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Chapter 0: Problem 4
Find all numbers that must be excluded from the domain of each rational expression. $$\frac{x+7}{x^{2}-49}$$
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$$\text { Factor completely.}$$ $$y^{7}+y$$
Find the union of the sets. $$\\{1,2,3,4\\} \cup\\{2,4,5\\}$$
Your local electronics store is having an end-of-the-year sale. The price on a plasma television had been reduced by \(30 \% .\) Now the sale price is reduced by another \(30 \%\). If \(x\) is the television's original price, the sale price can be modeled by $$(x-0.3 x)-0.3(x-0.3 x)$$ a. Factor out \((x-0.3 x)\) from each term. Then simplify the resulting expression. b. Use the simplified expression from part (a) to answer these questions. With a \(30 \%\) reduction followed by a \(30 \%\) reduction, is the television selling at \(40 \%\) of its original price? If not, at what percentage of the original price is it selling?
Determine whether each statement in Exercises 43鈥�50 is true or false. $$-13<-5$$
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$8^{-\frac{1}{3}}=-2$$
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