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Find y" . (20 marks) y =-2x' Y =20Y = 6x' ~2x" + 6x2 _ 5 y =-13x2 3x-18...

Question

Find y" . (20 marks) y =-2x' Y =20Y = 6x' ~2x" + 6x2 _ 5 y =-13x2 3x-18

Find y" . (20 marks) y =-2x' Y =20 Y = 6x' ~2x" + 6x2 _ 5 y =-13x2 3x-18



Answers

Simplify and solve for $y .$ $$ y-2=5(x+6) $$

We need to. Seoul decoration 20 minus four way is equal toe 10 minus six. Why now? By rearranging the terms off why and constant terms we have minus four way plus six way is equal toe 10 minus 20. It becomes two way is equal toe minus 10. So the value of y is equal toe minus 10 divided by two. So the value of way is equal toe minus five is the solution off the given EC commission.

This problem. We are dividing with variables and coefficients and variables with coefficients and experts. And so what we have is that we can use these two rules rule one and two. And so the first rule is that if we have, if we have terms that are at it or subtracted in the numerator divided by some values e, we can split up the term. So we have we have X over C plus or minus. Why oversee? And so let's do that. Let's let's split up our problem to make it easier. So we have we have 20. Why? Where over five. Why? And then that will be plus plus this 10. Why divided by five Why? And so now what we have is that if we put in equal sign right here, this 20 divided by five is or and so now we are we are dividing cowfish. We're dividing variables with different experts. So we have this y squared, divided by why and so remember that Remember rule number two that if we are dividing variable so we have X to the knife. Er sorry. Axed a d A. This is May three right that to make it a little bit easier. This is a so if you have X to the a divided by extra to be we're left with X to the A minus bi And so what we have is that we have y squared over. Why? So there's two minus one gives us A and exponents for our variable. That should be that should be one. So for wired to the one. And we don't include this one because every time we have a very well, there's an automatic assumed assumed exponents. So this for y just equals or watch. And so now we move on to the next term. So we have 10 divided by five just to and so we have this. Why, over why? So this wide to the one. And it's why to the one this watch of the war. Well, we have one minus one. So we have why to the zero. And so remember that when we have any variable or number that is raised to the zero power to the zeroth power, we just get one. So this is equivalent to saying two times one. But if it's equal to two times one, we can just say, Well, it's just it's just too. And so this is our simplified answer. We've used Rule One and rule to the rule one. How does rule One helped us split thes two terms split this this problem apart So it becomes a little bit easier to solve. And then Rule Two shows us how we should. We should divide our variables with experts. And so what we're left with is our final answer. That looks much simpler for why, plus two.

Here we are having a whole number divided by a proper fraction. We want to write the whole number in terms of a fraction, so it'll be 20/1. Now that we have this, we're going to make it into a multiplication problem. So it'll be 20/1 times the reciprocal of 56 So 6/5. We're going to write out the, um, prime factor ization of this. So we'll have two times two times five times, two times three and that all be over five. So five will cancel and that leave us with six times for so that is equal to 24.

Hope you're doing well. So we've got our system of equations here that we're going to solve using the addition. So you do that we need to eliminate one of our variables we're going to try to eliminate or variable X. So to do that, we're gonna multiply this first equation both sides of the equation by minus two. They were gonna multiply those sides of her second equation here by five. So starting with our first equation in distributing this minus two got minus two times five X is minus 10 x. We've got minus two U turns 15. Why is minus 30? Why, that's equal to minus two times 20 which is ableto minus 40. Moving on to our second equation in distributing this five got five times two x, which is 10 X Then we've got 5 10 6 Why? Which is plus 30? Why, that's equal to five times 12 which is equal to six. It's now when we add these two equations together right here, we've got minus two next, plus two. Next, and these Just cancel out and go +20 This we've eliminated or variable X like we had playing original, but over here. We've got minus 30 Y plus 30. Why? Which also cancels out ghosts. Is your sister only left with zero on this side of the equation and we've eliminated both are X and Y variables. Then on the right, inside of the equation, we've got minus 40 plus 60 which is equal to 20. We're just slept with zero is equal to 20. This is never going to be true. No matter what values you plug in for X and y, this is never, never going to be true. So because of that, that means that there is no solution to the system of equations. So that means that there's no combination of X and y values. No ex wife ordered pair that you could plug into both of these equations and both of them would be true. That's not that won't happen with this system of equations. That means that there's no solution to this system of equations. All right, well, thanks. And I hope that helps


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