Problem 76
Solve the inequality. Then sketch a graph of the solution on a number line. $$|3 x+7|-4>9 \quad $$
Problem 77
Solve the inequality. Then sketch a graph of the solution on a number line. $$|x+2|-1 \leq 8 $$
Problem 77
GRAPHING Graph the system of linear inequalities. $$ \begin{aligned} &2 x+y \leq 1\\\ &-2 x+y \leq 1 \end{aligned} $$
Problem 77
Use the following information. The power generated by a windmill can be modeled by the equation \(w=0.015 s^{3},\) where \(w\) is the power measured in watts and \(s\) is the wind speed in miles per hour. Find the ratio of the power generated by a windmill when the wind speed is 20 miles per hour to the power generated when the wind speed is 10 miles per hour.
Problem 77
Sketch the graph of the inequality in a coordinate plane. $$ y \leq \frac{x}{2} $$
Problem 78
Sketch the graph of the inequality in a coordinate plane. $$ \frac{3}{4} x+\frac{1}{4} y \geq 1 $$
Problem 78
Solve the inequality. Then sketch a graph of the solution on a number line. $$\text |3-x|-6>-4 \quad $$
Problem 78
GRAPHING Graph the system of linear inequalities. $$ \begin{aligned} &x+2 y<3\\\ &x-3 y>1 \end{aligned}$$
Problem 78
Use the following information. The power generated by a windmill can be modeled by the equation \(w=0.015 s^{3},\) where \(w\) is the power measured in watts and \(s\) is the wind speed in miles per hour. Write a general statement about how doubling the wind speed affects the amount of power generated by a windmill.
Problem 79
Use the following information. The power generated by a windmill can be modeled by the equation \(w=0.015 s^{3},\) where \(w\) is the power measured in watts and \(s\) is the wind speed in miles per hour. Part A of a test has 10 true-false questions. Part B has 10 multiple-choice questions. Each of the multiple-choice questions has 4 possible answers. There are \(2^{10}\) ways to answer the 10 questions in Part A. There are \(4^{10}\) ways to answer the 10 questions in Part B. a. How many ways are there to answer all 20 questions? b. If you guess the answer to each question, what is the probability that you will get them all right?
