Write the expression in simplest form. If a radical appears in the denominator, rationalize the denominator.

A. 3x2
B. 75x
C. 5x
D. 5


Answer: C

Mathematics

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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Foci at (0, -25), (0, 25); asymptotes: y = x, y = - x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a house and a cabin - using the method of sealed bids. The players' bids (in dollars) are: In the initial allocation, player B

A. gets the house and the cabin and pays the estate $186,000. B. gets the house and pays the estate $274,000. C. gets the house and pays the estate $150,000. D. gets $62,000 from the estate. E. none of these

Mathematics

Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $30 and on an SST ring is $40?

A. 12 VIP and 12 SST B. 0 VIP and 24 SST C. 16 VIP and 8 SST D. 8 VIP and 16 SST

Mathematics

Solve the problem.A person has hired an investment broker to buy stock. The broker has three different stock funds that are of interest, but each is sensitive to a certain economic indicator that is impossible to predict. The indicator will be positive, neutral, or negative. The table below shows the payoffs in thousands of dollars. Find the strategy that the broker should recommend to maximize the expected value of the investment.  

A. Invest in Stock A with probability 1, invest in Stock B with probability 0, and invest in Stock C with probability 0. B. Invest in Stock A with probability 0, invest in Stock B with probability 1, and invest in Stock C with probability 0. C. Invest in Stock A with probability 5/13, invest in Stock B with probability 8/13, and invest in Stock C with probability 0. D. Invest in Stock A with probability 4/13, invest in Stock B with probability 9/13, and invest in Stock C with probability 0.

Mathematics