91Ó°ÊÓ

Write each sentence as an equation and solve. The sum of a number and its reciprocal is \(\frac{5}{2}\).

Gary Marcus and Tony Alva work at Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Gary can lay a slab of concrete in 6 hours. Tony can lay the same size slab in 4 hours. If both work on the job and the cost of labor is \(\$ 45.00\) per hour, determine what the labor estimate should be.

For the given polynomial \(P(x)\) and the given \(c,\) use the remainder theorem to find \(P(c)\). $$ P(x)=x^{4}-3 x^{2}-2 x+5 ;-2 $$

Simplify. See Sections 5.1 and \(5.2 .\) $$ \frac{-36 x b^{3}}{9 x b^{2}} $$

Add or subtract as indicated. If possible, simplify your answer. See Examples I through 6. $$ \frac{7}{2 x y^{4}}+\frac{1}{2 x y^{4}} $$

Write an equation to describe each variation. Use k for the constant of proportionality. See Examples 1 through 7. \(y\) varies directly as \(x\) and inversely as \(p^{2}\)

Add or subtract as indicated. If possible, simplify your answer. See Examples I through 6. $$ \frac{13 x-5}{2 x}-\frac{13 x+5}{2 x} $$

For the given polynomial \(P(x)\) and the given \(c,\) use the remainder theorem to find \(P(c)\). $$ P(x)=2 x^{4}-3 x^{2}-2 ; \frac{1}{3} $$

The world record for the largest white bass caught is held by Ronald Sprouse of Virginia. The bass weighed 6 pounds 13 ounces If Ronald rows to his favorite fishing spot 9 miles downstream in the same amount of time that he rows3 miles upstream and if the current is 6 mph, find how long it takes him to cover the 12 miles.

Simplify. See Sections 5.1 and \(5.2 .\) $$ \frac{144 x^{5} y^{5}}{-16 x^{2} y} $$