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Chapter 1: Problem 7
Solve each equation in Exercises \(1-14\) by factoring. $$3 x^{2}-2 x=8$$
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Solve each rational inequality in Exercises \(29-48,\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \frac{x+1}{x+3}<2 $$
In Exercises \(29-44,\) perform the indicated operations and write the result in standard form. $$\sqrt{-81}-\sqrt{-144}$$
In Exercises \(9-20,\) find each product and write the result in standard form. $$(-5+4 i)(3+7 i)$$
Solve each rational inequality in Exercises \(29-48,\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \frac{x+5}{x+2}<0 $$
Use the position formula $$ s=-16 t^{2}+v_{0} t+s_{0} $$ \(\left(v_{0}=\text { initial velocity, } s_{0}=\text { initial position, } t=\text { time }\right)\) to answer Exercises \(49-52 .\) If necessary, round answers to the nearest hundredth of a second. A diver leaps into the air at 20 feet per second from a diving board that is 10 feet above the water. For how many scconds is the diver at least 12 feet above the water?
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