.An x by x square is cut from each corne of a rectangular sheet of cardboard tha is 8 inches wide and 11 inches long. Th sides are then folded up to form a box. Therefore, the volume function for the box is V(x)= x(8-2x)(11-2x). Use th graph of this function to find the value c x that maximizes the volume of the box to the nearest tenth.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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An x by x square is cut from each corner
of a rectangular sheet of cardboard that
is 8 inches wide and 11 inches long. The
sides are then folded up to form a box.
Therefore, the volume function for the
box is V(x) = x(8-2x)(11-2x). Use the
graph of this function to find the value of
x that maximizes the volume of the box,
to the nearest tenth.
Transcribed Image Text:An x by x square is cut from each corner of a rectangular sheet of cardboard that is 8 inches wide and 11 inches long. The sides are then folded up to form a box. Therefore, the volume function for the box is V(x) = x(8-2x)(11-2x). Use the graph of this function to find the value of x that maximizes the volume of the box, to the nearest tenth.
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