Find the area of the region under the graph of f on [a, b].

f (x) = ? 2x + 4; [?1, 2]



a. 3

b. –12

c. 12

d. –3


c. 12

Mathematics

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Find the indicated probability. Round your answer to 6 decimal places when necessary.Two cards are selected without replacement from a standard deck of 52 cards. What is the probability that both cards are the same color (i.e.either both black or both red)?

A. 0.490 B. 0.250 C. 0.500 D. 0.245

Mathematics

Factor the polynomial completely.81p4 - 126p3 + 49p2

A. p2(9p + 7)2 B. p2(81p + 1)(p + 49) C. p2(9p - 7)2 D. p2(9p - 7)(9p + 7)

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Provide an appropriate response.Divide the radicals and simplify:  

A. 12
B. 7
C. 5
D. 14

Mathematics

Solve the problem.The area of a rectangle is 20m2 - 10m - 30. Find the length if the width is 4m - 6.

A. 5m - 5 B. 20m + 5 C. 20m - 5 D. 5m + 5

Mathematics