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fredd [130]
3 years ago
8

A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra

ph of this polynomial equals which of the following? Choose all that apply.

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Answer:

The maximum length (x) of the rectangular box

The minimum volume (y) of the rectangular box

The minimum height (8-x) of the rectangular box

Step-by-step explanation:

we have

y=3x(8-x)

This is the equation of a vertical parabola open downward

The vertex is a maximum

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The x-intercepts of the equation are

(0,0) and (8,0)

therefore

The greatest x-intercept is the point (8,0)

see the attached figure

Remember that x represent the length of the box

therefore

The greatest x-intercept of the graph of this polynomial equals to

The maximum length (x) of the rectangular box

The minimum volume (y) of the rectangular box

The minimum height (8-x) of the rectangular box

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