You're actually scaring me.  What are you doing? Right. No, no, no, no, no, no. What is up, Marvel Squad? And welcome back to our channel. As you see, it's just me. Bill is currently upstairs right now editing a YouTube video that is going up this week. I basically just told him I'm not really feeling the best. I'm gonna go lay down downstairs, which FYI, I am feeling great. I'm energized. I'm ready to go. Little does he know that I'm pulling a prank on him. As you guys rub the title and the reason you clicked into this video, I'm gonna be doing the sleepwalking prank on Bill. There was actually a fan who reached out to me on Instagram and was like, I have an awesome idea. So I'm gonna give a huge shout out to Vail Johnson underscore, she DMed me on Instagram and said, I have a great prank I did for you on Bill. I think it would be hilarious if you did a sleepwalking prank on him. And I'm like, that is perfect. I've not seen a lot of people do that. So I'm gonna hurry up, set up the camera. I'm also going to set up our other, I have my other Arcana G7X. Obviously I'm filming off the bigger camera, but we also have our Canon here, which is awesome. I'm so glad we have multiple cameras so I can get different angles. I'm gonna set this camera upstairs. And I wanna make sure I get every single angle wherever I am going. And it's supposed to be so funny and can't wait to see Bill's reaction. And usually when you sleepwalk, you're not supposed to touch them or you're not really supposed to wake them or move them. I don't really know what you should do, but Bill used to sleepwalk all the time. So I think you'll know how to handle me sleepwalking. Team Mariah has been making a comeback on this page as you guys know, I've seen. Bill has not pranked me in a while.  Let's give this video to 10,000 likes you guys have been killing it. If you guys want a post notification shout out, make sure you go hit that subscribe button and turn on your post notifications so you get notified every single time we post. And once you do that, make sure to comment down below when done so you guys can get a chance to be in the end of the video post notification shout out. Also stay tuned for the end of the video. We always do questions of the day. So if you guys want to be a part of like our little questions, make sure to wait till the end of the video. I also wanna give a huge shout out to our TikTok supporters that are up on the screen right here. Thank you guys so much for being part of our live streams. We love you guys about anything in the world and without you guys, we would not be here. I'm gonna go set up the cameras and I will see you guys in just a minute. All right guys, so I just set up the upstairs camera. So I'm basically gonna be start making like grunting noises weird as it sounds because I'm gonna make it seem like I'm having a bad dream. And then hopefully that gets him to like kinda see. And then if he doesn't come down here I'm gonna start sleepwalking upstairs and you will see that on the upstairs camera.  He's so cute. You okay? Right, are you okay? Baby, are you asleep? Are you actually? Oh my God. Hold on, I need to take a picture of this. She's sleepwalking. Oh my God.  Hold on, I'm gonna take an Instagram video. Baby, careful, hold on, hold on, hold on. This is hilarious, guys.  Mariah's actually sleepwalking. I don't know the bigger, that's crazy. Oh my God, baby.  I've never, babe, are you actually asleep? I've never seen this before. Hold on. I'm sorry, wait, wait. I'm not supposed to wake a sleepwalker, right?  Oh my God. Baby, careful. Careful. Honey, oh my gosh, come here. Keep walking. I don't know if you could hear me, but I don't. Hold on. Hold on. Babe, you're legit. Oh my gosh. I've never seen this before. This is crazy. Honey, it's okay, I'm here. Oh, be careful. Oh my gosh. Baby, oh my gosh, this is crazy. Babe, it's okay. It's okay. Mariah, I'm here. Oh my gosh. Are you awake?  You're not supposed to wake a sleepwalker up.  You're scaring me, stop. Stop, what are you doing? Stop. Mariah, no, no, no, no, no, no, no, no, no. Oh my gosh. Baby, it's okay. I'm here. Don't worry. This is insane. Are you okay? Wake up, wake up, wake up. You can't go anywhere. You can't. This is not happening. Babe, I don't know what's going on right now, but you need to sit down. No. Stop, you're scaring me. No, I said no. What are you looking at? No, he said no. Babe, I'm here for you. Me? Are you a sleeper? What do you want me to do? Okay, what do you want me to do? Come on. You can't come over here. You can't come over. Stand up. You can't come over here. You can't do that. Who, me? No to what? Come here. You're going back down. You're going back down. You're going back down. No. Come on. He said no. I said no, no, no, no. I'm here. I'm here. It's not me. I'm not a bad guy. I'm not a bad guy. Sit down. Sit down. Stop resisting. Sit down. That's it. Wake up. Honey. Honey, baby. Wake up. Get up. Run. Run. Wake up. Time, wake up. Yay, wake up. Babe. Wake up. Mariah, you're literally sleepwalking. Mariah. Mariah, wake up. You're literally sleepwalking. Come on. Wake up now. Babe. Hi. What's going on? Hi. Are you OK? Hi. Wake up. Mariah, this is serious. I need to talk to you. Wake up. I have something to say. Did you know that you were sleepwalking? What? You were sleepwalking upstairs and down here. Dad, I've never seen anything like it before. I'm blind. I'm not blind. You were literally walking up and down the stairs on your own. I was editing, and then I saw you upstairs. I thought you were just messing around your way, but you were asleep. You didn't know where you were at all. No. I swear, I had done it when I was a kid. That's the only reason why I believe it's true. And I know you've done it when you were a kid. That's the only reason why I believe it's true. Oh, sleepwalking? Up the stairs. That's scary, dude. I held you down the stairs. That's creepy. But I didn't see you come up the stairs. That's now that's trippy. That's scary.  I don't want to. There's something wrong, Mariah.  Sit up. I was having a really bad dream. Like, some guy was chasing me. I was trying to run away. He literally kept saying, no, no. And I'm like, what do I do? I was like, what did I do wrong? Because you kept swatting at me. Like, swatting. Like, I was a bad guy. Here, get some water. That is crazy. I tried as hard as I could. I tried as hard as I could to keep you, but you were literally just flopping yourself on the ground.   You were running into doors. Like, you were running into the door up there. Does your shoulder hurt? No, I'm fine. Does your legs hurt at all? But I don't know what's really funny. Listen to me. Do you want to know what makes this more funny? Does anything hurt? Do you want to know what makes it more funny? What? Because it's a prank. No, you weren't. That's taking to you, Mariah. No, you weren't. Are you kidding me? Yes. Silly goober doober. You were awake the whole time. Yes. I'm going to serve anything. I'm going to service. No. No. What is this crap? Let me show you. Come on. Oh, my gosh, babe. Do you have no idea how bad that scared me? I had another camera sitting right here, Bill. Does that that? We haven't even used that in a year. Does that still work? I know. What? Hashtag team Mariah, Bill. You've been slacking hard, hard. And I came back really hard. This girl, DM me on Instagram, Val. This girl, Val, DM me was like, I have a great prank idea. You should just sleepwalk and prank. And I'm like, that's perfect. This turned out really good. Do people actually swat like that when they sleepwalk? I think I used to do stuff like that. You were swatting today, so I thought, yeah. I was having a bad dream. I wouldn't imagine people sleepwalk out of their houses, like locked doors.  