Use least common multiple or greatest common divisor to solve the problem.Planets A, B, and C orbit a certain star once every 3, 5, and 18 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again?

A. 26 months
B. 90 months
C. 270 months
D. 54 months


Answer: B

Mathematics

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Add or subtract. Express the answer as a mixed number.

A. 7
B. 6
C. 8
D. 7

Mathematics

Solve the problem.If money is invested for 3 years with interest compounded annually, the future value of the investment varies directly as the cube of 1 + r, where r is the interest rate. If the future value of the investment is $9317.00 when the rate is 10%, what rate gives a future value of $8575.30? Round to the nearest whole percent.

A. 8% B. 6% C. 7% D. 9%

Mathematics

Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 5x3 - 2x2 + 25x - 10

A. 5, , 1; f(x) = (5x - 2)(x - 1)(x - 5)
B. 10; f(x) = (x - 10)(5x2 + 1)
C. -5, -1, ; f(x) = (5x - 2)(x + 1)(x + 5)
D. ; f(x) = (5x - 2)(x2 + 5)

Mathematics

Given that the polynomial function has the given zero, find the other zeros.f(x) = x4 - 10x3 + 23x2 - 10x + 22; i

A. -i, 5 + , 5 - 
B. -i, -5 + , -5 - 
C. -i, 1 + , 1 - 
D. -i, 5 + 2, 5 - 2

Mathematics