Solution manual for finite mathematics and its applications 13th edition larry j goldstein

SOLUTIONMANUAL i




FiniteMathematics&ItsApplications
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13thEditionbyLarryJ.Goldstein,
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Chapters1-12,Complete
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, Contents
Chapter 1: LinearEquations andStraightLines
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Chapter 2: Matrices
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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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Chapter10: TheMathematics ofFinance
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Chapter 11: Logic
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Chapter12: DifferenceEquationsandMathematicalModels
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, Chapter 1
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Exercises1.1 5
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6. Left 1, down
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2
1. Right 2, up 3
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y
y


(2, 3)
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x
x
( –1, –52 i i )
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7. Left 20, up 40
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2. Left 1, up 4
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y
y

(–20, 40) i

(–1, 4) i




x
x




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


(25, 30) i




x
x
(0, –2) i




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



y (—2,2). i




10. Point P is 3 units to the right and 2 units down or
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(3,—2).
x
(2, 0)
i
1 i



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




3
on the line. i i




5. Left 2, up 1 1 i




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




(–2, 1) i

x



Copyright © 2023 Pearson Education, Inc.
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, Chapter 1: Linear Equations and Straight Lines
i i i i i i ISM: Finite Math
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1 i
24. 0 = 5
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13 —2x+ y =—1 Substitute the x and y i i i i i i i i i
no solution i


3
. x-intercept: none i


coordinates of the point into the equation: i i i i i i



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


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


i

2 J 2 3 ii i i




a false statement. So no the point is not on the
i i i i i i i i i i 25. When y = 0, x = 7 x-
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line.
i intercept: (7, 0)0 = i i i i




f 1h f1h 7 i




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

i ii




on the line. i i
26. 0 = –8x
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15. m = 5, b = 8 i i i i i i
x=0 i i




x-intercept: (0, 0) i i




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




y=0 i i




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




2 2 1 i




y = x+0; m= , b=0
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27 0 = x –1 i i i i


18 i i i i i i i i i i


3
3 3 .
. x =3 i i




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




1 i



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




3
y =—2x+3
y = –1
i i i i

i i




y-intercept: (0,–1) i i


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




y = x— 3 i i i i




(3, 0)
x
i


21. 3x =5
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5 (0, –1) i


x= i i




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


3
i i


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




2 i 1 i
y
y = x+10 i i i




3 2
3 i


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


4 x
(0, 0) i




23. 0 =—4x +8 i i i i




4x =8 i i




x =2 i i




x-intercept: (2, 0) i i




y = –4(0) + 8
i i i i




y=8 i i




y-intercept: (0, 8) i i




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