Radical Equations and Extraneous Roots — Unit test Answers

A company’s profit is modeled by the quadratic function with zeros 6 and 42. The point (15, 81) is on the boundary line. Any values above the boundary line exceed the expected profits.

The graph represents the projected profits for a company, y, based on the number of units sold, x.

What is the solution set of the quadratic inequality

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?

A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?

What is the solution to the inequality ?

A company plans to sell pens for $2 each. The company’s financial planner estimates that the cost, y, of manufacturing the pens is a quadratic function with a y-intercept of 120 and a vertex of (250, 370). What is the minimum number of pens the company must sell to make a profit?

Edmundo used a number line to show the solution for the inequality . Which number line shows the solution?

A farm irrigation system waters a large field. Consider the center of the field as the origin and the rest of the field as a grid measured in yards. The first irrigation unit is located at the point (–400, –200) and waters 500 yards in every direction. The second is located at (200, 300) and waters 400 yards in every direction. The system of inequalities represents this scenario.

What is the solution to the inequality ?