OK, first of all, this is not going down. I want you to know before we get on with this outro that Team Bill is going to be coming back Marvel Squad. So hey, wait, turn that camera over here. Please don't listen to him. So if you are new to our channel, make sure to subscribe and get ready for Team Bill Pranks because I come back way stronger. She initiates the prank war. And then I just hit her with the sucker punch, the uppercut, the straight elbow, the chair over the head, all that good stuff. But get ready for those. I'm not going to try to back yourself up, but in the reality of it all, I'm going to run this channel. For all of my family members out here that are subscribed to us and all the new ones coming through, I got to let you guys know that you don't doubt Team Bill.  I am a prankster, but this camera is way too heavy, so I always make him film different pranks. If you are not new to our channel, you already know. She literally makes me hold the camera, even if it's her prank or not. It's so heavy and I can't feel the weakly arms. First thing, I really hope the stuff that you filmed on here was actually filming because we haven't used this camera in literally a year. We haven't. So I don't even know if that works. I used to sleepwalk when I was a kid.  We literally just talked about this a week ago. If you don't know the scary movie, Freddy Kruger, I watched the scary movie and then I slept, walked and acted like Freddy Kruger. That's scary. Do you want to know what's even more creepy? Freddy Kruger, all the scary stuff that happens is based on in people's dreams. Yeah, oh. So that was creepy thing. I haven't slept all because I was little, but I heard that you used to sleepwalk too. How you did. And that's the only reason why I also believe that you were capable of doing it. I just assumed that- It's so weird because do adults still sleepwalk because like- I feel like they do. If anyone else has ever sleptwalk or has known if someone that has sleptwalk, make sure to comment down below because I'm actually very curious to see how many people actually sleepwalk, you know what I mean? Like if that's like an actual main thing that goes on. But Marvel Squad, how did you feel like pranking you again? I don't even want to do this outro, what? How do you feel like I pranked you again?  I'm not going to let you down. I hope you had a good laugh at today's video and I really, really hope you enjoyed because get ready, this is only the start. Okay. Thanks for bringing in all of my new bill, bill members in here. Prank wars is on, baby. Huh? Prank wars is on. It's been on, I don't know what you're talking about. It is, but that's why I've been crushing it recently and you have it, huh? Crushing it, more like just getting by, you know what I mean?  I'm like a wasp. Okay.  Oh, okay. You know, right in your eye. Anyways, all of the squad, make sure you give this video a big thumbs up. And before we end the video, we do have to give a post notification shout out. Shout out. And this shout out goes to Val Johnson for giving me this video idea. Val, thank you so much for the video idea and any of you that also have video ideas for us. Go on our. Make sure to DM us. On Instagram, because I see all you guys posting the pranks in the comments but we don't want each other to know what that is. And. So go on our Instagrams and DM us. If we do the video that you think of, we will also shout you out in the video. It's a guarantee in YouTube shout out. Yeah, there is a guarantee in YouTube shout out. But anyways, another way to get a YouTube shout out is you have to be subscribed with post notifications on so you get notified every single time we post. And then you have to like the video and comment down below when done. Also, wait. We have to do the question of the day. There's a question of the day at the end of every single video for those who are supportive to watch our videos till the end. And that question. I think that question should honestly be about if you sleepwalk or not. Or if you have ever sleptwalk or know of someone that has. And comment down below your experience. What was the crazy experience that if you did sleepwalk? Yes. Comment what you did. So that is the question of the day. Thank you guys so much for being supportive and watching our videos till the end. And we will see you in the next video. But until then. Peace. Peace.


Ghost town. Walking the streets of this ghost town, watching ghost people laugh and play and indulge like Gaza isn't burning, like children aren't starving, like people aren't dying slowly trapped under rubble next to the corpses of their loved ones, like IDF troops aren't merrily picking off civilians with drones and snipers while children get their limbs amputated without anesthetic, with the full support of this ghost civilization and its ghost leaders. This ghost town full of ghost cars, ghost buses, ghost trains, ghost pubs, ghost concerts, ghost theme parks, ghost cinemas, ghost festivals, ghost laughter, ghost feasting, ghost shopping, all going on just the same as it was before all this started. Little children running around with flesh on their bones and their organs inside their bodies like they're supposed to be, supervised by ghost parents with heads full of social clout and gossip. Last month the man set himself on fire before the Israeli embassy and screamed free Palestine as he burned. He was not a ghost. He was flesh and blood real. He saw it. He responded to it. He treated this nightmare like the thing that it is. We don't do that in this ghost town. We stare at screens and shovel snacks and booze into the gaping void within ourselves and flail our attention around looking for anything that will keep us from even a momentary encounter with the real. We do not look at Gaza. We look at everything except Gaza. So we keep the charade going, frantically keeping the gears of this ghost town turning like hamsters on a running wheel, running faster and faster because we can feel the wet mouth of authenticity nipping at our heels. It's like a giant theater improv game we're all playing together where the whole instruction is to keep the scene in a constant state of frenetic motion because we all know what will happen if we are still on some level. We all know that stillness allows the smoke to clear and the mud to settle in the water and from there it's only a matter of time before we find ourselves in the tyrannical grip of clarity and then it will all bubble up the lies, the phoniness, the discontentment, the feelings, shame, guilt, truth, Gaza. But there's only so long you can run from yourself. There's only so far you can flee before you get exhausted and fall down and find yourself staring up at the sky you've been living under your whole life. This fraudulent ghost town can't keep up this charade forever. None of this is sustainable. At some point and in some way, truth inevitably comes crashing in.


