Solve the problem.Find f(k - 1) when f(x) = 4x2 - 4x + 6.

A. 4k2 - 12k + 6
B. 4k2 - 12k + 14
C. -12k2 + 4k + 14
D. 4k2 + 20k + 6


Answer: B

Mathematics

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Solve the problem.Behemoth Back Packs, Inc. finds that the cost to make x back packs is while the revenue produced from them is (C and R are in dollars). What is the smallest whole number of back packs, x, that must be sold for the company to show a profit?

A. 405,592 B. 77,096 C. 28 D. 146

Mathematics

Sketch the graph and show all local extrema and inflection points.f(x) = x + sin x, 0 ? x ? 2?

A. Local minimum: (0, 0)
Local maximum: (2?, 2?)
Inflection point: (?, ?)


B. Local minimum: (0, 0)
Local maximum: (2?, 2?)
Inflection point: (?, ?)


C. Local minimum: (0, 0)
Local maximum: (2?, 2?)
No inflection points


D. Local minimum: (0, 0)
Local maximum: (2?, 2?)
No inflection points


Mathematics

The consumption function of the U.S. economy from 1929 to 1941 is , where C(x) is the personal consumption expenditure and is the personal income, both measured in billions of dollars. Find the rate of change of consumption with respect to income,

class="wirisformula" data-wiris-created="true" src="https://sciemce.com/media/3/ppg__cognero__3.4_Marginal_Functions_in_Economics__media__64938824-1169-48a9-93ae-824e96253055.PNG" style="vertical-align: middle;" />. This quantity is called the marginal propensity to consume. ?  Round the answer to three decimal places, if necessary. ?  __________ Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the axis of symmetry of the function.f(x) = 9x - x2

A. x = - 
B. x = - 
C. x = - 
D. x = 

Mathematics