Type:
Solution Manual
Resource:
Finite Mathematics & Its Applications
Edition:
13th Edition
Author(s):
Larry J. Goldstein Martha J. Siegel David I. Schneider
INSTRUCTOR’S SOLUTIONS MANUAL FINITE MATHEMATICS AND I TS A PPLICATIONS THIRTEENTH EDITION
Larry J. Goldstein Goldstein Educational Technologies
David I. Schneider University of Maryland
Martha J. Siegel Towson University
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
Chapter 1 Exercises 1.1
6. Left 1, down
1. Right 2, up 3
5 2
7. Left 20, up 40
2. Left 1, up 4
8. Right 25, up 30
3. Down 2
9. Point Q is 2 units to the left and 2 units up or ( 2, 2).
4. Right 2
10. Point P is 3 units to the right and 2 units down or (3, 2). 11.
5. Left 2, up 1
12.
.
1 (3) 3 on the line. 2(1)
1 (6) 3 on the line 2(2)
2 1
1 so yes the point is
1 is false, so no the point is not
1-1
Chapter 1: Linear Equations and Straight Lines
13.
14.
1 y 1 Substitute the x and y 3 coordinates of the point into the equation: 1 1 1 ,3 2 3 1 1 1 1 is 2 2 3 a false statement. So no the point is not on the line. 2x
1 1 ( 1) 3 3 on the line. 2
1 is true so yes the point is
16. m = –2 and b = –6 17. y = 0x + 3; m = 0, b = 3 2 x 3
0; m
7y 7y y
21 14 x 21 2x 3
19. 14 x
20. x
y y y
21. 3 x
x 1 22. – 2 x
3 x
1-2
25. When y = 0, x = 7 x-intercept: (7, 0) 0=7 no solution y-intercept: none
0
1 x –1 3 x=3 x-intercept: (3, 0) 1 y (0) –1 3 y = –1 y-intercept: (0, –1)
27. 0
3
x 3
5 5 3 2 y 3 2 y 3 y
23.
2 ,b 3
24. 0 = 5 no solution x-intercept: none When x = 0, y = 5 y-intercept: (0, 5)
26. 0 = –8x x=0 x-intercept: (0, 0) y = –8(0) y=0 y-intercept: (0, 0)
15. m = 5, b = 8
18. y
ISM: Finite Math
28. When x = 0, y = 0. When x = 1, y = 2.
10 1 x 10 2 3 x 15 4
0 4x 8 4x 8 x 2 x-intercept: (2, 0) y = –4(0) + 8 y=8 y-intercept: (0, 8)
.
ISM: Finite Math
Chapter 1: Linear Equations and Straight Lines
32. x
0 3 x 3 x-intercept: (3, 0) 0 y 3
5 2 no solution x-intercept: none
29. 0
5 2
When x = 0, y y-intercept: 0,
y 3 y-intercept: (0, 3)
5 2
33. x
5 2
30. The line coincides with the y-axis.
34. 31. 3x
4(0) 24 x 8 x-intercept: (8, 0) 3(0) 4 y 24
y 6 y-intercept: (0, 6)
.
1 x 2
1 (0) 1 3 x 2 x intercept (–2, 0) 1 1 (0) y 1 2 3 y 3 y intercept (0, 3)
1-3
Chapter 1: Linear Equations and Straight Lines
35. 2 x
3y 3y
6
a.
4x
1 36. 2 x – 5 y
2x 6 2 x 2 3
y 6y 6y
a.
2x –
b. Yes
x 3 y 2
x
y
2 x 3
y
b.
3
2 – x 3
6 2x
x 5y y
2
1 2x 1 10 x 5
5y 2 x 2 1 2 x 5 5
No 2
c.
Yes d.
1 y 5 1 y 5 y
No
3 y 2
3
1 x 1 2 1 1 x– 10 5 –
y
Yes
c.
1
–5 y
12 4 x 12 2 x 2 3
y
ISM: Finite Math
y y
0 6 2x
2 2– x 3
2 – x 3
2 5 x 10 y 10 y y
2x
6
0 5x 1 x 2
No
No d. e.
y
2
y
Yes f.
x
y y
y y
.1( x 2) .1x .2 1 1 x 10 5
Yes
1 x 1
e.
No
10 y x 10 y y
2 x 2 1 1 x 10 5
Yes f.
1 .5 x 5y y Yes
1-4
.
2 5y .5 x 1 1 1 x 10 5
2 1 5