2 years ago

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

Mathematics

1 answer:

erastova [34]2 years ago

8 0

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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Nataly [62]

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