Simplify. Be sure to rationalize all denominators. Assume that all variables represent positive real numbers.

A.  
B. 10 
C. 131
D.  


Answer: A

Mathematics

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Solve the system. If there is an unlimited number of solutions, find one of them.x - y + 3z = 10-3x + 3y - 9z = 2x + 4y + z = 18

A. x = 2, y = 4, z = 0 B. x = 0, y = 4, z = 2 C. x = 2, x = 0, y = 4 D. Inconsistent

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Use the substitution formula to evaluate the integral.

A. -ln 2 B. -ln 3 C. 0 D. ln 3

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Solve the problem.The difference of the reciprocals of two consecutive integers is 1/20. Find the integers.

A. 4 and 5 or -4 and -5 B. 3 and 4 or -3 and -4 C. 5 and 6 or -5 and -6 D. 10 and 11 or -10 and -11

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Provide an appropriate response.The only consecutive whole numbers that are both prime numbers are  and .

A. 2 and 3 B. 1 and 2 C. 0 and 1 D. 6 and 7

Mathematics