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Chapter 0: Problem 91
Simplify each algebraic expression. $$5(3 y-2)-(7 y+2)$$
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$$\text { Factor completely.}$$ $$7 x^{4}+34 x^{2}-5$$
Give an example of a rational number that is not an integer.
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's 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 the 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?
Fill in each box to make the statement true. Place the correct symbol, \(>\) or \(<,\) in the shaded area between the given numbers. Do not use a calculator. Then check your result with a calculator. a. \(3^{\frac{1}{2}} 3^{\frac{1}{3}}\) b. \(\sqrt{7}+\sqrt{18} \quad \sqrt{7+18}\)
Determine whether each statement in Exercises 43鈥�50 is true or false. $$-\pi \geq-\pi$$
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