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

SOLUTION MANUAL b




Finite Mathematics &ItsApplications
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13thEditionbyLarryJ.Goldstein,
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Chapters1 -12,Complete
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, Contents
Chapter1: LinearEquationsandStraightLines
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Chapter2: Matrices
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Chapter3: Linear Programming, A Geometric Approach
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Chapter4: TheSimplexMethod
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Chapter5: SetsandCounting
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Chapter 6: Probability
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Chapter7: Probabilityand Statistics
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Chapter8: MarkovProcesses
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Chapter9: The Theory of Games
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Chapter10: TheMathematicsofFinance
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Chapter11: Logic
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Chapter12: DifferenceEquationsandMathematicalModels
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, Chapter1
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Exercises1.1 5
b



6. Left 1, down
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2
1. Right 2, up 3
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y
y


(2, 3)
b




x
x
( –1, –52 b b
)
b




7. Left 20, up 40
2. Left 1, up 4
b b b b




b b b

y
y

(–20, 40)
(–1, 4)
b



b




x
x




8. Right 25, up 30
3. Down 2
b b b b




b b

y
y


(25, 30) b




x
x
(0, –2) b




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




b




y (—2,2). b




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




(3,—2).
x
(2, 0)
b



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




b b b b b b b b b b b




3
on the line. b b




5. Left 2, up 1 1
12. —2(2)+ (6) =—1is false, so no the point is not
b

b b b


b b b b b b b b b b b b




y
3
on the line b b




(–2, 1) b




x



Copyright © 2023 Pearson Education, Inc.
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, Chapter 1: Linear Equations and Straight Lines b b b b b b ISM: Finite Math
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1 24. 0 = 5
b b b




—2x+ y =—1 Substitute the x and y
b




13 b b b b b b b b b



no solution
3
b




. x-intercept: none
coordinates ofthe point into the equation:
b




When x = 0, y = 5y-
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f 1 hı f h
' ,3 →—2 ' 1 ı +1(3)=—1→—1+1=—1 is
b b b b b b b b


b
b b




intercept: (0, 5)
y' ı 'y ıJ
b b b b b b b b b
b
b b




2J 2 3
b



b b
bb




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




line.
b intercept: (7, 0) 0 = b b b b




f 1h f1h 7 b




14 —2 ' ı + ' ı (—1)=—1 is true so yes the point is no solution
.
b b b b b b b b b
b




'y3 ıJ 'y3 ıJ y-intercept:none b




b bb




on the line. b b


26. 0 = –8x
b b b




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




x-intercept: (0,0) b b




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




y=0 b b




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




2 2 1
0 = x –1
b




y = x+0; m= , b=0 27
b b

b b b b




18 b b b b b b b b b b




3
3 3 .
. x =3 b b




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




1
b b b b b b




y = (0) –1
b




7y =—14x+21 b b b b b
b b b b




3
y =—2x +3
y = –1
b b b b




b b




y-intercept:(0,–1) b b




20 x — y =3b b b b
y
. —y =—x+3 b b b b




y = x— 3 b b b b




(3, 0)
21. 3x=5 x
b




bb b b b




5 (0, –1)
x=
b




b b




3
1 2
28. When x = 0, y = 0.
– x+ y =10
b b b b b b




22 2
b




3
b b




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




2 1 y
y = x+10
b b




b b b




3 2
3
y = x+15
b




b b b

(1, 2) b




4 x
(0, 0) b




23. 0 =—4x +8 b b b b




4x =8 b b




x =2 b b




x-intercept: (2,0) b b




y = –4(0) + 8
b b b b




y=8 b b




y-intercept: (0,8) b b




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