SOLUTION MANUAL Finite Mathematics & Its Applications 13th Edition by Larry J. Goldstein, Chapters 1 - 12, Complete

Contents Chapter 1: Linear Equations and Straight Lines 1–1 Chapter 2: Matrices 2–1 Chapter 3: Linear Programming, A Geometric Approach 3–1 Chapter 4: The Simplex Method 4–1 Chapter 5: Sets and Counting 5–1 Chapter 6: Probability 6–1 Chapter 7: Probability and Statistics 7–1 Chapter 8: Markov Processes 8–1 Chapter 9: The Theory of Games 9–1 Chapter 10: The Mathematics of Finance 10–1 Chapter 11: Logic 11–1 Chapter 12: Difference Equations and Mathematical Models 12–1 Exercises 1.1 Chapter 1 6. Left 1, down 5 1. Right 2, up 3 y 2 y x x 2. Left 1, up 4 y 7. Left 20, up 40 y x x 3. Down 2 y 8. Right 25, up 30 y x x 4. Right 2 y x 9. Point Q is 2 units to the left and 2 units up or (—2, 2). 10. Point P is 3 units to the right and 2 units down or (3,—2). 5. Left 2, up 1 y 11. 12. —2(1) + 1 (3) = —2 +1 = —1so yes the point is 3 on the line. —2(2) + 1 (6) = —1 is false, so no the point is not 3 on the line x 13. —2x + 1 y = —1 Substitute the x and y 3 coordinates of the point into the equation: 'f1 , 3ıh → —2'f1ıh+ 1 (3) = —1 → —1+1 = —1 is y 24. 0 = 5 no solution x-intercept: none When x = 0, y = 5 y-intercept: (0, 5) 2 J y 2J 3 14. a false statement. So no the point is not on the line. —2f'1ıh+'f1ıh(—1) = —1 is true so yes the point is 25. When y = 0, x = 7 x-intercept: (7, 0) 0 = 7 no solution 'y3ıJ 'y3ıJ on the line. 15. m = 5, b = 8 16. m = –2 and b = –6 17. y = 0x + 3; m = 0, b = 3 y-intercept: none 26. 0 = –8x x = 0 x-intercept: (0, 0) y = –8(0) y = 0 y-intercept: (0, 0) 18. y = 2 x + 0; m = 2 , b = 0 3 3 27. 0 = 1 x – 1 3 x = 3 19. 14x + 7 y = 21 7 y = —14x + 21 y = —2x + 3 x-intercept: (3, 0) y = 1 (0) – 1 3 y = –1 20. x — y = 3 —y = —x + 3 y = x — 3 y-intercept: (0, –1) y 21. 3x = 5 x = 5 3 1 2 x 28. When x = 0, y = 0. 22. – x + y = 10 2 3 2 y = 1 x +10 3 2 y = 3 x +15 4 When x = 1, y = 2. y x 23. 0 = —4x + 8 4x = 8 x = 2 x-intercept: (2, 0) y = –4(0) + 8 y = 8 y-intercept: (0, 8) 29. 0 = 5 2 no solution x-intercept: none 32. x + 0 = 3 x = 3 x-intercept: (3, 0) 0 + y = 3 When x = 0, y = 5 2 y = 3 y-intercept: (0, 3) y-intercept: f'0, 5ıh y y' 2ıJ y x x 30. The line coincides with the y-axis. y 33. 5 x =— 2 x 31. 3x + 4(0) = 24 x = 8 x-intercept: (8, 0) 3(0) + 4 y = 24 y = 6 y-intercept: (0, 6)