Chapter 9: Problem 50
Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$\frac{2 \pm 5 \sqrt{6}}{2}$$
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Solve the equation or write no solution. Write the solutions as integers if possible. Otherwise write them as radical expressions. $$3 x^{2}=6$$
Solve the equation or write no solution. Write the solutions as integers if possible. Otherwise write them as radical expressions. $$a^{2}+3=12$$
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?
Write the prime factorization. (Skills Review, p. \(T T T\) ) $$72$$
GRAPHING FUNCTIONS Graph the function. $$f(x)=-x+1$$
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