Chapter 10: Problem 77
Find the greatest common factor. $$36,54,162$$
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Decide whether the ordered pair is a solution of the inequality. $$y\geq 4 x^{2}-64 x+92 ;(1,30)$$
Which one of the following equations cannot be solved by factoring with integer coefficients? (A) \(12 x^{2}-15 x-63=0\) (B) \(12 x^{2}+46 x-8=0\) (C) \(6 x^{2}-38 x-28=0\) (D) \(8 x^{2}-49 x-68=0\)
Use a is calculator to evaluate the expression. Round the result to two decimal places when appropriate. $$\left(4 \cdot 3^{2} \cdot 2^{3}\right)^{4}$$
The safe working load \(S\) (in tons) for a wire rope is a function of \(D\), the diameter of the rope in inches. Safe working load model for wire rope: \(4 \cdot D^{2}=S\) What diameter of wire rope do you need to lift a 9 -ton load and have a safe working load?
Use factoring to solve the equation. Use a graphing calculator to check your solution if you wish. $$-\frac{4}{5} x^{2}-\frac{4}{5} x-\frac{1}{5}=0$$
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