Use the remainder theorem to find P(k).k = 4; P(x) = x3 + 2x2 + 3x - 4

A. 104
B. 112
C. -20
D. -24


Answer: A

Mathematics

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Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.

A.
B.
C.
D. 3

Mathematics

Solve using a system of three linear equations.A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A tree takes 17 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 13 hours to paint, and 7 hours to fire. If the workshop has 115 hours for prep time, 66 hours for painting, and 89 hours for firing, How many of each can be made?

A. 5 wreaths, 3 trees, 6 sleighs B. 7 wreaths, 6 trees, 4 sleighs C. 6 wreaths, 5 trees, 3 sleighs D. 3 wreaths, 6 trees, 5 sleighs

Mathematics

Find . Write your answer in standard polar form with the argument in radians.z1 = , z2 = 

A.
B.
C.
D.

Mathematics

Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. x - 2y + 3z = 114x + y - z = 42x - y + 3z = 10

A. (2, -3, 1) B. (-2, -3, 3) C. (2, 3, 5) D. No solution

Mathematics