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A model of carry-on luggage has a length that is 5 inches greater than its depth. Airline regulations require that the sum of the length, width, and depth cannot exceed 57 inches. These conditions, with the
assumption that this sum is 57 inches, can be modeled by the function V(x) that gives the luggage's volume, in cubic inches, in terms of its depth, x, in inches. If its volume is 1500 cubic inches, determine
two possibilities for its depth.
Volume depth length width: 57-(depth+length)
V(x) = X • (x+5).
[57-(x+x+5)]
V(x) = x(x+5)(52-2x)

Sagot :

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