Factor by grouping.6m3 + 24m2 - 3m - 12
A. 3(2m2 + 1)(m - 4)
B. (2m2 - 1)(3m + 4)
C. 3(2m - 1)(m2 + 4)
D. 3(2m2 - 1)(m + 4)
Answer: D
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A couple is planning to have four children. Suppose that for this couple the probability of a boy is 46% and the probability of a girl is 54%. (Assume the gender of each child is independent from that of the other children.)What is the probability that they will have one girl and three boys?
A.
B. 0.463 × 0.54
C. 0.54 + 0.46 + 0.46 + 0.46
D. 4 × 0.463 × 0.54
E. none of these
Use the given property of multiplication to rewrite each statement. Associative property: (3 ? 7) ? 10 = _____
A. (7 ? 3) ? 10 B. 7 ? (3 ? 10) C. 3 ? (7 ? 10) D. (10 ? 7) ? 3
Find the approximate equation of the line that passes through the two points. Write the equation in slope-intercept form. Round the slope and the constant term to two decimal places.(2.8, 5.7) and (4.6, 3.1)
A. y = 1.44x + 1.66 B. y = 2.04x + 0.67 C. y = -0.69x + 7.64 D. y = -1.44x + 9.74
Solve the problem.Suppose, for a certain drug, the following results were obtained: Immediately after the drug was administered, the concentration was 7 milligrams per milliliter. Eleven hours later, the concentration had dropped to 2.8 milligrams per milliliter. The concentration decays exponentially according to the law Determine the value of k for this drug.
A. k = -0.0134 B. k = 0.0833 C. k = -1.6180 D. k = -0.0833