Rationalize the denominator. Write the quotient in lowest terms.
A.
B.
C.
D. 1
Answer: B
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Solve the quadratic inequality. Write the solution set in interval notation.x2 - 4x - 12 < 0
A. (-?, -2) ? (6, ?) B. (-2, 6) C. (6, ?) D. (-?, -2)
Factor completely, or state that the trinomial is prime.x2 + 18xy + 81y2
A. (x + 9y)(x - 9y) B. (x - 9y)2 C. (x + 9y)2 D. Prime
Express the sum using summation notation. Use a lower limit of summation not necessarily 1 and k for the index of summation.a + ar + ar2 + . . . + ar14
A.
B.
C.
D.
Solve the problem.A weight suspended from a spring is vibrating vertically with up being the positive direction. The function f(t) = 10 sin represents the distance in centimeters of the weight from its rest position as a function of time t, where t is measured in seconds. Find the smallest positive value of t for which the displacement of the weight above its rest position is 5 cm. Round answer to three decimal places, if necessary.
A. 1.586 B. 0.222 C. 2.293 D. 0.556