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

SOLUTIONMANUAL w




FiniteMathematics&ItsApplications
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13th Edition By Larry J. Goldstein,
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wChapters 1 - 12, Complete
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, Contents
Chapter1: LinearEquationsandStraightLines
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Chapter2: Matrices
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Chapter3: LinearProgramming,AGeometricApproach
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Chapter4: TheSimplexMethod
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Chapter5: SetsandCounting
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Chapter6: Probability
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Chapter7: ProbabilityandStatistics
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Chapter8: MarkovProcesses
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Chapter9: TheTheoryofGames
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Chapter10: TheMathematicsofFinance
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Chapter11: Logic
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Chapter12: DifferenceEquationsandMathematicalModels
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, Chapter1w




Exercises 1.1 5
6. Left 1,down
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1. 2
Right 2, up 3 w w w

y
y


(2, 3)
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x
x
w

2




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


y
y

(–20, 40)
(–1, 4)
w



w




x
x




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


y
y


(25, 30) w




x
x
(0, –2) w




9. Point Q is 2 units to the left and 2 units up or (—2,
4. Right 2
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w




y 2).
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10. Point Pis 3 units to theright and 2 units down or (3,—
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2).
x
(2, 0) 1
—2(1)+ (3)=—2+1=—1so yes the point is
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11. w w w w w w w w w w w




3
on theline.
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5. Left 2, up 1 1
—2(2)+ (6)=—1isfalse,sonothepointis not 3
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y 12. w w w w w w w w w w w w w




on the line
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(–2, 1) w




x




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1-1

, Chapter1:LinearEquations andStraight Lines
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1 24. 0 = 5
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13. —2x + w y =—1 Substitute the x and y 3
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no solution w




x-intercept: none w




coordinatesoff the pointinto the equation: When x = 0, y = 5
1h ı 1
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h
'yf1 ,3ı→—2 ' + (3)=—1 →—1+1=—1 is
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w




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y-intercept:(0, 5)
ı 'y2ıJ
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w




'
2 J 3
a false statement. So no the point isnot on the line.
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25. When y = 0, x = 7 w w w w w w




x-intercept: (7, 0) w w




f1h f1 h 0 =7 w w




14. —2' ı+ ' ı (—1)=—1 istruesoyesthepointis w w w w w w w w no solution w




y-intercept: none
'y3ıJ 'y3ıJ
w




w




w on the line. w w
26. 0 = –8xw w




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




x-intercept:(0,0) w w




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




y=0 w w




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




2 2 1
27. 0= x3–1
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18. y= w w
x+0; m= w w w
, b=0 w w w
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3 3
x=3 w w




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



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1
y= (0)–1
w




7y =—14x+21 w w w
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3
y =—2x +3 w w w



y = –1 w w




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




y = x—3 w w w




(3, 0) w




21. 3x=5 w w
x
5 (0, –1) w




x= w w




3
1 2 28. When x= 0,y= 0.
–
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22. 2 x + y =10 w w w w




3 w w When x = 1, y = 2.
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2 1 y
y = x+10
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w w w




3 2
3
y = x+15 w w

w

(1, 2) w




4 x
(0, 0) w




23. 0 =—4x +8 w w w




4x =8 w w




x =2 w w




x-intercept:(2,0) w w




y = –4(0) + 8
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y=8 w w




y-intercept:(0,8) w w




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