Rationalize the denominator. Assume that all variables represent positive real numbers and that the denominator is not zero.

A.
B.
C.
D.


Answer: C

Mathematics

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Find all real numbers that satisfy the equation.sin x = - 

A.
B.
C.
D.

Mathematics

Solve the problem.Under a certain apportionment method State X receives 41 seats and State Y receives 29 seats. Ten years later, the population of State X has increased by 5%, while the population of State Y remains unchanged. Under the same apportionment method, State X now receives 40 seats and State Y receives 30 seats. This is called

A. the population paradox. B. a violation of the quota rule. C. the new states paradox. D. the Alabama paradox. E. none of these

Mathematics

Find the inverse of the function.f(x) =  - 4

A. f-1(x) = 4(x + 4)3 B. f-1(x) = 12(x + 4) C. f-1(x) = [4(x + 4)]3 D. f-1(x) = 4(x3 + 4)

Mathematics

Solve the inequality by using algebraic and graphical methods. Round to three decimal places, if necessary.(x - 10)3 > 66

A. x < -8.124 or x > 8.124 B. x > 15.828 C. x < -14.041 or x > 14.041 D. x > 14.041

Mathematics