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Find the constant of variation for the quadratic variation.
6y = 9x^2
A.4/9
B.2/3
C.3/2
D.-2
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Parth (parthkohli):
Bring this equation to the form y = cx^2. The c you get is the constant of variation. In other words, get the y alone on the left side. Then look at the coefficient of x^2.
OpenStudy (anonymous):
Wait help how do I do that? @ParthKohli
Parth (parthkohli):
Divide both sides by 6.
OpenStudy (anonymous):
ok but then I get y=9x2/6
OpenStudy (anonymous):
I meant y=9x^2
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Parth (parthkohli):
The first one is right
OpenStudy (anonymous):
divided by 6
OpenStudy (anonymous):
But in the equation its supposed to be x^2
Parth (parthkohli):
Yes. So what is the coefficient of x^2 in 9x^2/6
OpenStudy (anonymous):
Aww I'm so confused!!!
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OpenStudy (anonymous):
do I just plug in the answers?
Parth (parthkohli):
It's supposed to be x^2 multiplied by some number which we will call c for now.
OpenStudy (anonymous):
Ok but whta is that number?
Parth (parthkohli):
That is what we shall figure out!
OpenStudy (anonymous):
ok now how do I do that?
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Parth (parthkohli):
So we get 9x^2/6, right?
OpenStudy (anonymous):
yes
Parth (parthkohli):
That is the same thing as 9/6 * x^2
Parth (parthkohli):
So what number is being multiplied to x^2?
OpenStudy (anonymous):
so 1.5 times x^2?
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Parth (parthkohli):
Right, and so 1.5 is your constant of variation
OpenStudy (anonymous):
Thats my answer?
Parth (parthkohli):
Yes
OpenStudy (anonymous):
so it should be 3/2? C.?
Parth (parthkohli):
Yes, correct
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