Chapter 6: Problem 83
Find the slope and the y-intercept of the line. $$y=-5 x+2$$
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Sketch the graph of the inequality. $$y<9$$
In the last quarter of a high school football game, your team is behind by 21 points. A field goal is 3 points and a touchdown (with the point-after- touchdown) is 7 points. Let \(x\) represent the number of field goals scored. Let \(y\) represent the number of touchdowns scored. a. Write and graph an inequality that models the different numbers of field goals and touchdowns your team could score and still not win or tie. (Assume the other team scores no more points.) b. Does every point on the graph represent a solution of the real-life problem? Give examples to support your answer.
You are a car dealer. You have \(\$ 1,408,000\) available to purchase compact cars and sport utility vehicles for your lot. The compact car costs \(\$ 11,000\) and the sport utility vehicle costs \(\$ 22,000 .\) Let \(x\) represent the number of compact cars and let \(y\) represent the number of sport utility vehicles you purchase. Write an inequality that models the different numbers of compact cars and sport utility vehicles that you could purchase.
Evaluate the expression. \(2(r+s)\) when \(r=2\) and \(s=4\)
Evaluate the expression. \((a+4)-8\) when \(a=7\)
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