Factor completely, or state that the polynomial is prime.18x3 - 33x2 + 9x
A. 3(3x2 - 1)(2x - 3)
B. x(3x - 1)(6x - 9)
C. 3x(3x - 1)(2x - 3)
D. x(9x - 3)(2x - 3)
Answer: C
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Rationalize the denominator.
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Solve the problem.Three islands have a total area of 5180 mi2. Island A is 3247 mi2 larger than island B, and island B is 167 mi2 larger than island C. What is the area of each island?
A. A: 3947 mi2; B: 867 mi2; C: 533 mi2 B. A: 4114 mi2; B: 867 mi2; C: 523 mi2 C. A: 4114 mi2; B: 700 mi2; C: 523 mi2 D. A: 3947 mi2; B: 700 mi2; C: 533 mi2
Evaluate the definite integral by using the method of integration by parts.
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A test consists of twelve true-false questions (of which each question has exactly one correct answer). A student guesses at all twelve questions. What is the probability that he gets exactly five of these guessed questions correct?
What will be an ideal response?