Chapter 9: Problem 45
Solve the equation. Round the result to two decimal places. $$6.35 x-9.94=3.88+40.34 x$$
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LOGICAL REASONING Consider the equation \(a x^{2}+b x+c=0\) and use the quadratic formula to justify the statement. If \(b^{2}-4 a c\) is positive, then the equation has two solutions.
Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$\frac{3 \pm 4 \sqrt{5}}{4}$$
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?
Solve the inequality and graph the solution. 2 \leq x<5
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. Write the falling object model for \(s=60\)
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