Chapter 9: Problem 58
Which is the simplified form of \(4 \frac{\sqrt{125}}{\sqrt{25}} ?\) (A) \(2 \sqrt{5}\) (B) \(4 \sqrt{5}\) (C) \(20 \sqrt{5}\) (D) \(\frac{4 \sqrt{5}}{5}\)
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Use the following information. Scientists simulate a gravity-free environment called microgravity in free- fall situations. A similar microgravity environment can be felt on free-fall rides at amusement parks or when stepping off a high diving platform. The distance \(d\) (in meters) that an object that is dropped falls in \(t\) seconds can be modeled by the equation \(d=\frac{1}{2} g\left(t^{2}\right),\) where \(g\) is the acceleration due to gravity (9.8 meters per second per second). How are these formulas similar? \(d=\frac{1}{2} g\left(t^{2}\right)\) when \(d\) is distance, \(g\) is gravity, and \(t\) is time \(h=-16 t^{2}+s\) when \(h\) is height, \(s\) is initial height, and \(t\) is time
Sketch the graph of the function. Label the vertex. y=4 x^{2}-\frac{1}{4} x+4
Solve the equation or write no solution. Write the solutions as integers if possible. Otherwise write them as radical expressions. $$7 x^{2}-63=0$$
A boulder falls off the top of a cliff during a storm. The cliff is 60 feet high. Find how long it will take for the boulder to hit the road below. Which problem solving method do you prefer? Why?
SOLVING INEQUALITIES Solve the inequality. $$-\frac{x}{3} \geq 15$$
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