Chapter 10: Problem 39
Solve the equation. $$ (4 y-5)(2 y-6)(3 y-4)=0 $$
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Solve the equation. $$(4 n-6)^{3}=0$$
The population \(P\) of Alabama (in thousands) for 1995 projected through 2025 can be modeled by \(P=4227(1.0104)^{t},\) where \(t\) is the number of years since \(1995 .\) Find the ratio of the population in 2025 to the population in \(2000 .\) Compare this ratio with the ratio of the population in 2000 to the population in $1995
Simplify the expression. $$\sqrt{10} \cdot \sqrt{20}$$
Which of the following is a correct factorization of \(72 x^{2}-24 x+2 ?\) (A) \(-9(3 x-1)^{2}\) (B) \(8\left(9 x-\frac{1}{2}\right)^{2}\) (C) \(8\left(3 x-\frac{1}{2}\right)\left(3 x-\frac{1}{2}\right)\) (D) \(-8\left(3 x-\frac{1}{2}\right)^{2}\)
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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