On the other side, like... There are lions here? No, there are no lions. But this is the reason why there are no lions, right? Yeah! Mama, I made it. You know what? Because I am here at the first and oldest mining site in the entire world. Is it true? Yes ma' friend. Yes ma'am, yeah. My name is Vijay. Vijay? Ya, Pegi, Chabulani, Shabamu. Pegi, Chabulani. Chabulani? Ya, you know, have you been to Kenya? No, but I am from Kenya because Kenya is Africa. Thank you so much man. So which means you are African born in Eswatini. Ya, ya, ya. But when you go to Kenya, you are not a foreigner. I love you so much. So the place where you are right now is called Nguenya. Nguenya? Ya. I think I know the meaning of Nguenya. What is the meaning of Nguenya? Crocodile. Ya, you are in the crocodile place. Crocodile place in Eswatini. And then this area is reaching mineral called iron ore. Iron? Ya, iron ore. So I just wanna show you the samples of iron. Again you can come around. Just look at this one. Ya. So iron, the color of iron is looking black like this one. This doesn't look black. This looks like pink. Oh, this is black. Ya, the reason is looking pinkish is because of rusting oxidation. So that's why it's looking black. Ya, this is money right here. Can I take it away? With you? Ya. Not now. Okay, then the simplest method you identify, good quality and bad quality iron, it is by the color. When it's looking black or more red, black and more red, it's more red because of oxidation. Oxidized and then density. This is another thing we can use. Density when it's more heavy. So we can try man. Okay. Which one do you think is the biggest one? You said the more blacker. The more iron. The more iron. This doesn't look black. This doesn't look black. This doesn't... Eh, kinda. But I feel like this is more black. Ya, so let's try left it up. Left it up? Ya. I've never been to the military training. Let me check it out.  Okay, let's start with this one. Let's start with this one. Go, this one is looking like it. This one is speaking. Ya. It seems this one is bigger but... Okay. But one hand. Which means I can even carry the streets. With one finger. One finger. Eh. No. I know. What? Too big. Too big. More iron than it. Okay. Now let's go up there to the lion cabin. Amazing. Thank you. Wow. I was told that this place is the oldest mine in the entire world. And I wanted to come in here and see things for myself, learn something new. And also educate so many people out there. So are you ready to educate us? You're welcome sir. Thank you so much. So now we're just hiking to the lion cabin. It's called the lion cabin. Lion cabin. Oh, that's why I thought there's lions over there. Ya, but there are no lions. So do you know beer? Beer. I know that. Okay, insane. Here in Eswatini we have our own brand called Sibebe. Sibebe. Apart from the mountains. Okay. Then we have Sibebe beer. This is local beer. Local beer. Local beer. I think I'll check that one out. Then South Africa they have what we call lion castle and lot of beers. So what happened is that this area tend to be a tourist attraction area in the early 80s. It was a tourist attraction area. What was here that people have to come and see? Ya, this is now just like taking tourists up there. So this area tend to be a tourist attraction area around the early 80s. Okay. So before that people were just coming, not giving man, not paying. Oh, okay. Nobody is in control. Nobody to tell you what was happening and who was doing what. Okay. So what they find there, they found that there were empty cans written lion laka in that. Then they say it's a lion because of the can. Lion. Okay. Then kevins come from the world cave because it's just a small cave. Small cave. That's why they call it lion cave. Okay, now I understand. Okay, as we going to around Kevin. Okay. Ya. I'm already tired. Ya, so let's wait. I just want to show you something. Okay. You know what, this side. Ya. It's South Africa because you know neighbouring country is South Africa. Oh, you can see South Africa from here. Ya, ya, ya. Is that road? Ya, that gravel road. That gravel road is in South Africa. It's in South Africa. Boundaries just lies that side now. But it's hidden that side now. Okay. If you look at the houses they are looking more white. Ya. That is the porakei to South Africa. It's called Oshook Orungwenya Porakei to South Africa. That is a border between Swaziland and South Africa. Between Swaziland and South Africa. Oh, that's amazing. You can see all of them from here. I just can't wait to see what is ahead of us. Thank you. Ya, let's go. Let's go man. It's a minita way. Oh my God. Ya, this is an adventure. Ya, so the Launkevin the people mining here about 43,000 years ago. Look at here. 43,000 years ago. 43,000 years ago. That is the ancestors of the sand. That is the pushmen. Wow. They were mining hermitite. This is... They were mining hermitite and spekuralite. Wow. So as we know the lab, this is the Launkevin. Who? It's not too big.  The reason it's not big is because this is during the stone age period. So these people they didn't have modern tools just for mining. Ya. So this is all iron. If we were having magnet, I was going to show you that this is iron. So you cannot break it. So these people they were using stones. Stones to mine. To mine. Okay. So why they were mining this site? Ya. Here we have a material we call spekuralite. Spekuralite is just a shiny material.  They were wearing those unmaskins. So when it is hot like today, they wanted something to protect them. Ya. So this works as a sunscreen. Like this one. You take this and then... I try. Put it on your skin. Ya, just put it here. Just look at the difference. Oh. So how it looks like. It's like modern makeup. Ya, this is like modern makeup. This is what these people were doing. Okay. That is not too big. So somebody can ask me why you call it the oldest in the world. We are saying it is the oldest mine known in the world because a professor from Vet University, an archaeologist. That is professor Peter Pumak. Okay. So they arrived here and then they took this for samples. Took some samples. Took it for redocup on dating. And it pektated to 43,000 years ago. 43,000 years ago it's even before the arrival of the Saudi people. So by the time it is ancient time. Ya. By the time where the people were living near the sand. So this mine belongs to the sand people. Wow. Wow. So like this was started by the sand. Yes. The sand people. So after the sand people, which people took over? After the sand people arrived another people. We called them the Bandu speaking settlers. So the Bandu speaking settlers are the Nguni. They are coming from East Africa and Central Africa. By the arrival of the Nguni during the period we called it there. What you called? Ion. Ion AGS. Okay. So when they came in here there were conflicts because these people they keep even they were thinking that there is a holy god of the mountain. So this place was more like to them was like a church. Wow. If I can say like that. Ya. So when these people they arrived they said we want the iron. We want to melt it. And do tools, make some tools because these people do agriculture. So like conflicts. So that is why if you go all around the world like South Africa. Descendence of the sand. We no longer have. We no longer have few hundred percent sand people to be. So they were like fighting some of them they got killed and some of them they intermerled. So then we have these people we call Kwaisen. Kwaisen people. Wow. This is the oldest mine. Like I said Africa is really blessed. The richest continent in the world like no doubt about that. Even in the olden days we are mining in here. I mean what else should I tell you? We want to see after them which people came in. Like you said like the Bantu people. And then after the Bantu people? After the Bantu people then they started what we call commercial mining. Commercial mining. Ya because after the Bantu people that was that is when they can return to be swazi. Because the Bantu people they can return to be swazi. So when they Europe and the Arab it's when they cut like they may fit South Africa in the divisions. Because they are just like one people. Even the language was more like the same. So then 1964 it's the beginning of the commercial mining. 1964. Okay. And ended in 1977. Okay. Ya as I was explaining about commercial mining. Ya. Commercial mining started 1964. Okay. The mining company called Anga American and they stopped 1977. As you can see all year it was like big mountain like that one. Big mountain. Very very big mountain. And they dig down. Even the water is coming from underground. Underground? Ya underground. They've taken all the minerals away. I think they've taken about 28,370 tons of good quality iron. As I was showing you that side paid quality and good quality. Quality ya. So it was being taken from here to Mozambique. Then from Mozambique it was taken to Japan. African resources don't even stay in Africa. That's the saddest part about Africa. We have all these resources but they don't use to develop our continent. I mean I don't want to use the words too. But ya they still to develop their various continent. But where the thing is coming from they don't really care. Ya know it's so bad man because ya know what have happened we didn't produce anything from the iron. They're just taking it as raw material to Japan. So they say in Japan we have mountain called Swaziland. They have a mountain called Swaziland in Japan. In Japan. Iron Mountain Japan now. So now they're coming back to Swaziland maybe it's kwaas. Expensive but to be cheap by the time ya know. These are our own iron to make kwaas and then ship it back to us. Expensive now. Expensive. Expensive. God bless Africa man. Okay thank you man. Yes this is the last phase now. Oh wow. See this one this is the iron. Like Kassaba told you that it's black. So the last phase was done by Salgaoka. Kambani from India. They are from India coming from India. So this one we're crashing. We're crashing this one. Crashing this one to be like this one. So that is why it's looking like this is the same thing. But ya know they were supposed to work for 7 years. 