SOLUTION MANUAL For Finite Mathematics & Its Applications 13th Edition by Goldstein, All Chapters (1– 12) ||Complete

SOLUTION MANUAL xi




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

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

Chapter 3: Linear Programming, A Geometric Approach
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Chapter 4: The Simplex Method
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Chapter 5: Sets and Counting
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Chapter 6: Probability
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Chapter 7: Probability and Statistics
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Chapter 8: Markov Processes
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Chapter 9: The Theory of Games
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Chapter 10: The Mathematics of Finance
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Chapter 11: Logic
xi 11–1

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




Exercises 1.1 5
xi
6. Left 1, down
x i xi xi x i


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



(2, 3)
xi


x
x
( –1, x i –xi25

)
xi




7. x i Left 20, up 40 xi xi xi

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

(–20, 40) xi
(–1, 4) xi




x
x




8. x i Right 25, up 30 xi xi xi

3. Down 2
x i xi
y
y


(25, 30) xi




x
x
(0, –2) xi




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

4. Right 2 xi


y (—2, 2). xi




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



(3,—2).
x
(2, 0)
xi
1 xi

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


3
on the line. xi xi




5. Left 2, up 1 1 xi


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




(–2, 1) xi
x



Copyright © 2023 Pearson Education, Inc.
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, Chapter 1: Linear Equations and Straight Lines
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xi xi




1 xi 24. 0 = 5
x i xi xi


13 —2x + y = —1 Substitute the x and y xi xi xi xi x i xi xi xi xi
no solution xi

3
. x-intercept: none xi

coordinates of the point into the equation: xi xi xi xi xi xi


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

5y-intercept: (0,
y' ı '
ix ix ix ix ix ix ix ix ix x i xi ix xi



5)
ı
xi

xi
2 J y2J 3 xi xi x i ix



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



theline.
xi ix 7 x-intercept: (7,
xi ix xi




f 1h f1 h 0)0 = 7xi ix xi xi



14 —2 ' ı + ' ı (—1) =—1 is true so yes the point is xi ix x i xi xi xi xi xi xi no solution
. xi




'y3 ıJ 'y3 Jı y-intercept: none xi

xi xi xi



on the line. xi xi
26. 0 = –8x
x i xi xi




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


x-intercept: (0, 0) xi xi




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



y=0 xi xi



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



3
xi




2 2 1 xi


y=
xi

x +0; m = , b = 0
xi
27 0= x –1
xi xi xi ix

18 xi xi xi ix xi xi xi xi xi xi

3
3 3 .
. x=3 xi xi




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


1 xi

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


3
y = —2x +3 xi xi xi ix
y = –1
xi xi


y-intercept: (0, –1) xi xi

20 x— y =3
xi xi xi xi
y
. —y =—x +3 xi ix xi ix




y = x —3 xi xi xi ix




(3, 0) xi

21. xi xi x i 3x =5 xi xi
x
5 (0, –1) xi

x= xi xi


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

22 – x+ xi y =1 0 xi ix


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


2 xi 1 xi y
y= xi xi x +10 xi


3 2
3 xi

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

4 x
(0, 0) xi




23. 0 = —4x +8 xi xi xi ix




4x = 8 xi xi



x =2 xi xi


x-intercept: (2, 0) xi xi


y = –4(0) + 8
xi xi xi xi


y=8 xi xi




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