SOLUTION: Decreasing cube. Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by a whole number of centimeters. If the new volume is
y^3 – 13y^2 +
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-> SOLUTION: Decreasing cube. Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by a whole number of centimeters. If the new volume is
y^3 – 13y^2 +
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Question 146942: Decreasing cube. Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by a whole number of centimeters. If the new volume is
y^3 – 13y^2 + 54y – 72 cubic centimeters and the new width is y -6 centimeters, then what are the new length and height?
You can put this solution on YOUR website! Decreasing cube. Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by a whole number of centimeters. If the new volume is
y^3 – 13y^2 + 54y – 72 cubic centimeters and the new width is y-6 centimeters, then what are the new length and height?
:
divide the vol by (y-6) using synthetic division:
:
.....___________________
+6 |1 - 13 + 54 - 72
.............+6 - 42 + 72
......-----------------
........1 - 7 + 12 + 0
Giving us:
y^2 - 7y + 12
Factors to:
(y-4)(y-3) are the new length and height
