By Michael Sullivan
Now in its 11th version, this article once more lives as much as its attractiveness as a in actual fact written, finished finite arithmetic publication. The 11th variation of Finite arithmetic builds upon an exceptional beginning through integrating new good points and methods that extra increase scholar curiosity and involvement. All latest difficulties were up-to-date to supply relevance and timeliness. This new version of Finite arithmetic comprises an identical components resembling step by step Examples, workout units, and studying goals in each bankruptcy. In an enticing and available variety, this article demonstrates how arithmetic applies to numerous fields of analysis. The textual content is choked with actual information and real-life functions to company, economics, social and lifestyles sciences.
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Example text
Since x = 3, no matter what y-coordinate is used, the corresponding x-coordinate always equals 3. Consequently, the graph of the equation x = 3 is a vertical line with x-intercept (3, 0) as shown in Figure 9. ■ SOLUTION x=3 x 5 (3, 0) (3, –1) ▲ Theorem As suggested by Example 4, we have the following result: Equation of a Vertical Line A vertical line is given by an equation of the form x؍a where (a, 0) is the x-intercept. EXAMPLE 5 Finding the Equation of a Vertical Line Find an equation for the vertical line containing the point (- 1, 6).
If an Army female who is 67 inches tall should weigh 139 pounds and an Army female who is 70 inches tall should weigh 151 pounds, find a linear equation that expresses recommended weight in terms of height. 115. 908 billion in 2008. (a) Assuming that the dollar amount of annual increase in total sales and other operating income will remain constant, find a linear equation expressing total sales and other operating income S for Chevron Corporation in terms of the time t in years. (b) Use this equation to predict total sales and other operating income for Chevron Corporation in the year 2011.
123. Can every line be written in slope–intercept form? Explain. y 124. Does every line have two distinct intercepts? Explain. Are x there lines that have no intercepts? Explain. 125. What can you say about two lines that have equal slopes and equal y-intercepts? 126. What can you say about two lines with the same x-intercept and the same y-intercept? Assume that the x-intercept is not (0, 0). 121. Which of the following equations might have the graph shown. ) (a) 2x + 3y = 6 (b) 2x - 3y = 6 (c) 3x + 4y = 12 (d) x - y = 1 (e) x - y = - 1 (f) y = - 2x + 1 1 (g) y = - x + 10 2 (h) y = x + 4 119.