For the function f, construct and simplify the difference quotient  .f(x) = 9 - 8x3

A. -8(3x2 + 3xh + h2)
B. -8(3x2 - 3x - h)
C. -27x2
D. -8(x2 - xh - h2)


Answer: A

Mathematics

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A levy protects a town in a low-lying area from flooding. According to geologists, the banks of the levy are eroding at a rate of 7 feet per year. If something isn't done to correct the problem, what signed number indicates how much of the levy will erode during the next decade?__________ ft

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

Mathematics

Evaluate the expression.

A. 100,000 B. 40 C. 10,000 D. 1000

Mathematics

First, rewrite each equation in exponential form. Then, use a table of coordinates and the exponential form to graph the logarithmic function. Begin by selecting -2, -1, 0, 1 and 2 for y. Finally, based on your graph, describe the shape of a scatter plot that can be modeled by f(x) = log b x, 0 < b < 1.y = log1/7  x

A.

increasing
B.

decreasing, 
although rate of decrease is slowing down
C.

increasing, 
although rate of increase is slowing down
D.

decreasing, 
although rate of decrease is slowing down

Mathematics

Find the compound interest earned by the deposit. Round to the nearest cent.$7870 at 11% compounded semiannually for 12 years

A. $20,576.82 B. $10,388.40 C. $19,662.81 D. $7092.50

Mathematics