7 years in the country. Okay. But they only work from 2012 and mid 2015. Fly away. Fly by night. That's 3 and a half years. Yes they fly by night. Ya. Why do they fly by night? It's because these guys they started cheating. Because this is the poor quality side. So they're supposed to take only the poor. Now they're starting digging the good quality. So when we discover that now these people they are taking the good quality. Fly by now. So that is why if you look at all this side. It's their machinery. They just left everything. Wow. It's all from money. It's so much money. Too much money. They left everything here. Left everything there. Ya know. And somebody told me that one is waiting a million, more than a million run. Ya. So they roll a thing. They call it springs and the stands. But I don't know. What's coming from South Africa. Working for mining company. They left everything here. They just left. I mean why do we allow foreigners to, I mean still from us. You don't think it's stealing? I think it is because you know what Africans we don't believe on ourselves. We think that if somebody coming from outside it's more intelligent than us. Than us. Ya. That is my own assumption. I mean no one is more intelligent than us. I mean I feel like we have to unite as one. Even within us. Unite as one. Work together as one family. Because you see these people have no good for you. Ya know they came. Oh we're gonna do this and they start stealing. Ya. They're stealing the entire resource of Africa. I even believe that in future we, the next generation will not even have go to mine. Because we have gold everywhere in Africa. We have diamond box site. So. Ya. Maybe Africa must unite. I think. That's the most important thing. Remove borders and restart. And the richest, the richest, the richest continent. Look at that. Everyone comes, take their portion and go away. And you know I was just trying to understand why have they left everything like that. Because this thing is going to be expensive man. It is because one come and said a bank. They said that they taken a loan in the bank. So they use the money from the bank to buy all these stuffs. So when they have made the profit they just left it like that. That is why they just don't care. And how can the bank find them? No you cannot find them. It's just like a 7 year contract. So they pay for the 3 and a half. Then they are remaining. They left the country at night. They left the country at night. We cannot even trust them. So sad brother. Ya this is sad. Apart from we getting to know about the oldest mine. The view in this place is absolutely bread taking. Trust me Africa got everything. I mean I always say that Africa is the most underrated continent in the world. But people don't believe. Just have a look at this view. Oh my goodness. I think the people who discovered this place knew what is here. Because if they never discovered this we will never come here to enjoy this beautiful bread taking view. So boy Mr Ghana baby I need to say sorry please. Please I forgot about you. I see views like that. I am like oh my goodness I need to let people know that Africa is beautiful. I want to say not only Africa not only the land of Africa. Look at us beautiful people. Thank you so much. Beautiful Africa. Thank you so much. You have any message to tell your fellow brothers and sisters from other part of Africa? Ya ya ya. Small message. What is the message? They are listening. I am just telling you ladies and gentlemen come to Africa. Africa is the most beautiful. Beautiful Africa. And the richest in the world is Africa. Each and every mineral you will find it in Africa. Beautiful people. Africa I love you all. I love you all. Thank you so much for watching this episode. I am going to see you inside the oldest man inside in Africa. I am going to mind my own all before I leave here. I need to be rich. Cannot just come here and go home poor. I am Maya. Bye.


Hello and welcome to the first look at the week ahead of 2017 on Monday the 9th of January. Before I get started I have to do a quick risk warning. The only thing that I talk about in this video should not be construed as trading advice, it's just for general information purposes only, and it's guidelines to the key levels on the various markets that I'll be covering with respect to this week's presentation. So once we've taken time to digest the various risk warnings we can then get started and have a look at some of the key events that I will be keeping an eye on for this week. We're going to start with the aftermath of Friday's payrolls report. Friday's payrolls report was a little bit disappointing on the headline number 156,000 new jobs, new US jobs. The unemployment rate rose ever so slightly to 4.7% from 4.6%, but what the markets decided to focus on was the big rise in average hourly earnings which came in at an annualised 2.9%. And that's what really I think drove the dollar higher on Friday and we're seeing a little bit of a pullback on that today even though the pound is taking centre stage this morning after those comments at the weekend from Theresa May about her focus on immigration as opposed to membership of the single market. Now she hasn't really said anything new with respect to that, but the currency markets have interpreted that as raising the prospect that the UK could well leave the single market and the pound has pushed back to levels last seen at the end of last year and about October when it went as low as 1,2080. So the pound is the worst performing G8 currency today, closely followed by the Norwegian Kroner and the Canadian Dollar and the reason those two currencies are weak is because oil prices have slipped back as well. So for the purposes of this week and my focus this week it's going to be primarily on the reflation trade because in the aftermath of Friday's numbers the Dow Jones finally got around to try and retest that 20,000 level. Now that 20,000 level is just about intact on the futures, on the Dow Jones futures. We're currently trading at around about 19,945, so we have pulled back once again from that 20,000 level. If we look at the weekly chart we can see that there is a significant area of resistance around that level. We've had a number of goes at it without actually being able to gain a foothold above it. FTSE 100 has been the outstanding performing market today. We've once again made new record highs on that. We can see that from this chart here and I think that's primarily as a result of the weaker pound. We did initially post a high of around about 70,000, just in the aftermath of the open. We have since slipped back a little bit on the back of the fact that ultimately European markets have been a little bit on the weaker side today after the gains that we've seen over the course of the past few weeks. Let's not forget the fact that we have seen some significant gains pretty much across the board over the course of the past few weeks and we haven't really seen that much in the way of profit taking. FTSE 100 has made a new record high. The DAX has slipped back a little bit on the back of what I would suggest is actually fairly decent economic data out of Germany, though Italy once again has been the sick man of Europe. Its unemployment rates jumped from 11.6% to 11.9%. We've seen a very strong down move in the last four hours on the German DAX and I think that's primarily as a result of a little bit of weakness in financials and a little bit of profit taking after the gains that we've seen over the course of the past week or so. We haven't really been able to build on the gains that we made at the beginning of this year or be it we are still trading at the highest levels that we've been at since November basically. Since December we've been pretty much trading one way on the back of a weaker Euro. The Euro is still a little bit on the weaker side but we haven't actually been able to push much below 105 and while we remain above that 105 level and I think it's going to be very, very tricky for the DAX to really push above this significant resistance level that we saw at the beginning of the year and this is the level that I'm really targeting for further gains on the DAX. We highlight these highs from August 2015. We haven't really gained the momentum that we really need to really push above this resistance level. Those January highs that we saw in the aftermath of the push higher at the beginning of last week haven't really been able to sustain them in the short to medium term despite the fact that the Euro has slipped back from its highs that we saw in the middle of last week but we still remain well off the lows that we saw at the beginning of the year at 103-40 and the key level I think on the Euro is around these peaks that we saw at the end of December around about 106-20. At the moment we look to be in a bit of a range between the mid-103s and the 106 area. The Euro does appear to be trading a little bit sideways despite the rally that we've seen in some of the banking stocks over the course of the past few days and we've talked about the reflation trade. We've talked about the potential for higher inflation driving equity markets higher or particularly financials and they've been one of the best performers over the course of the past few months but there does appear to be some evidence that that reflation trade is starting to run out of steam certainly in terms of the differentials between say for example the two-year yield and the 10-year yield and that's borne out by this chart here. We can see the Trump trade here this is where spread differentials started to widen out on an expectation that Mr. Trump would inaugurate a significant round of tax cuts and spending increases obviously that's prompted concerns at the Federal Reserve or an expectation that the Federal Reserve would hike interest rates on a much steeper trajectory over the course of the next 12 months. We've seen the rate hike and we saw the rate hike in the middle of December but since then those expectations have come down