A piecewise function is given. Use the properties of limits to find the indicated limits, or state that the limit does not exist.f(x) = a. f(x)b. f(x)c. 

style="vertical-align: -21.0px;" />f(x)

A. a. 5
b. 5
c. 4
B. a. 5
b. 5
c. 5
C. a. 4
b. 6
c. does not exist
D. a. 5
b. 4
c. does not exist

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Answer: B

Mathematics

Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on the interval [0, b].y = 27x2

A. 54b B. 9b3 C. -9b3 D. -54b

Solve the problem.Three coins are tossed 10 times to simulate the outcomes of the sexes of the children in a three-child family. If H simulates a boy and T a girl, use these results to determine the probability that the family has at least two boys.?

A.
B.
C.
D.

The given graph represents a translation of the graph of y = x2. Write the equation of the graph.

A. y = x2 - 4 B. y = (x - 4)2 + 1 C. y = (x - 4)2 D. y = (x + 4)2

Find the grade point average for a student earning the following grades. Assume A = 4, B = 3, C = 2, D = 1, and F = 0. Round answer to the nearest tenth.

A. 2.1 B. 3.1 C. 4.1 D. 9.8