Solution Manual for Finite Mathematics and Its Applications (13th Edition) – Larry J. Goldstein – Full Solutions (Chapters 1–12)

SOLUTION MANUAL c




Finite Mathematics & Its Applications
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13th Edition by Larry J. Goldstein,
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Chapters 1 - 12, Complete
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, Contents
Chapter 1: Linear Equations and Straight Lines
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Chapter 2: Matrices
c 2–1

Chapter 3: Linear Programming, A Geometric Approach
c c c c c 3–1

Chapter 4: The Simplex Method
c c c 4–1

Chapter 5: Sets and Counting
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Chapter 6: Probability
c 6–1

Chapter 7: Probability and Statistics
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Chapter 8: Markov Processes
c c 8–1

Chapter 9: The Theory of Games
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Chapter 10: The Mathematics of Finance
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Chapter 11: Logic
c 11–1

Chapter 12: Difference Equations and Mathematical Models
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, Chapter 1
c




Exercises 1.1
c 5
6. Left 1, down
c c c c

2
1. Right 2, up 3 c c c
y
y



(2, c3)
x
x
( –1, c – c25

)
c




7. c Left 20, up 40
c c c
2. Left 1, up 4
c c c
y
y

(–20, c40)
(–1, c4)
x
x




8. c Right 25, up 30 c c c
3. Down 2
c c
y
y


(25, c30)
x
x
(0, c–2)




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

y (—2, 2). c




10. Point P is 3 units to the right and 2 units down or
c c c c c c c c c c c c


(3,—2).
x
(2, c0) 1 c

11. —2(1) + (3) = —2 +1 = —1so yes the point is
c c c c c c c c c c c

3
on the line. c c




5. Left 2, up 1 1 c

12. —2(2) + (6) = —1 is false, so no the point is not
c c c
c c c c c c c c c c c c
y
3
on the line c c




(–2, c1)
x



Copyright © 2023 Pearson Education, Inc.
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, Chapter 1: Linear Equations and Straight Lines
c c c c c c ISM: Finite Math
c c




1 c 24. 0 = 5
c c c

13 —2x c+ c y c =c—1 c Substitute c the c x c and c y no solution c
3
. x-intercept: none c
coordinates of the point into the equation: c c c c c c

f 1 ıh f h When x = 0, y =
' ,3 →—2 ' 1 ı +1 (3)=—1 → —1+1=—1 is
c c c c c c
c c c
5y-intercept: (0,
y' ı '
c c c c c c c c c c c c c


5)
ı2 J
c
c y2J 3 cc c c


a false statement. So no the point is not on
c c c c c c c c c 25. When y = 0, x =
c c c c c c


ctheline. c 7 x-intercept: (7,
c c c



f 1h f1 h 0)0 = 7
c c c c


14 —2 ' ı + ' ı (—1) =—1 is true so yes the point is c c c c c c c c c no solution c
.
'y3 ıJ 'y3 Jı y-intercept: none c
c cc


on the line. c c
26. 0 = –8x
c c c



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

x-intercept: (0, 0) c c


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


y=0 c c


17. c y = 0x + 3; m = 0, b =
c c c c c c c c c
y-intercept: (0, 0) c c


3
c




2 2 1 c

y=
c
x +0 ; m = , b = 0
c
27 0= x –1
c c c c
18 c c c c c c c c c c
3
3 3 .
. x=3 c c



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

1 c

7 y = —14x + 21 c c c c c y = (0) – 1
c c c c

3
y = —2x +3
c c c c
y = –1
c c

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


y = x —3c c c c


(3, c0)
21. 3x = 5
cc c c c
x
5 (0, c–1)
x= c c

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

22 – x+ c y = 10 c c

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

2 c 1 c y
y= c c x +10 c

3 2
3 c
y= c c x +15 c
(1, c2)
4 x
(0, c0)

23. 0 = —4x +8
c c c c


4x = 8 c c


x =2 c c

x-intercept: (2, 0) c c

y = –4(0) + 8
c c c c

y=8 c c




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