so the gap between the two-year and the 10-year has started to narrow again and one of the things I will be looking at this week is the start of US earning season and particularly US banking stocks because over the course of the past few months US banking stocks have gone on a tear since the inauguration of Donald Trump on an expectation that we're going to get essentially a much bigger differential between short-term yields and long-term yields. I think that's important so what we're seeing here is at the moment a little bit of a tapering off in the differentials between short-term US government debt and long-term government debt. What's also quite interesting is that same differential gap is also narrowing between US 10-year yields and 10-year bond yields. So the differentials in favor of the US dollar over the euro which were at their peak at the end of December and where we saw the new multi-year low in euro dollar around about 103.40 is coming back in the euro's favor. The differential is narrowing to be less in favor of the dollar and that could well be fairly euro supportive. So while this is trending down, this differential between the 10-year US Treasury and the 10-year bond then it's going to be that much more difficult for euro dollar to push much below the levels that we saw at the middle of last week. Now if this differential starts to widen up again in favor of the dollar then obviously that will be dollar positive it will be euro negative. So it's important to understand the differentials between the interest rate differentials that drive a currency exchange rate and at the moment with euro dollar currently finding a little bit of support about 103.40 a large part of the reason for that is because the differentials between 10-year US 10-year and the German 10-year are narrowing in the euro's favor albeit there's still 2% in the dollar's favor but it's about differentials widening out or coming back into sink. So in that context this is why this euro dollar chart is quite important. We look at this euro dollar long-term chart and we look at these series of lows around about the mid-103's and it suggests to me that there is a significant amount of buying interest at these sorts of levels. That being said if we're to break below the mid-103's then the likelihood is we're probably going to head back towards parity and the reason for that we can't forget this big trend line breakout that we saw at the beginning or at the end of 2016 which saw us break below this long-term trend line from the all-time lows in euro dollar which are around about 82.50 or at the beginning of the noughties. We're broken below that and on a monthly basis and we have as yet been unable to break back above that line. So zooming back in again you take a very long-term view that the long-term direction is still down. We're moving a little bit of a base at around about 103.40, 103.50 which means that any rallies to stabilize your dollar need to get back above this line here and the 50-day moving average at around about 106.20.30. Anything else in between is going to be range trading. So at the moment finding resistance around about 106.20 finding support around about 104.80, 105 in the short to medium term with the largest support at 103.50. So that's really I think the trading range that we've got for euro dollar at the moment. And it's a similar sort of story with respect to the pound. We've got a host of economic data out later this week for sterling, UK trade, industrial production and manufacturing production. We did see a significant rebound in the PMIs for manufacturing and construction and that would suggest to me that ultimately the UK economy still remains in fairly decent shape. But on a technical basis what is bad news for the pound is the break below this 122 area that had managed to hold all the rebounds in the pound through the back end of December into the beginning of January. This morning's price action and obviously the decent dollar numbers that we saw on Friday have conspired to push the pound below 122 and that brings it back into focus with respect to these lows that we saw at around about the 121 and the 120.80 level that we saw in the middle of October. Now we did trade briefly below that in terms of the flash crash lows at the beginning of August to down to around about 119.50 but by and large that 120.80 level, 121 is the next key support level on the pound against the dollar so what we need to do to stabilize on sterling against the dollar is for us to rebound back and hold above 122. It's all about levels in terms of currency markets and at the moment while we're below 122 then the bias has shifted slightly towards the downside irrespective of what this oscillator is telling us yes we are oversold but we could drift back down to around about this 121 area if we do gain a foothold back above 122.10, 122.20 then this range trading this range trade that we've been in for the past few months is likely to continue we'll probably head back towards 123.20 and around 124 which is contrived to keep the pound in the range that we've been in over the course of the past few weeks and months. So we're going to go back to the reflation trade because ultimately what we've seen over the course of the past couple of weeks is German inflation hit its highest levels for quite some time 1.7% we've seen US inflation and US wages hit their highest levels in a couple of years and certainly US wages hit the highest levels in since 2011 so 5 to 6 years and that suggests that there is potential for further rate rises from the US Federal Reserve I think the key question around that is surrounding timing certainly in the context of what we saw from the Federal Reserve minutes that came out on Wednesday the outlook is still for at least 2 to 3 US rate rises this year the key question is when is the next one going to come at the moment the market is starting to price in the prospect of at the earliest sometime in March I still think that's too early we still have the unknown effect of what Donald Trump will do when he finally gets his when he gets himself into the driving seat of the US presidency and that will happen on the 20th of January at the moment he's still president-elect ultimately the market is pricing in I think perfection in terms of what to expect from Mr. Trump at the moment he now needs to deliver on that and ultimately that still remains very much an unknown quantity so this week the reflation trade could get a further kick higher in terms of Chinese inflation so we're going to be looking at the market calendar and these are going to be the key things that I'm looking at for this week and you can find the market calendar in the full section of the trading platform so tomorrow morning at around about 1.30 we've got Chinese CPI and that's expected to come in at 2.3% that's unchanged but what's been driving Chinese inflation higher and global inflation higher has been Chinese PPI now that was at 3.3% in November and that was up quite substantially from the October number of 1.2% we're expecting another significant increase in Chinese PPI to 4.5% now that's a significant turnaround because back in August Chinese PPI was in negative territory so over the course of about the last six months Chinese PPI has turned around quite substantially from negative territory to be in firmly positive territory and part of that will be higher food prices but it's also the fact that since then we've seen a significant rebound not only in oil prices which has driven input prices higher we've seen that in the UK in terms of input prices in the PMI data but also higher iron ore prices and China has been a big consumer of that particular raw material we've also seen a big rebound in copper prices as well over the course of that period which is borne out in the rebound that we saw from the October lows to the peaks that we saw in November and December so we can see that there's an awful lot of latent price inflation starting to feed through into some of the PPI numbers which in turn will then factor in to the CPI numbers as we head down the line I think the big question is going forward how much of those PPI price increases will start to trickle down the supply chain and go into the CPI numbers as we head into 2017 what we've seen since November and December is prices start to come off and we've seen that in copper we've seen that in iron ore and we are now starting to potentially see it in Brent crude prices we're certainly seeing it today we've seen the big rebound in November and December so that's likely to factor in to the numbers that we saw from a year ago we can certainly see that in these numbers here from the beginning of 2016 and this is something that I think the market is underestimating a little bit over the course of the next few days oil prices were at the beginning of 2016 and where they bottomed out in 2016 and where we are now we can see from this chart even from when we ended 2015 oil prices are up over 50% 50% so that is going to feed into the inflation numbers as we head into 2017 if you then factor in the fact that sterling is significantly lower from where it was a year ago and so is the euro then the likelihood is we're going to see higher inflation feed in to EU inflation as well as UK inflation and potentially Chinese inflation because the one is also weaker over the course of the last 12 months and we can see that the Chinese one there's no better illustrated in this chart here on the offshore we can do that very easily here and we can see that we've seen a big jump in the Chinese one over 4% over the course of the last 12 months or so and yes we have come back significantly over the course of the past couple of days but what we haven't done is we haven't taken out these series of lows that we saw in October having said that this is a reversal which suggests that potentially despite the rebound that we're seeing today in the dollar one we could well see a little bit of a pullback to around about 673, 672 before another go at that 7 level this bearish engulfing week would appear to suggest we might get a