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Chapter 1: Q. 8 (page 14)
The coordinate axes divide the xy-plane into four sections called _________.
The coordinate axes divide the xy-plane into four sections called quadrants.
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Find an equation for the line with the given properties. Express your answer using either the general form or the slope鈥搃ntercept form of the equation of a line, whichever you prefer.
Slope undefined, containing the point
A cereal company finds that the number of people who will buy one of its products in the first month that it is introduced is linearly related to the amount of money it spends on advertising. If it spends \(40,000 on advertising, then 100,000 boxes of cereal will be sold, and if it spends \)60,000, then 200,000 boxes will be sold.
(a) Write a linear equation that relates the amount A spent on advertising to the number x of boxes the company aims to sell.
(b) How much advertising is needed to sell 300,000 boxes of cereal?
(c) Interpret the slope.
In Problems 70, (a) find the intercepts of each equation, (b) test each equation for symmetry with respect to the -axis, the -axis, and the origin, and (c) graph each equation by hand by plotting points. Be sure to label the intercepts on the graph and use any symmetry to assist in drawing the graph. Verify your results using a graphing utility.
If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.
True or False The point lies in quadrant IV of the Cartesian plane.
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