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Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.

Suppose You Know That The Volume Of The Following Prism Is Represent By Vx 2x3 14x2 120x class=

Sagot :

ChoiSungHyun

Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

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