rebound back to 6.9, 6.93 on the 1 against the dollar but ultimately the market will be very reluctant to push it significantly higher just in case the Chinese authorities come in to strengthen the one and basically just temper the declines that we've seen over the course of the past couple of years because over the past couple of years the one has weakened by about 10.7% and that is going to be a worry going forward I think the rebound that we've seen in the US dollar at some point in the US earnings and that's something that I will be keeping an eye out for the remainder of this week because looking at the US banks is going to be particularly interesting given the gains that we've seen in US banks over the course of the past few months if we look at Bank of America whose earnings are out later this week we can see that since November we've seen the Trump bump quite significantly over the course of the past past 8 weeks 8 to 10 weeks we've seen a big big rebound in US banks but you look at where we were just under a year ago Bank of America's share price is up 59% so just given what I've shown you with respect to the widening out of yield differentials that I talked about earlier it's going to boost US bank profitability and certainly in terms of banking profits over the course of the past 12 to 18 months US banks have outperformed the European and UK peers so it could be argued that an awful lot of this increase in profitability if we look at US banks is by and large already priced in if we look at the performance since the beginning of 2016 Bank of America is up 33% if we look at JP Morgan Chase again we've got similar significant levels of rebounds in the share price so the argument is how much of this improvement in profitability is already priced in again we've got the Trump bump here from early November so we've gone from $70 up to almost $90 not quite there got to about $85, $87 maybe the financials given the narrowing in the yield differentials that I talked about earlier maybe we are about to see a little bit of a correction in US financials having said that if we compare to what's happened over the course of the past 12 to 18 months to say for example where we were 2007-2008 we can see that US banks are significantly above the levels of the financial crisis particularly JP Morgan Chase probably Bank of America not so much let's have a quick look at that over a longer term time frame and you can see that JP Morgan is very much the outperformer when it comes to the rebound that we've seen in say for example Bank of America and we've also got Wells Fargo Wells Fargo is a much better barometer of the internal US economy because it has a much more domestic focus and we can see how that's performed over the course of the past few weeks and certainly I think there is going to be some concern about the scandal that surrounded Wells Fargo and the misselling of the misselling scandal that we saw at the end of last year that's been largely reversed in the wake of the Trump bump but again here there is some evidence that potentially we could see a little bit of a correction over the course of two sessions so I think really for US banks to continue their move higher what we really need to see is their earnings announcements beat expectations but not only that their forecasts for 2016 also I think need to beat expectations as well they need to deliver a fairly upbeat outlook for 2017 and you have to temper that I think with expectations of higher rates because ultimately the US mortgage market is very susceptible to any increase in interest rates so their profitability will be dependent on the yield curve the differentials between the yield curves remaining at their current levels and not coming in further at the moment the likelihood is they're probably going to remain constant but an awful lot of that will be very much dependent on how wages perform over the course of the next few weeks and months and certainly the inflation numbers are going to be important in that context as well and I think that's why Friday's data Friday's US data will give us an insight into that as well because we also have on Friday following on from the PPI data CPI data that we saw out of China we're seeing out of China tomorrow morning if we scroll all the way forward we can look at first and foremost import prices for the US but also PPI now PPI is producer prices it's also factory gate prices they are expected to jump as well 1.6 1.5% from from slightly lower levels in November more importantly how is the US consumer doing we already know the UK consumer is doing fairly well or is spending probably at the expense of retailer's profit margins but nonetheless UK retail sales are at multi year highs annualized highs of 6.6% and ultimately it's not going to be a surprise to see that slow down US retail sales have been much more muted we are expecting a bit of an increase in US retail sales around about 0.5% but if we look at a spreadsheet of how these numbers have actually performed over the course of the past few months I'm quickly going to show you that now if I can get my Excel spreadsheet to open yep here it is right here we can see that this column here 2016 2017 2016 2016 just change that quickly we can see November retail sales slowed down a little bit in the US but the first part of that quarter on the end of Q3 and the beginning of Q4 was fairly strong so as we look at December and the pre Christmas period and the post Thanksgiving period the hope is that the slow down that we saw in November was temporary and that US retail sales picked up in the aftermath of that little bit of a slow down that we saw in November having said that big ticket items in the US have picked up as consumer confidence has risen but certainly I think rising inflation could start to temper that going forward so let's look at the outlook for Brent crude commodity prices in general because I think that's going to be a certain that's going to be a certain indicator as to whether or not these inflationary pressures that we've been talking about will be sustainable in the short to medium term at the moment we're finding a little bit of a barrier on Brent crude around about $57 we did spike above that a little bit over the course at the beginning of the year but at the moment Brent crude does appear to be finding its level at around about $56, $57 a barrel getting a little bit of a sell off today I think a large part of that is because of the rise in rig counts US rig counts that we saw on Friday they hit their highest levels in 12 months at $665 we also had data out this morning that Iraqi exports hit a record level in December and ultimately while these OPEC cuts that we've heard an awful lot about due to come on stream in January from the 1st of January it's going to be very very difficult for countries like Iraq Iran to start thinking about cutting back on exports in essence what I'm saying is will the actual reality match the promise to cut at the moment rig counts in the US are rising the fact is that Iraqi exports hit a record in December so did Iranian exports hit the highest levels for quite some time and the question is will they have the self-discipline will these exporters have the self-discipline to cut back on production we heard last week towards the end of last week that Saudi Arabia was talking about cutting production even further into February again it comes back to will the actions of the OPEC producers match the rhetoric and at the moment the market is not sure we've got a slightly weaker dollar today but we've also got slightly weaker commodity prices as well so $57 is the key level on the top side looking at the twin lows that we saw at the beginning of this year probably going to have a little bit of support around that sort of level on the four hour chart at around about $54 a barrel these twin lows that we saw earlier here on WTI it's probably going to be a similar sort of level we can see that on the chart points here take it back to daily and we can see that again here just below $55 a barrel support around about those twin lows around about $52, $51.80 but again anything above $54 a barrel for WTI it's starting to become a little bit difficult to sustain and if we look at gold prices despite the fact that we've got some very positive US data gold prices have shown no indication that they want to dip much below $11.70 in the short to medium term and ultimately if you're looking at higher rates in the US then gold is generally the first casualty of that we saw a bit of a sell off on Friday but we haven't actually been able to break below $11.70 and that suggests to me that maybe the potential for a weaker dollar over the course of the next few trading sessions is a distinct possibility certainly in the context of how the dollar index has been performing we haven't as yet been able to take out this very strong down move that we saw in the middle of last week the dollar index is finding a little bit of resistance the big resistance is at $104 we've got slightly shorter term resistance around about $102.50 at this area here I'm keeping an eye on that I'm also keeping an eye on Dolly Yen a significant resistance level for the US dollar and that's at these twin peaks that we saw at $118.65 these two levels here thus far we found a little bit of a resistance at $118.65.70 we saw a little bit of a test lower at the end of last week but we then saw a strong rebound in the wake of those US numbers so at the moment it's trading at $118.65 I think if we get a break either side of this range here then that could give us clues to the next directional move but in the longer term we must be cognizant of the fact that there's a big big trend line resistance on Dolly Yen from the peaks that we saw in 2015 which comes in just above these two peaks at $118.65 $118.70 which could limit any further move that we see would cap it at around about $120.50 so overall I think as we look at the week ahead I'm probably slightly bearish on the US dollar in the short to medium term and that would suggest to me that ultimately the downside is going to be limited on Euro dollar the upside is going to be fairly limited on Dolly Yen potentially that we could actually see a little bit of a rebound in currencies like the Aussie dollar and the Canadian dollar as well and I think the big level that I'm really looking at on the Dollar CAD in the context of a potentially weaker oil price is this trend line support that I've drawn in from this 2014 lows here which I talked about on the Friday non-farm payrolls at around about $131.50 so keep an eye out so my theme I think for this week is a slightly weaker dollar on the back of a little bit of affirming in bomb prices and slightly lower yields if anyone has any questions on anything that I've talked about over the course of the last 30 minutes please feel free to direct them to please feel free to to reply to this chat request reply to this chat request here otherwise I'll wind this webinar up for this week and if you have any questions contact me on Twitter at mhusen underscore CMC otherwise I will talk to you all same time, same place next week


