Chapter 0: Problem 128
Solve each equation. $$10 x-1=(2 x+1)^{2}$$
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Chapter 0: Problem 128
Solve each equation. $$10 x-1=(2 x+1)^{2}$$
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Determine whether each statement makes sense or does not make sense, and explain your reasoning. I can check inequalities by substituting 0 for the variable: When 0 belongs to the solution set, I should obtain a true statement, and when 0 does not belong to the solution set. I should obtain a false statement.
State the name of the property illustrated. $$-8(3+11)=-24+(-88)$$
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?
You had \(\$ 10,000\) to invest. You put \(x\) dollars in a safe, government- insured certificate of deposit paying \(5 \%\) per year. You invested the remainder of the money in noninsured corporate bonds paying \(12 \%\) per year. Your total interest earned at the end of the year is given by the algebraic expression $$ 0.05 x+0.12(10,000-x) $$ a. Simplify the algebraic expression. b. Use each form of the algebraic expression to determine your total interest earned at the end of the year if you invested \(\$ 6000\) in the safe, government-insured certificate of deposit.
Will help you prepare for the material covered in the next section. A telephone texting plan has a monthly fee of \(\$ 20\) with a charge of \(\$ 0.05\) per text. Write an algebraic expression that models the plan's monthly cost for \(x\) text messages.
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