Calculate the derivative of the function.
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Mathematics

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Solve the problem.The following data represents the number of employees at a company at the start of each year since the company began. Using the line of best fit for the data set, predict the number of employees at the start of the 10th year.

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

Mathematics

Solve by graphing. Label the axes and show where the solution is located on the graph.The cost of a car rental is $12 plus $0.25 for each mile the car is driven. The cost, c, in dollars of the rental is given by the linear equation c = 12 + 0.25m, where m is the number of miles driven. (a) Find the missing coordinate for the ordered pair  which corresponds to driving 34 miles. (b) In addition to the ordered pair from part (a), find at least two more ordered pairs and use these to graph the equation.

A. (a) (34, 17)
(b)

B. (a) (34, 37)
(b)

C. (a) (34, 26)
(b)

D. (a) (34, 21)
(b)

Mathematics

Determine the values of x for which f(x) and g(x) are inverse functions.f(x) = (x - 8)2, g(x) =  + 8

A. x ? 8 B. x ? 0 C. x ? 8 D. x ? 0

Mathematics

Simplify by combining like terms.6x + 2x - 2x + x + 10x

A. 18 B. 16x C. -18 D. 17x

Mathematics