Welcome back to our lecture series math 1050, college algebra for students at Southern Utah University. As usual, I'll be your professor today, Dr. Andrew Misseldine. In our previous two lectures in this series, lectures 26 and 27, we've talked a lot about factoring large degree polynomials. So we can find the real roots, which then help us solve polynomial equations. What I wanna do is continue in that vein, but in this lecture, I wanna talk about complex roots. So what if we wanna consider real roots and non real roots? So what if we allow for some imaginary component here? And this kind of helps complete a picture. And so this leads to what is commonly referred to as the fundamental theorem of algebra. Now, in mathematics, whenever we give a theorem a name, it's because we wanna reference it in the future. Like, so we can talk about theorem four, five, 22, right?  No one's gonna remember what that number means, right? So we give students names so we can talk about them. And so you'll see things like, oh, the conjugate pair theorem, we can talk about that. So theorems often get names when we want to remember them. And so whenever a theorem is named in this series, you watching it should know it by name so we could reference it in the future. Now, whenever the adjective fundamental is added in front of the word theorem, this means it's a big deal. We don't add the term fundamental just loosely. There's very few theorems in mathematics that are deserving of the title fundamental. Fundamental theorem of algebra is one of these things. It's a pretty big deal here. And so what the fundamental theorem of algebra actually tells us is that every complex polynomial F has a degree N, which it's great equal to one, so it's not a constant polynomial. Every complex polynomial has at least a complex root. This is the thing is not every polynomial has a root. It depends on the context of numbers you're talking about. Like, if you take the polynomial X squared plus one, this polynomial has no integer root. It has no rational root. It has no real root. But it does have a complex root. Specifically, it's going to be plus or minus the square root of negative one, which we call I. And so the thing about so important about complex numbers is that there's never going to be a polynomial we can come up with which cannot be solved over the complex number system. Worst case scenario, we need to use real and imaginary numbers to describe the solution. That's what the fundamental theorem of algebra tells us. We never have to have a bigger number system than the complex numbers when we're working with polynomials. And then some consequences of the fundamental theorem of algebra. Every complex polynomial function F of degree N greater than or equal to one can be factored into N linear factors. And these factors don't necessarily have to be distinct. They could be repeated.  You always have this linear factorization. Now some of the factors could be repeated. And the roots R1, R2, these could be complex numbers, which be aware that real numbers are complex numbers. It's not an either or type of thing. It's not like, oh, a number is either real or imaginary. Real numbers are complex numbers, just like trees are plants, although not every plant is a tree. The complex numbers is a broader number system here. And so if you count the multiplicities of the roots, you will always have N roots when you're working over the complex number system. Now our goal is most to be focusing on real polynomials. We could talk about polynomials with complex coefficients. We're not really going to be interested in that. We're interested in real polynomials. But the roots of real polynomials could be complex numbers. But what we do know is that if a real polynomial, its coefficients are real numbers, if non-real roots show up, they're always going to come up and conjugate pairs.  So once you find one complex root, you also get its conjugate. They always come as a package deal. So for example, suppose a polynomial f of degree five, whose coefficients are real, has roots one, five i, and one plus i. What are the two remaining roots? Well, so if we're building this polynomial f of x here, we don't have enough information to determine the leading coefficient. But since x is a root, since one is a root, excuse me, we get x minus one as a root. Because x minus, since five i is a root, you also get that, you're gonna get x minus five as a factor. But because five i is a root, that means its conjugate is also gonna be a root. The other conjugate is gonna be negative five i, which tells us that x plus five i is a root. And then if one plus i is a root, then that means x minus one plus i is a factor. But then the other root necessarily has to be its conjugate one minus i, which we're gonna get x minus one minus i as a root right here. And so this gives us the polynomial that is necessarily in play right here. And you might wonder, this is really a real value polynomial. Let's convince ourselves of that. If you take these conjugate pairs, foil them out. If you take x minus five i, and you times that by x plus five i, you'll notice when you foil, you're gonna get an x squared. You're gonna get a five i x minus five i x. And then you're gonna get a negative 25 i squared. Notice how this simplifies. You're gonna get five i x minus five x, they cancel each other. And remember that i squared is equal to negative one. So this turns out to be x squared plus 25. All right. And so that's pretty nifty right there. If you were to write f of x again, you're gonna get some coefficient a, we don't know what it is yet, x minus a, x minus one. Then you're gonna get x squared plus 25. Oh, those are real coefficients. What about the other part? What about the x minus one plus i and the x minus one minus i? We're gonna see the same thing happens if we foil those things out too. If we take x minus one plus i, and we take x minus one minus i, notice we are subtracting the roots. But we're only switching the signs here on the imaginary parts. If we multiply these things out, we're gonna get an x squared. We're going to get a minus one minus ix.   And so how do things combine this time? So you'll notice there's a negative ix and a positive ix, we're subtracting them. Those things are gonna cancel out, but the real part doesn't cancel out. You end up with an x squared.  They actually combine to give you a negative two x. And what about these right here? If you multiply a complex number by its conjugate, you're always gonna get a sum of squares. This thing is gonna turn out to be one squared plus one squared, which is just a two. So that thing foils out to just to be x squared minus two x plus two. And so if we put that above here, x squared minus two x plus two, you'll now notice that this polynomial, it's not all the way multiplied out yet, but now it's a product of three real value, real value polynomials. If I were to continue with it, then we can see this is gonna be a real value polynomial.  As another example, suppose we wanna find a polynomial of degree four whose coefficients are again real, and we want the roots to be one, one, and negative four plus i. So there's a repeated root. So what can we say about our polynomial? We don't have enough information for its leading coefficient, so we'll just say it's a for the moment. And because one is a repeated root, we're gonna get x minus one squared. We're gonna get x minus a negative four plus i. But then the other root has to be the conjugate, which is negative four minus i. So then the other one's gonna be x minus negative four minus i. And so we can foil it out to see what it is. If you don't wanna foil it out, I wanna mention another trick. If x equals negative four plus i, then let's do the following. This would mean that x plus four equals i. If we square both sides, well, you're gonna have to foil up the left-hand side.  This is equal to negative one. And therefore, if you add one to both sides, you get x squared plus 8x plus 17. 17 equals zero. So if negative four plus i is a root, the smallest polynomial that has that as a root is this quadratic right here. That's gonna be the product of these two things right here. That kind of gives an alternative if you didn't wanna foil out all of this stuff right here. You can kind of avoid the arithmetic with complex numbers. And so our polynomial looks like a times x minus one squared times x squared plus 8x plus 17, which we could foil that, I think, out a little bit farther if we wanted to. I don't really care to do that right now.  And if you foil this by that, you end up with the following. Again, I'm just gonna put out the details. I'm not gonna do all of them, though. This would simplify to be x to the fourth plus 6x cubed plus 2x squared minus 26x plus 17. I'm just looking off my cheat sheet right now. I didn't do all of my head. But you can multiply that out and get that. But the point is at this stage, you could see that the coefficients were real.  So real polynomials will always come in these conjugate pairs. That's an important observation to make here.


