The boiling point of water depends on altitude. The following equation approximates the number of degrees D below 212ºF at which water will boil at altitude h: 𝐷² + 520D = h. In Denver, Colorado, the altitude is approximately 5300 feet above sea level. At approximately what temperature does water boil in Denver?

According to legend, Galileo dropped objects of different weights from the so-called “leaning tower” of Pisa while developing his formula for free falling objects. The relationship that he discovered was that the distance d an object falls after t seconds is given by d = 16𝑡² (ignoring air resistance). This relationship can be found in the equation h = 32t – 16𝑡² , where h is the height of an object thrown upward from ground level at a rate of 32 feet per second. Solve the equation for h = 0.

Your vertical jump height is measured by subtracting your standing reach height from the height of the highest point you can reach by jumping without taking a running start. Typically, NBA players have vertical jump heights of up to 34 inches. If an NBA player jumps this high, his height h in inches above his standing reach height after t seconds can be modeled by h = 162t – 192𝑡² . Solve the equation for h = 0 and interpret the solution. Round your answer to the nearest hundredth.

A construction company is planning to pour concrete for a driveway. The length of the driveway is 16 feet longer than its width w. a. Write an expression for the area of the driveway and find the dimensions of the driveway if it has an area of 260 square feet.