Quadratic Inequalities Answers

The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.2. Which inequality can be used to find the possible lengths, x, of the base of the triangle?

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it falls is represented by the equation S(t) = –16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

What is the solution set of the quadratic inequality 4(x + 2)2 0?

What are the solutions to the inequality ?

What is the solution set of the quadratic inequality

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more than the width, x, which interval can be the possible widths?

The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of –30 ft/sec is modeled by the equation h(t) = –16t2 – 30t + 124, where t is the time in seconds. For which interval of time does the rock remain in the air?

The graph below represents the solution set of which inequality?

A graph of quadratic function y = f(x) is shown below.What is the solution set of the quadratic inequality ?

What is the solution set to the inequality ?

Which quadratic inequality does the graph below represent?

Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in seconds, for which interval of time is he less than 104 feet above the ground?

Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 – 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. For which interval of time is Greg’s car moving in the air?

Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function , where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?