By Soo T. Tan
Market-leading FINITE arithmetic FOR THE MANAGERIAL, lifestyles, AND SOCIAL SCIENCES, 11th version balances sleek functions, stable pedagogy, and the most recent know-how to supply scholars the context they should remain prompted within the direction and drawn to the fabric. appropriate for majors and non-majors alike, the textual content makes use of an intuitive method that teaches innovations via examples drawn from real-life--particularly from scholars' fields of curiosity. moreover, insightful Portfolios spotlight the careers of genuine humans and talk about how they contain math into their day-by-day expert actions. quite a few workouts make sure that scholars have a concrete knowing of thoughts prior to advancing to the subsequent subject. The text's pedagogical beneficial properties coupled with an exhilarating array of supplementations equip scholars with the instruments they should utilize their learn time and to reach the path.
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Extra info for Finite mathematics for the managerial, life, and social sciences
Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 2 STRAIGHT LINES y y L 5 (a, y) 3 x = –2 x=3 1 (a, 0) x x –3 FIGURE 19 L (x, y) (x1, y1) x 1 5 FIGURE 20 The vertical line x ϭ a y –1 The vertical lines x ϭ Ϫ2 and x ϭ 3 Next, suppose L is a nonvertical line, so it has a well-defined slope m.
The point P with x-coordinate equal to a and y-coordinate equal to b is often written P(a, b). The points A(2, 3), B(Ϫ2, 3), C(Ϫ2, Ϫ3), D(2, Ϫ3), E(3, 2), F(4, 0), and G(0, Ϫ5) are plotted in Figure 4. Note In general, (x, y) ( y, x). This is illustrated by the points A and E in Figure 4. y 4 B(–2, 3) A(2, 3) E(3, 2) 2 F(4, 0) –3 –1 1 3 x 5 –2 C(–2, –3) D(2, – 3) –4 G(0, – 5) FIGURE 4 –6 Several points in the coordinate plane The axes divide the plane into four quadrants. Quadrant I consists of the points P with coordinates x and y, denoted by P(x, y), satisfying x Ͼ 0 and y Ͼ 0; Quadrant II consists of the points P(x, y) where x Ͻ 0 and y Ͼ 0; Quadrant III consists of the points P(x, y) where x Ͻ 0 and y Ͻ 0; and Quadrant IV consists of the points P(x, y) where x Ͼ 0 and y Ͻ 0 (Figure 5).
C) The fourth quadrant? 2. a. What is the distance between P1(x1, y1) and P2(x2, y2)? b. When you use the distance formula, does it matter which point is labeled P1 and which point is labeled P2? Explain. 1 Exercises In Exercises 1–6, refer to the accompanying figure and determine the coordinates of the point and the quadrant in which it is located. In Exercises 7–12, refer to the accompanying figure. y B y 4 2 C D 3 –6 A A D –4 x 2 –2 4 –2 F B 6 G E 1 –4 x –5 –3 –1 1 3 5 7 9 7. Which point has coordinates (4, 2)?