5. A rectangular container can have a volume represented by an expression 7x°- 49x² + 84x and the
height is represented by the expression 7x. What are the binomials that will represent the width and the
length?
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5. A rectangular container can have a volume represented by an expression 7x°- 49x² + 84x and the
height is represented by the expression 7x. What are the binomials that will represent the width and the
length?
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Step-by-step explanation:
GIVEN:
V = 7x³ - 49x² + 84x
h = 7x
REQUIRED:
length x width = lw
SOLUTION:
V = lwh
7x³ - 49x² + 84x = lw (7x)
(divide both side by 1/7x)
lw = 7x³ - 49x² + 84 / 7x
(factor out the given volume by for simplication)
lw = 7x (x² - 7x + 12) / 7x
(cancel out the same value)
lw = x² - 7x + 12
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