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Yanka [14]
2 years ago
5

F(x) = -4x + 20 find f (5).

Mathematics
1 answer:
krek1111 [17]2 years ago
6 0
F(5) = -4(5)+20
= 0
_____________________
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The volume (in cubic inches) of a shipping box is modeled by V =2x³ -19x² +39x, where x is the length (in inches). Determine the
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Answer:

The values of x for which the model is 0 ≤ x ≤ 3

Step-by-step explanation:

The given function for the volume of the shipping box is given as follows;

V = 2·x³ - 19·x² + 39·x

The function will make sense when V ≥ 0, which is given as follows

When V = 0, x = 0

Which gives;

0 = 2·x³ - 19·x² + 39·x

0 = 2·x² - 19·x + 39

0 = x² - 9.5·x + 19.5

From an hint obtained by plotting the function, we have;

0 = (x - 3)·(x - 6.5)

We check for the local maximum as follows;

dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0

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x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2

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V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99

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When x = 5.045, we have;

V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023

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