By Soo T. Tan
This article is helping you reach finite arithmetic and utilized calculus by utilizing transparent factors, real-life examples, and updated expertise. 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 offer you a firsthand examine how real-world pros use finite arithmetic and utilized calculus of their paintings. it's also possible to reap the benefits of wide on-line help to reinforce your studying, together with video guideline and interactive tutorials that stroll you step-by-step via examples and difficulties within the textual content.
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Extra resources for College Mathematics for the Managerial, Life, and Social Sciences, (7th Edition)
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. (2, 4); m ϭ Ϫ1 1 30. 11, 22; m ϭ Ϫ 2 In Exercises 31–34, find an equation of the line that passes through the given points. 31. (2, 4) and (3, 7) 32. (2, 1) and (2, 5) 33.
Source: Paul Kagan Associates 79. 0 1 2 3 4 5 a. Plot the annual sales (y) versus the year (x). b. Draw a straight line L through the points corresponding to the first and fifth years. c. Derive an equation of the line L. d. Using the equation found in part (c), estimate Metro’s annual sales 4 yr from now (x ϭ 9). 80. Is there a difference between the statements “The slope of a straight line is zero” and “The slope of a straight line does not exist (is not defined)”? Explain your answer. 81. Consider the slope-intercept form of a straight line y ϭ mx ϩ b.
Suppose, for example, (x1, y1) and (x2, y2) are any two points in the plane (Figure 6). Then the distance d between these two points is, by the Pythagorean theorem, P2(x 2, y2 ) d d ϭ 21x2 Ϫ x1 2 2 ϩ 1 y2 Ϫ y1 2 2 P1(x1, y1) x FIGURE 6 The distance between two points in the coordinate plane For a proof of this result, see Exercise 45, page 9. Distance Formula The distance d between two points P1(x1, y1) and P2(x2, y2) in the plane is given by d ϭ 21x2 Ϫ x1 2 2 ϩ 1 y2 Ϫ y1 2 2 (1) In what follows, we give several applications of the distance formula.
College Mathematics for the Managerial, Life, and Social Sciences, (7th Edition) by Soo T. Tan