91Ó°ÊÓ

Graph the equation. $$y=x+4$$

Write the quadratic equation in standard form. Solve using the quadratic formula. $$2-3 x+x^{2}=0$$

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$\frac{1 \pm 6 \sqrt{8}}{6}$$

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$\frac{5 \pm 6 \sqrt{3}}{3}$$

A tsunami is a destructive, fast-moving ocean wave that is caused by an undersea earthquake, landslide, or volcano. The Pacific Tsunami Warning Center is responsible for monitoring earthquakes that could potentially cause tsunamis in the Pacific Ocean. Through measuring the water level and calculating the speed of a tsunami, scientists can predict arrival times of tsunamis. The speed \(s\) (in meters per second) at which a tsunami moves is determined by the depth \(d\) (in meters) of the ocean. \(s=\sqrt{g d},\) where \(g\) is 9.8 meters per second per second. Find the speed of a tsunami in a region of the ocean that is 1000 meters deep. Write the result in simplified form.

A tsunami is a destructive, fast-moving ocean wave that is caused by an undersea earthquake, landslide, or volcano. The Pacific Tsunami Warning Center is responsible for monitoring earthquakes that could potentially cause tsunamis in the Pacific Ocean. Through measuring the water level and calculating the speed of a tsunami, scientists can predict arrival times of tsunamis. The speed \(s\) (in meters per second) at which a tsunami moves is determined by the depth \(d\) (in meters) of the ocean. \(s=\sqrt{g d},\) where \(g\) is 9.8 meters per second per second. Find the speed of a tsunami in a region of the ocean that is 4000 meters deep. Write the result in simplified form.

Rewrite the expression using positive exponents. $$x^{-4} y^{3}$$

Use a vertical motion model to find how long it will take for the object to reach the ground. You drop keys from a window 30 feet above ground to your friend below. Your friend does not catch them.

Use a vertical motion model to find how long it will take for the object to reach the ground. A lacrosse player throws a ball upward from her playing stick with an initial height of 7 feet, at an initial speed of 90 feet per second.

A falcon dives toward a pigeon on the ground. When the falcon is at a height of 100 feet the pigeon sees the falcon, which is diving at 220 feet per second. Estimate the time the pigeon has to escape.