Use a proportion to solve the problem.The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 80 centimeters long plays a G, what is the length of the string that plays an F?

A. 88 cm
B. 89 cm
C. 90 cm
D. 71.1 cm


Answer: C

Mathematics

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Determine whether the given functions are inverses of each other.f(x) =  , g(x) = 2x - 3

A. Yes B. No

Mathematics

Solve the system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. no solution; ?
B. {(7, -3)}
C. {(-3, 7)}
D. infinitely many solutions; { x = 7} or { y = -3}

Mathematics

Simplify the expression.( + 1)( - 1)

A. 2 - 2
B. 2
C. 2 + 2
D. 4

Mathematics

Solve the problem.A person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest. The rest of the money suffered a 5% loss. Express the total annual income from both investments, I, as a function of x.

A. I(x) = 0.09x - 0.05(13,000 - x) B. I(x) = 0.09x + 0.05(13,000 - x) C. I(x) = 0.05x - 0.09(13,000 - x) D. I(x) = -0.09x + 0.05(13,000 - x)

Mathematics