If f(x) = 3x - 2 and g(x) = 3+2x², find fg and (g?f)(x).


Mathematics

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Translate the problem to a system of equations, then solve using Cramer's Rule.Jerry has 3 pieces of string. The total length is 82 inches. The sum of the two longer pieces is 70. The middle piece is twice as long as the shortest piece. What are the lengths of the 3 pieces?

A. 6, 12, and 64 inches B. 12, 24, and 46 inches C. 12, 46, and 56 inches D. No solution

Mathematics

Find the prime factorization of the number.468

A. 34 ? 13 B. 23 ? 32 ? 13 C. 24 ? 13 D. 22 ? 32 ? 13

Mathematics

Solve the problem.Find the value of a retirement savings account paying an APR of 6.6% (compounded monthly) after 40 years of monthly contributions (contributions made at the end of each month, including the last month) when the monthly contribution is $100. Round your answer to the nearest cent.

A. $251,976.40 B. $234,767.36 C. $218,654.54 D. $216,200.85 E. $241,375.18

Mathematics

Solve. Give your answer as a mixed number if appropriate. = 

A.
B. 3
C. 14
D. 7

Mathematics