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9 March, 21:35

The volume of a packing box is 5 - x cubic feet. The width of the box is x feet and the length is x - 2 feet. The height is given by the expression Which of these values of x make the expression undefined?

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  1. 9 March, 21:46
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    By definition we have that the volume is given by

    V = h * w * l

    where

    V: Volume

    h: height

    w: width

    l: length

    Clearing the height we have:

    h = V / (w * l)

    h = (5 - x) / ((x) * (x - 2))

    The expression is not defined for the values of x that make the denominator zero:

    ((x) * (x - 2)) = 0

    x = 0

    x = 2

    Answer

    h = (5 - x) / ((x) * (x - 2))

    x = 0

    x = 2
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