Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c)q(x) + r.f(x) = x3 - x2 + 6; x + 2

A. (x + 2)(x2 - 3x + 6) + 2
B. (x + 2)(x2 - 3x + 6) - 6
C. (x + 2)(3x2 - 4x + 2) + 0
D. (x + 2)(x2 + x + 2) - 6


Answer: B

Mathematics

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Graph.y = 2x - 6

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Mathematics

Express the symbolic statement ~p in words.p: The Pilgrims did not land in Tahiti.

A. The Pilgrims landed on Plymouth Rock. B. The Pilgrims almost landed in Tahiti. C. The Pilgrims landed in Tahiti. D. It is not true that the Pilgrims landed in Tahiti.

Mathematics

Solve the problem.The following points form a quadratic relationship: (1, 5.0), (2, 4.4), (3, 4.3), (4, 4.2), (5, 4.6), (6, 4.8), (7, 5.4), (8, 6.2) . The x-coordinates are the years a particular company has been in operation and the y-coordinates are the profit, in millions, for that year. Find the quadratic function that models the profit in millions as a function of x, the number of years of operation. Round to three decimal places.

A. y = - 0.003x2  + 0.145x - 0.892 B. y = 0.101x2 - 0.723x + 5.552 C. y = 0.099x2  + 1.254x - 3.512 D. y = 0.203x2 - 0.945x + 7.098

Mathematics

Find f-1(x) for the following one-to-one function f.f = {(-3, -3), (-2, -2), (-1, -1), (0, 0)}

A. f-1 = {(-3, -3), (-2, -2), (-1, -1), (0, 0)} B. f-1 = {(-3, 3), (-2, 2), (-1, 1), (0, 0)} C. f-1 = {(3, 3), (2, 2), (1, 1), (0, 0)} D. f-1 = {(3, -3), (2, -2), (1, -1), (0, 0)}

Mathematics