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a_sh-v [17]
3 years ago
12

Use the model to solve for x.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0
Answer:No solution
Explanation: There is no solution because x was eliminated in the last step of solving for x. Since we were left with x not being available to equal three, it shows it’s a no solution problem. Hope this helped!

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10 POINTS PLEASE HELP!
Cerrena [4.2K]

When the surrounding flaps are folded up, the base of the box will have dimensions 11-2x by 16-2x, and the box will have a height of x. So the box has volume, as a function of x,

V(x)=(11-2x)(16-2x)x=176x-54x^2+4x^3

I don't know what technology is available to you, but we can determine an exact value for x that maximizes the volume by using calculus.

Differentiating V with respect to x gives

\dfrac{\mathrm dV}{\mathrm dx}=176-108x+12x^2

and setting this equal to 0 gives two critical points at

x=\dfrac{27\pm\sqrt{201}}6\implies x\approx2.1\text{ or }x\approx6.9

For the larger critical point we would get a negative volume, so we ignore that one. Then the largest volume would be about 168.5 cubic in.

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Answer:

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3 years ago
HELP PLZ ILL MARK YOU BRAINILIEST
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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