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Chapter 1: Problem 42
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(C=2 \pi r\) for \(r\)
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When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.
Explaining the Concepts. Explain why \(|x|<-4\) has no solution.
In Exercises 122鈥�133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. A city commission has proposed two tax bills. The first bill requires that a homeowner pay 1800 dollar plus \(3 \%\) of the assessed home value in taxes. The second bill requires taxes of 200 dollar plus \(8 \%\) of the assessed home value. What price range of home assessment would make the first bill a better deal?
Solve equation by the method of your choice. $$ \sqrt{3} x^{2}+6 x+7 \sqrt{3}=0 $$
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$ (-\infty,-1] \cap[-4, \infty)=[-4,-1] $$
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