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Chapter 1: Problem 47
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A=\frac{1}{2} h(a+b)\) for \(a\)
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Graph \(y=2 x\) and \(y=2 x+4\) in the same rectangular coordinate system. Select integers for \(x,\) starting with \(-2\) and ending with 2.
The formula for converting Celsius temperature, \(C,\) to Fahrenheit temperature, \(F,\) is $$ F=\frac{9}{5} C+32 $$ If Celsius temperature ranges from \(15^{\circ}\) to \(35^{\circ},\) inclusive, what is the range for the Fahrenheit temperature? Use interval notation to express this range.
In Exercises 122鈥�133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. The toll to a bridge is 3.00 dollar. A three-month pass costs 7.50 dollar and reduces the toll to 0.50 dollar. A six-month pass costs $30 and permits crossing the bridge for no additional fee. How many crossings per three-month period does it take for the three-month pass to be the best deal?
In Exercises 95鈥�102, use interval notation to represent all values of x satisfying the given conditions. $$ y_{1}=\frac{2}{3}(6 x-9)+4, y_{2}=5 x+1, \text { and } y_{1}>y_{2} $$
Determine whether each statement makes sense or does not make sense, and explain your reasoning. When I use the square root property to determine the length of a right triangle's side, I don't even bother to list the negative square root.
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