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Kendall Hunt Publishing1 88L #w 1 182 {...

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Kendall Hunt Publishing1 88L #w 1 182 {

Kendall Hunt Publishing 1 8 8 L #w 1 1 8 2 {



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$$\frac{2}{3} k-k+\frac{3}{8}=\frac{1}{2}$$

Notice Fine whether it is concerned, not so. Drop battle lane the y axis any object it got at once. So any land pedal to the Y axis if cutting graph points. So it is not difference and because for every below X we're getting to a low upward and downward. So port every. Have a look off X. There are toe value off Funston. Therefore, it is not fun. It isn't our defenses. And if you talk about Domine soared amendments all the way. Low Xer call the doorman sort of a woman. It's from minus four before. If you object all the way low. OPEC's carriageway often is from minus four to port on the range. Rains are often develop, which is from minus three to today, so this is stomach and range.

The problem we want to find the value of N choose and minus one. Not evaluated combination. It's important remember that in choose our is equal to in fact Toral over our factory. All in minus r fact or. And so making use of that here in choosing my swan is equal in fact to roll over In -1 factorial one. Factory. In fact corals in times N -1 all the way down, two times three times two times one. In -1. Factorial is in -1 and mine is too On down to three times 2 times one and then one factory is just one. And so we don't need it Now we have an N -1 on top and bottom. And so all of those will cancel just leaving us within. And so that means in choose and -1. It's just yeah.

Hello, everyone. Now we're solving up the problem which is asking us to solve for the following equation which is to over three Okay, minus gay less three over eight being equal to half. So I have two things with a K here next to each other. I need to isolate for this case. So what I want to do is to bring everything with a K on one side and everything with a constant on the other side. So those two that's over three. You with the K minus K. But putting them together will be a minus one over three K. We just added them to each other. This we still have the plus three over eight is equal to have. I want to isolate for this K to be on this side, so I need to remove that you over it from next to it. So what I will do is I will have to subtract this plea over eight from both sides. So I just do a minus. You ever ate here and this is equal to have and again I have to subtract the minus two over eight on this side because I did it on the other side. So this will be left with minus one over three Key. The three over eight will concert with the negative three over eights and on the other side, half minus three over eight. This is one over eight. So now I have this negative one over three Constant. Next to this K, I need to remove it because I need the case will be on its own. So what I'll do is negative one over three. Okay, I will multiply it by three. And on the other side. Because I multiplied one side by three. I have to multiply the other side as well with a three. So this will bring me two minus K equal to three over eight. I have the key with the minus sign here, so I need to remove this minus time from here. So what I'll do is I will multiply by minus one on both sides, so I'll have the minus K multiplied by minus one. This will be equal to the over eight multiplied by minus one. So finally, this will lead us to minus K multiplied by minus one. This is just a positive K will be equal to minus three over eight. So this is your final answer. Thank you.

You know this problem we want to find the value of N, choose one. Now in general in choose our is able to in fact Toral over our factory and minus our factory. I'm making use of that here to find and choose one, then this is equal to in fact Toral over one factory in minus one factory Now one factorial is just one. In fact total means in times in -1 Times in -2. All the way down, two times three times two times one. I said one factory was just once we don't need it And then in -1 factorial is in -1 and minus two all the way down three times 2 times one. Now notice here that we have an N -1. On down, both on top and on bottom and so those the law cancelled. So the only thing we left here is in its our answer, it's just yeah.


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