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

SOLUTION MANUA
Finite Mathematics & Its Application
13th Edition by Goldstein Chapters 1 - 1

, Contents
Chapter 1: Linear Equations and Straight Lines
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Chapter 2: Matrices
ps 2–1

Chapter 3: Linear Programming, A Geometric Approach
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Chapter 4:
ps The Simplex Method
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Chapter 5: Sets and Counting
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Chapter 6: Probability
ps 6–1

Chapter 7: Probability and Statistics
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Chapter 8: Markov Processes
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Chapter 9:
ps The Theory of Games
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Chapter 10: The Mathematics of Finance
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Chapter 11: Logic
ps 11–1

Chapter 12: Difference Equations and Mathematical Models
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, Chapter 1
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Exercises 1.1
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6. Left 1, down
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2
1. Right 2, up 3 ps ps ps
y
y


(2, 3)
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x
x
(–1, – 25 )
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7. p s Left 20, up 40
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2. Left 1, up 4
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y
y

(–20, 40)
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(–1, 4) ps




x
x




8. p s Right 25, up 30
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3. Down 2
p s ps
y
y


(25, 30) ps




x
x
(0, –2) ps




9. Point Q is 2 units to the left and 2 units up or
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4. Right 2 ps


y (—2,2). ps




10. Point P is 3 units to the right and 2 units down or
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(3,—2).
x
(2, 0)
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11. —2(1) + (3) = —2 +1 = —1so yes the point is
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3
on the line. ps ps




5. Left 2, up 1 1 ps

12. —2(2) + (6) = —1 is false, so no the point is not
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y ps ps ps ps ps ps ps ps ps ps ps ps


3
on the line ps ps




(–2, 1)
x
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Copyright © 2023 Pearson Education, Inc.
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, Chapter 1: Linear Equations and Straight Lines
ps ps ps ps ps ps ISM: Finite Math
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1 ps
24. 0 = 5
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13. —2x + y = —1 Substitute the x and y ps ps ps ps p s ps ps ps ps
no solution ps

3 x-
coordinates of the point into the equation: ps ps ps ps ps ps
intercept: none Wh
f 1 hı f h
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' ,3 →—2 ' 1 ı +1(3)=—1→—1+1=—1 is
ps
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en x = 0, y = 5y-
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y' ı
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intercept: (0, 5) ps ps


2 J' ı y2J 3 pspsp s
ps
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a false statement. So no the point is not on theline.
ps ps ps ps ps ps ps ps ps ps ps 25. When y = 0, x = 7x-
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f 1h f1h intercept: (7, 0)0 ps ps ps ps



—2 ' ı + ' ı(—1) =—1 is true so yes the point is ps ps ps ps ps ps ps ps ps =7 ps



14. no solution ps


'y3 ıJ 'y3 Jı pspsps
y-intercept: none ps




on the line. ps ps
26. 0 = –8x
p s ps ps




15. m = 5, b = 8
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x=0 ps ps



x-intercept: (0, 0) ps ps



16. m = –2 and b = –6
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y = –8(0)
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y=0 ps ps



17. p s y = 0x + 3; m = 0, b = 3
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2 2 1 ps


18. y = x+0; m = , b = 0
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ps

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ps

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27. 0 = x –1 ps ps ps ps



3 3 3
x=3 ps ps




19. 14x+7y = 21
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x-intercept: (3, 0) ps ps


1 ps

7 y =—14x +21
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y = (0) – 1
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3
y = —2x +3
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y = –1ps ps



y-intercept: (0, –1)
20. x— y = 3
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ps ps ps ps y
—y =—x +3 ps ps ps ps




y = x —3
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(3, 0) ps

21. 3x =5
pspsp s ps ps
x
5 (0, –1) ps


x= ps ps


3
1 2 28. When x = 0, y = 0. ps ps ps ps ps ps


22. – x + y = 10 ps ps ps

2 3 When x = 1, y = 2. ps ps ps ps ps ps


2 1 ps ps y
y = x +10 ps ps ps


3 2
3 ps

y = x +15 ps ps ps
(1, 2) ps

4 x
(0, 0) ps



23. 0 = —4x +8ps ps ps ps




4x = 8 ps ps



x =2 ps ps


x-intercept: (2, 0) ps ps


y = –4(0) + 8
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y=8
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y-intercept: (0, 8) ps ps




1-2 Copyright © 2023 Pearson Education, Inc. ps ps ps ps ps