Was there a moral justification of the creation of Jewish state or is the concept fundamentally moral? There was a moral justification, absolutely. Is there a justification to keep Israel as a Jewish state now given a widespread anti-Semitism? If so, how should it look like if not, will Jewish people be protected? So yes, I think there is a justification to keep a Jewish. As long as there is anti-Semitism in the world and as long as that anti-Semitism is endorsed by significant people around the world and as long as there is a real objective legitimate threat, then Israel I think should and could maintain itself as a state that is a refuge for those people. Now that undermines its ability to be an ideal place and it cannot be an ideal place as long as the world continues to have anti-Semitism.


This is stock number 10547. We are here at Summit Automotive in Fond du Lac, Wisconsin. You're new and used heavy-duty truck and Ram headquarters. Today we are checking out this extremely clean 2018 Ram 2500 Crew Cab 6.5 foot short box with the Ram box on it. This truck has a 6.7 liter Cummins diesel. It has been fully safe and inspected by our service shop as a fresh oil and filter change. All the fluids have been checked and topped off and this truck is 100% ready to go. We shoot all of our videos in 1080p 60 frames per second so if you have HD capabilities on your computer tablet or smartphone device turn them on right now because it's definitely the best way for you to check out the vehicle and ensure the quality and condition of the vehicle before seeing it in person. Lower rockers look really good. If you want to check out more photos in the upper right hand part of the screen as they link right to our website click that and check us out there. 20 inch painted alloy rims and it has terrain throw amp LT28560R20 tires with about half the tread left on them. You can see it has the Bilstein shocks part of that 4x4 off-road package. Brilliant black crystal pearl as the color. Projector lamp headlamps LED running lights factory fog lights the front bumper is in really nice condition I didn't see any major dense dings or scuffs on that has the front bumper parking sensors I didn't see any dents or dings on the hood, passenger side fender excellent shape as well and the passenger side rim no scuffs or scrapes on there. As you go down this side of the truck take note of how clean the body is how reflective and mirror like that paint is. We take these HD videos so if you are far away or even if you're close by and just cannot make the trip down but you're still interested in purchasing the vehicle you can see the vehicle hear the vehicle and have confidence in what you're looking at before you even get here so that when you do get here there's no surprises and you can make a smart buying decision from the comfort of your own home. That's why we offer the Summit Auto Fastpass option in the upper right hand part of your screen another link right to our website where you can apply for financing get pre-approved see a payment quote even appraise a trade all from the comfort of your own home. Frame and underbody very nice condition lower rockers all look great and the back frame looks good too back tires about as much tread as the front tires and the back rim here no scuffs or scrapes on that it does have the ram box which is pretty cool this actually locks when you lock the truck there's lights back here and then there's plugs underneath those pads there for drainage so you can basically use it at like a mini cooler there's one on each side as we come around to the back of the vehicle rear bumper very nice condition didn't see any denser dings and that does have the backup parking sensors and the tailgates in really nice condition as well you get the blacked out Ram logo and 4x4 logo part of that sport package has a gator soft tunnel cover on it it does have the spray and bed liner and you get the LED bed lighting back here as well beds in really nice condition and that's a really nice spray and bed liner tailgate shuts nice and solidly and as you go down this side of the truck just as clean as that passing aside no scuffs or scrapes on that back rim and down the rest of this side once again take note of how clean the body is didn't see any dense didn't see any dings very well taken care of and maintain truck this one has the fold-out tow mirrors so they fold out like so they are heated and they have LED directional signals in them they also power fold in which I'll show you how that works in just a second here so just press the button both sides will fold in now it's like showing both sides that you can know that they're working properly and that are they're gonna be good for you power windows power locks power mirrors the Laramie package gives you the black leather interior get the Laramie embossed back rest no scuffs or scrapes or rips or tears on the leather memory driver seat both these seats are heated both these seats are cooled and you do get drivers on lumbar we do have a set of factory all-weather floor mats in here auto headlamps and as we hop inside the truck here you can see that this one has 25,926 miles you get a digital speedometer outside temp and compass display as well and that's very clean instrument cluster has the heated leather wrap steering wheel cruise controls on the right Bluetooth and information center controls on the left and there are audio controls on the back of the steering wheel you get these six-speed automatic transmission with the optional tap shift this one has the 8.4 4C radio so you get AM FM and serious XM radio capabilities you can also do your climate controls here can also control your heated and cooled seat buttons here as well as your backup camera which you can just touch the backup camera and you don't even have to put it in reverse to check that out so pretty cool stuff there the cool thing about this radio is that you can do Android auto and Apple CarPlay capabilities so you can project your cell phone to the screen and then you can control your cell phone through the screen and if you have navigation on your phone such as ways or Google Maps so you can project it right to there and it's like you got navigation right on your screen and it's with the app that you most normally use and it's a really cool feature turned out four-wheel drive dual climate control factory brake control you got your heated and cooled seat buttons down here as well downhill assist control stability control tow haul factory exhaust brake and you can turn those front and rear parking sensors on or off has a 115 volt 150 watt plug-in passenger seat is in very nice condition as well no rips or tears on that this truck's never been smoked in smells very clean inside has a power sunroof map lights power sign rear window and your home link buttons for garage door security systems and lighting systems has an SOS and assist button the rear room here and you do get the Alpine premium sound system you got the little badge there letting you know that it has that we'll take a quick look at the back seats and then we'll check out under the hood back seats are just as clean as the front seats no rips or tears back here leather looks really good so that Alpine sound system gives you the speakers in the ceiling as well as a subwoofer underneath this seat you get that power slide rear window with the built-in rear defrost these seats fold up for extra storage it does have a load floor which goes down like that so if you got muddy boots or tools you put them on there you're not going to wreck your nice leather seats the other cool thing is if you got pets you can put both sides down they got a nice flat place to lay also if you're a hunter put your shotgun on that it's not going to wobble around on the hump underneath the floor mats here we have the in-floor storage bins we got two of those on each side with removable containers for easy cleaning you can put ice and drinks in there and then it's got like you have four mini coolers if you use the RAM box too but these back seats are heated they're your heated seat buttons you also get a 12 volt power point and that all weather floor mat back here you get the child safety locks on the back doors and just a really clean truck all the way around I would highly recommend it from a quality and condition standpoint I'd also like to personally thank you for checking out the video today and hopefully from this HD video been able to tell just how clean this truck is all the way around inside now under the hood we have a 6.7 liter Cummins diesel engine base very clean runs very smooth this truck has been fully safe and respected by our server shop as a fresh oil and filter change all the fluids have been checked and topped off truck is 100% ready to go see more pictures of this truck and one of our other 450 new and used cars trucks SUVs minivans Wranglers half tons three quarter tons one tons you name it we got it go to our website www.SummitAuto.com full pictures and descriptions of every single vehicle from two locations all at Summit Auto.com and if you'd like to check out more HD videos you can go to YouTube.com slash Summit Auto remember to like subscribe and share on this video and all the videos that you see there in fact in a second you will see a link to subscribe to our YouTube channel on your left it links more Ram 2500 truck videos like this one on your right if you've not been to our website on the bottom link to this vehicle on our website click those check us out and we really look forward to helping you out with this extremely clean 2018 Ram 2500 crew cab short box Ram box Laramie Sport with the 6.7 liter Cummins diesel thanks again