Chapter 10: Problem 93
Solve the equation. $$(z-1)(4 z+2)=0$$
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Sketch the graph of the inequality. \(x+y<9\)
Solve the equation. $$(3 a-8)(a+5)=0$$
In Exercises \(64-66,\) use the vertical motion model \(\boldsymbol{h}=-\mathbf{1 6 t}^{2}+\boldsymbol{v t}+\boldsymbol{s},\) where \(\boldsymbol{h}\) is the height (in feet), \(t\) is the time in motion (in seconds), \(v\) is the initial velocity (in feet per second), and \(s\) is the initial height (in feet). Solve by factoring. T-SHIRT CANNON At a basketball game, T-shirts are rolled-up into a ball and shot from a "T-shirt cannon" into the crowd. The T-shirts are released from a height of 6 feet with an initial upward velocity of 44 feet per second. If you catch a T-shirt at your seat 30 feet above the court, how long was it in the air before you caught it? Is your answer reasonable?
Decide whether the ordered pair is a solution of the inequality. $$y>2 x^{2}-x+7 ;(2,15)$$
In Exercises \(69-72,\) you are tutoring a friend and want to create some quadratic equations that can be solved by factoring. Find a quadratic equation that has the given solutions and explain the procedure you used to obtain the equation. $$-\frac{1}{2}\( and \)\frac{1}{3}$$
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