Chapter 9: Problem 71
Rewrite the expression using positive exponents. $$\frac{1}{2 x^{-5}}$$
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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). The NASA Lewis Research Center has two microgravity facilities. One provides a 132 -meter drop into a hole and the other provides a 24 -meter drop inside a tower. How long will each free-fall period be?
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). If you want to double the free-fall time, how much do you have to increase the height from which the object was dropped?
Solve the equation or write no solution. Write the solutions as integers if possible. Otherwise write them as radical expressions. $$3 x^{2}=6$$
Evaluate \(\sqrt{b^{2}-4 a c}\) for the given values. $$a=-3, b=7, c=5$$
Sketch the graph of the function. Label the vertex. y=6 x^{2}-4 x-1
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