Solution Manual For Finite Mathematics and Its Applications, 13 Edition by Larry J. Goldstein, Verified Chapters 1 - 12, Complete Newest Version

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

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

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

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

Chapter 5: Sets and Counting
CF CF CF 5–1

Chapter 6: Probability
CF 6–1

Chapter 7: Probability and Statistics
CF CF CF 7–1

Chapter 8: Markov Processes
CF CF 8–1

Chapter 9: The Theory of Games
CF CF CF CF 9–1

Chapter 10: The Mathematics of Finance
CF CF CF CF 10–1

Chapter 11: Logic
CF 11–1

Chapter 12: Difference Equations and Mathematical Models
CF CF CF CF CF 12–1

, Chapter 1
CF




Exercises 1.1 5
CF

6. Left 1, down
C F CF CF C F




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


(2, 3)
CF



x
x
( –1, – 25 C F CF




)
CF




7. C F Left 20, up 40 CF CF CF


2. Left 1, up 4
CF CF CF
y
y

(–20, 40) CF

(–1, 4) CF




x
x




8. C F Right 25, up 30 CF CF CF


3. Down 2
C F CF
y
y


(25, 30) CF




x
x
(0, –2) CF




9. Point Q is 2 units to the left and 2 units up or
CF CF CF CF CF CF CF CF CF CF CF CF


4. Right 2 CF



y (—2,2). FC




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




(3,—2).
x
(2, 0)
CF
1 CF



11. —2(1) + (3) =—2 +1= —1so yes the point is
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3
on the line. CF CF




5. Left 2, up 1 1 CF




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

y
3
on the line CF CF




(–2, 1) CF

x



Copyright © 2023 Pearson Education, Inc.
CF CF CF CF CF 1-1

, Chapter 1: Linear Equations and Straight Lines
CF CF CF CF CF CF ISM: Finite Math
CF CF




1 C F
24. 0 = 5
C F CF CF




13 —2x + y = —1 Substitute the x and y CF CF CF CF C F CF CF CF CF
no solution CF


3
. x-intercept: none CF


coordinates of the point into the equation: CF CF CF CF CF CF



f 1 hı f h When x = 0, y =
' ,3 →—2 ' 1 ı +1(3)=—1→—1+1=—1 is
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FC
CF FC


5y-intercept: (0,
y' ı '
FC FC FC FC FC FC FC FC FC C F
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5)
ı
CF



2 J
C F
y2J 3 CF CF C F FC




a false statement. So no the point is not on
CF CF CF CF CF CF CF CF CF 25. When y = 0, x = 7
CF CF CF CF CF CF CF




theline.
CF FC x-intercept: (7, 0)
FC CF CF




f 1h f1h 0=7 FC CF CF




14 —2 ' ı + ' ı (—1) =—1 is true so yes the point is no solution
.
CF FC C F CF CF CF CF CF CF CF




'y3 ıJ 'y3 ıJ y-intercept: none CF

CF CF CF




on the line. CF CF
26. 0 = –8x
C F CF CF




15. m = 5, b = 8
C F CF CF CF CF CF
x=0 CF CF




x-intercept: (0, 0) CF CF




16. m = –2 and b = –6
C F CF CF CF CF CF CF
y = –8(0) CF CF




y=0 CF CF




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




3
CF




2 2 1 CF




y = x+0; m = , b =0
CF CF

27 0=x –1
CF CF CF FC


18 CF CF CF FC CF CF CF CF CF CF


3
3 3 .
. x=3 CF CF




19. 14x+7y =21
C F CF FC FC CF CF
x-intercept: (3, 0) CF CF




1 CF



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




3
y =—2x +3
y = –1
CF CF CF FC

CF CF




y-intercept: (0, –1) CF CF


20 x— y =3 CF CF CF CF
y
. —y =—x +3 CF FC CF FC




y = x —3 CF CF CF FC




(3, 0)
x
CF


21. 3x =5
CF CF C F CF FC




5 (0, –1) CF


x= CF CF




3
1 2
28. When x = 0, y = 0.
– x+ y =1 0
CF CF CF CF CF CF



22 2
CF


3
CF FC


When x = 1, y = 2.
. CF CF CF CF CF CF




2 C F 1 CF
y
y= CF CF x +10 CF




3 2
3 CF


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


4 x
(0, 0) CF




23. 0 = —4x +8CF CF CF FC




4x = 8 CF CF




x =2 CF CF




x-intercept: (2, 0) CF CF




y = –4(0) + 8
CF CF CF CF




y=8 CF CF




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