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Chapter 7: Problem 22
Solve each system by the substitution method. Be sure to check all proposed solutions. \(\left\\{\begin{array}{r}-x+3 y=10 \\ 2 x+8 y=-6\end{array}\right.\)
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Graph each linear inequality. \(y>\frac{1}{3} x\)
Make Sense? In Exercises 58-61, determine whether each statement makes sense or does not make sense, and explain your reasoning. When graphing a linear inequality, I should always use \((0,0)\) as a test point because it's easy to perform the calculations when 0 is substituted for each variable.
Graph each linear inequality. \(2 x+3 y>12\)
The percentage of adult height attained by a girl who is \(x\) years old can be modeled by $$ f(x)=62+35 \log (x-4), $$ where \(x\) represents the girl's age (from 5 to 15 ) and \(f(x)\) represents the percentage of her adult height. Use the function to solve Exercises 37-38. a. According to the model, what percentage of her adult height has a girl attained at age ten? Use a calculator with a LOG key and round to the nearest tenth of a percent. b. Why was a logarithmic function used to model the percentage of adult height attained by a girl from ages 5 to 15 , inclusive?
Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}4 x-5 y \geq-20 \\ x \geq-3\end{array}\right.\)
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