Find the product of the polynomials.(9y - 8)(81y2 + 72y + 64)

A. 729y3 + 576y2 - 512
B. 81y3 + 512 
C. 729y3 + 512 
D. 729y3 - 512 


Answer: D

Mathematics

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Suppose C(x) measures an economy's personal consumption expenditure and x the personal income, both in billions of dollars. Then,  measures the economy's savings corresponding to an income of x billion dollars. Then .


The quantity  is called the marginal propensity to save.

For the consumption function  find the marginal propensity to save. Round the answer to three decimal places, if necessary.

$__________ billion/billion dollars

Fill in the blank(s) with the appropriate word(s).

Mathematics

Factor out the GCF from the polynomial.14x4 - 4x3 + 10x2

A. 2x2(7x2 - 2x + 5) B. x2(14x2 - 4x + 10) C. 2x(7x3 - 2x2 + 5x) D. 2(7x4 - 2x3 + 5x2)

Mathematics

Which fraction appears in the partial fraction decomposition of   ? ?

A.
B.
C.
D.
E.

Mathematics

Solve the problem.2 - 4x ? 22 and 4x - 3 ? 9

A. [3, ?) B. (-?, -5] ? [3, ?) C. (-5, 3) D. [-5, 3]

Mathematics