Rational Inequalities — Unit test Answers

Which inequality is equivalent to ?

A cliff diver leaps from a 100-foot cliff into the Pacific. The diver’s height above the water is modeled by the functionP(x) = –16x 2 + 10x + 100, where x is time in seconds.During which interval is the diver at least halfway down?

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

For , which expression represents the correct form of the partial fraction decomposition?

Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?

What is the solution of ?

Regular exercise can help a person lower their resting heart rate. Suppose an individual’s resting heart rate, in beats per minute, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise.How many weeks of exercise are necessary to lower the individual’s resting heart rate below 70 beats per minute?

Which graph shows the solution set of ?

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

You can use a system of equations to graph and solve the polynomial equation . Which statement is true?

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

What is the solution to 4x 3 – 3x 2 – 7x < 0?

What is the partial fraction decomposition of ?

Review the equation used in writing a partial fraction decomposition.

What is the solution to x 4 + 4x 3 ≤ 12x 2?