Factor the trinomial completely.-x2 + 5x + 24
A. -(x - 8)(x - 3)
B. -(x + 8)(x - 3)
C. -(x - 8)(x + 3)
D. -(x + 8)(x + 3)
Answer: C
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Use Cramer's rule to solve the system.3x = -6y - 33x = -y - 13
A. {(2, -5)} B. {(-2, -5)} C. {(-5, -2)} D. {(-5, 2)}
Compute.-11 - (-9)
A. 2 B. 20 C. -20 D. -2
Provide an appropriate response.A student is solving the equation s2 = 62 and has determined that s = 6. He or she has looked up the answer in the back of the book and finds that s = -6 is also a solution. The student feels that this is a misprint. How would you advise him or her?
What will be an ideal response?
An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die. We may represent each outcome of the experiment by an ordered pair of numbers, the first representing the number that appears uppermost on the first die and the second representing the number that appears uppermost on the second die. Consider the sample space
S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)} Determine the event that the number that falls uppermost on the second die is double that of the number that falls on the first die. Express your answer using set notation.