Solve the problem.The product of two consecutive integers is 6 less than 6 times their sum. Find the integers.

A. 0, 1
B. 11, 12
C. 0, 1 or 12, 13
D. 0, 1 or 11, 12


Answer: D

Mathematics

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Evaluate. The differential is exact.

A.  + ln 3
B.  + ln 3
C. 0
D.  + ln 3

Mathematics

State the domain of the composition.(f?g)(x) with f(x) = 3x + 2 and g(x) = 8x - 4

A. Domain = [0, ?) B. Domain = (-?, 0) C. Domain = (0, ?) D. Domain = (-?, ?)

Mathematics

Solve the problem.A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The event described by E: "both dice come up with the same parity" (i.e., both numbers rolled are even or both numbers rolled are odd) is

A. {(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)}.
B. {(1, 3), (1, 5), (2, 4), (2, 6), (3, 1), (3, 5), (4, 2), (4, 6), (5, 1), (5, 3), (6, 2), (6, 4)}.
C. {(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2),  (6, 6)}.
D. {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}.
E. none of these

Mathematics

Find the nonforfeiture values of the policy. The policies were issued at age 25.Years in force: 30Type of policy: 20-pay lifeFace value: $18,000Nonforfeiture option: Cash value

A. $18,000 B. $9414 C. $8838 D. $12,564

Mathematics