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Chapter 1: Problem 7
Add or subtract as indicated and write the result in standard form. $$ 8 i-(14-9 i) $$
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In Exercises 59鈥�94, solve each absolute value inequality. $$ 4+\left|3-\frac{x}{3}\right| \geq 9 $$
Use the Pythagorean Theorem and the square root property to solve. Express answers in simplified radical form. Then find a decimal approximation to the nearest tenth. a. A wheelchair ramp with a length of 122 inches has a horizontal distance of 120 inches. What is the ramp's vertical distance? b. Construction laws are very specific when it comes to access ramps for the disabled. Every vertical rise of 1 inch requires a horizontal run of 12 inches. Does this ramp satisfy the requirements?
In Exercises 59鈥�94, solve each absolute value inequality. $$ 1<\left|x-\frac{11}{3}\right|+\frac{7}{3} $$
In Exercises 95鈥�102, use interval notation to represent all values of x satisfying the given conditions. \(y=7-\left|\frac{x}{2}+2\right|\) and \(y\) is at most 4
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.
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