By Soo T. Tan

This article is helping you achieve finite arithmetic and utilized calculus through the use of transparent motives, real-life examples, and updated know-how. Real-life applications-such as satellite tv for pc radio subscriptions, Google's profit, task outsourcing, and the consequences of smoking bans-are drawn from the components of commercial and the behavioral, existence, and social sciences. Portfolio profiles provide you with a firsthand examine how real-world pros use finite arithmetic and utilized calculus of their paintings. you may as well benefit from large on-line aid to augment your studying, together with video guide and interactive tutorials that stroll you step-by-step via examples and difficulties within the textual content.

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**Additional resources for College Mathematics for the Managerial, Life, and Social Sciences, (7th Edition) **

**Example text**

Y, x). This is illustrated by the points A and E in 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 Several points in the coordinate plane –6 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, the points P(x, y) where x Ͻ 0 and y Ͼ 0; Quadrant III, the points P(x, y) where x Ͻ 0 and y Ͻ 0; and Quadrant IV, the points P(x, y) where x Ͼ 0 and y Ͻ 0 (Figure 5).

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, the points P(x, y) where x Ͻ 0 and y Ͼ 0; Quadrant III, the points P(x, y) where x Ͻ 0 and y Ͻ 0; and Quadrant IV, the points P(x, y) where x Ͼ 0 and y Ͻ 0 (Figure 5). y Quadrant II (–, +) Quadrant I (+, +) x O FIGURE 5 The four quadrants in the coordinate plane Quadrant III (–, –) Quadrant IV (+, –) 1 STRAIGHT LINES AND LINEAR FUNCTIONS 4 y The Distance Formula One immediate benefit that arises from using the Cartesian coordinate system is that the distance between any two points in the plane may be expressed solely in terms of the coordinates of the points.

The slope of the line is undefined. 23. The slope of the line is positive, and its y-intercept is positive. 4 24. The slope of the line is positive, and its y-intercept is negative. 25. The slope of the line is negative, and its x-intercept is negative. 26. The slope of the line is negative, and its x-intercept is positive. y a. x 4 y f. 3 4 x –3 3 x –4 In Exercises 27–30, find an equation of the line that passes through the point and has the indicated slope m. y b. 4 27. (3, Ϫ4); m ϭ 2 29. (Ϫ3, 2); m ϭ 0 x 4 28.