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Question10ptsWMhat is the ccrrelation between Xand v?0 101.0-0.5...

Question

Question10ptsWMhat is the ccrrelation between Xand v?0 101.0-0.5

Question 10pts WMhat is the ccrrelation between Xand v? 0 10 1.0 -0.5



Answers

$$ \frac{v-10}{v^{2}-5 v+4}=\frac{3}{v-1}-\frac{6}{v-4} $$

The Squared plus 12 e plus 20 equals V plus 10 times V plus blank. All right, so basically what we need to look at, the easiest way to do this is to figure out 10 times what equals 20. Well, that's gonna be too. And in the double check it. We know that 10 plus two is 12. So off. When you multiply these two things, you'll get this value, see, And when you add them, you'll get this value be

In this problem we're being asked to multiply the binomial 10 Z -5 by the china meal. 1/5 V squared minus three V plus one. So to do this we're going to use to distributive property first we'll distribute attendee to each term in the china mobile. Well 10 V times 1 50 squared is equal to two V. To the third. 10 V times negative three V is negative 30 V squared And then we have 10 V times one, which is just positive 10. Now we have to distribute the -5. Well negative five times one. Fifth V squared is negative one V squared or simply just negative V squared negative five times negative three V is positive 15 V And lastly -5 times one is -5. Perfect. So now all we need to do is combine like terms. Well the first term doesn't have a light term. So we simply just bring that down next. We'll combine the v square terms will negative 30 V squared minus V squared is negative 31 V squared. Now we'll combine the V terms 10 V plus 15 V is equal to positive 25 G. And then our last term doesn't have a light term. So we simply bring that down. And now that we combine like terms, we can't simplify any fervor. So now we have our final simplified answer.

In this question, the question we house that we multiplied by the plus five. My instant is equal zero. And we're supposed to solve this. Find solutions with the help of quadratic formula. So the quadratic formula quality is defined for a general quadratic equation of the form X squared plus V x plus five equal to zero. In this case the solution for this equation is X is equal to minus B plus or minus fruit off the square minus for a C. Divided by uh right there is minus B plus or minus B squared minus four is the right way to ever a B M C. Other virus taken from the general contact questions. Sorry. Yeah that's not five. It is C. Okay. So but here what we have here is that we don't have the question in this form. In order to do that we just have to like solid bracket. So one freedom that will get be multiplied by Visa. We square plus five weeks minus penn 00 Now these two are of similar form. The only thing is that we just have to write order the values to substitute to the general question. That is A. B and C. So for A we have that is equally crescendo X squared. Or they squired, that is the square here. In this case that is one for B it is five and for C it is my instant substituting all this into this equation will get X is equal to minus and be like this minus white plus or minus sort of the squares. 25 spice square minus four multiplied by S one multiplied by ses minus 10. All divided by 2 8. Just two multiplied by one. That will give us -5 plus or minus Rudolph 25 -25 formulary oneness for so 400 led by minus minus minus 40. 25 minus minus 40 divided by two. To give you when you adequate minus five plus or minus, wrote off 25 minus minus 40. That is 25 plus 40. Right? That will give you 65 divided by two. Mhm Right. Another thing is when you have a route that is out of 65 or something else, If it's possible for you to reduce the road into something else. For example, if you have 12 you can write it as two or three by splitting it into four multiple industry and taking the car out of four. It's better to do that. But here in the 30s of 65 we don't have we can't we can't do anything assets. So that means it will be minus fight Personal -65 x two itself. So that means the solutions that we have our x is equal to -5 -165 by two and X is equal to minus five minus route 65 30 plus minus five plus or 65 by Dumoulin minus five minus or 65 by two. So 1 2nd through the steps. Yeah, the question is given. It's not the question given. It's not in the standard form so that we can directly use it and be quadratic equation. The quadratic formula. So we just have to open the bracket and then it is in the general form. And then what we did is that we just to go the Corporations and Constance and is a substitute of that in the quadratic formula. And then we sold it and founded that we have to struggle solutions minus five plus 65 a two and minus five minus 65. To hope it scared.

We're being asked the fact of the given expression by grouping. So what we're gonna do first is Blizter problem in how? And we're gonna look for the greatest common factor between the 1st 2 terms UV and five you, which is going to be you. So now when we divide both turns by, you were gonna be left with the plus five. Now we're gonna goto our last two terms 10 v post 50 and find their greatest common factor, which is positive. Then we're gonna divide both terms by 10 which is going to leave us with the plus five. She'll know this that thes two terms now have this common factor of the plus five. So that will be our first factor for you plus five. And our second factor will be the two outside terms you plus 10. And now, with factored our original expression. So our final answer is V plus five times you plus 10


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