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Chapter 0: Problem 32
Factor each trinomial, or state that the trinomial is prime. $$9 x^{2}+5 x-4$$
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will help you prepare for the material covered in the first section of the next chapter. If \(y=4-x^{2},\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-3\) and ending with 3 .
Your computer store is having an incredible sale. The price on one model is reduced by 40%. Then the sale price is reduced by another 40%. If x is the computer鈥檚 original price, the sale price can be modeled by Your computer store is having an incredible sale. The price on one model is reduced by 40%. Then the sale price is reduced by another 40%. If x is the computer鈥檚 original price, the sale price can be modeled by $$ (x-0.4 x)-0.4(x-0.4 x)$$ A. Factor out \((x-0.4 x)\) from each term. Then simplify thre sulting expression. B. resulting expression. b. Use the simplified expression from part (a) to answer these questions. With a 40% reduction followed by a 40% reduction, is the computer selling at 20% of its original price? If not, at what percentage of the original price is it selling?
Describe what it means to rationalize a denominator. Use both \(\frac{1}{\sqrt{5}}\) and \(\frac{1}{5+\sqrt{5}}\) in your explanation.
Factor and simplify each algebraic expression. $$(x+3)^{\frac{1}{2}}-(x+3)^{\frac{1}{2}}$$
Will help you prepare for the material covered in the next section. Factor the numerator and the denominator. Then simplify by dividing out the common factor in the numerator and the denominator. $$\frac{x^{2}+6 x+5}{x^{2}-25}$$
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