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frutty [35]
3 years ago
15

Suppose y= 2x - 2.5. Find x if y =10

Mathematics
2 answers:
Marat540 [252]3 years ago
8 0

Plug 10 in for y.

10=2x-2.5

Add 2.5 to both sides.

12.5=2x

Divide both sides by 2.

6.25=x

Hope this helps! :)

ser-zykov [4K]3 years ago
6 0

Your answer would be 6.25.

When finding the answer to this equation, you will insert 10 where 'y'' is in the equation. 10= 2x - 2.5. Then you want to have x alone on one side, so you need to add 2.5 to 10. 12.5= 2x. Once you did this, divide 12.5 by 2 and you have your answer. 12.5/2= 6.25

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Substituting for y into the equation for the length of fencing needed, we have

P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}

For the amount of fencing to be minimum, then

\frac{dP}{dx} =0 \\  \\ \Rightarrow1- \frac{576}{x^2} =0 \\  \\ \Rightarrow \frac{576}{x^2} =1 \\  \\ \Rightarrow x^2=576 \\  \\ \Rightarrow x=\sqrt{576}=24

Now, recall that

y= \frac{288}{x} = \frac{288}{24} =12

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.
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