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Answers

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Answers All rights reserved. A34

Extension 6.5 Warm Up For use before Extension 6.5

1–6.

Extension 6.5 Practice

1. a. ( )3, 2− b. ( )3, 2−

2. a. ( )5, 2 b. ( )5, 2− −

3. a. ( )3, 4− − b. ( )3, 4

4. a. ( )1, 4− b. ( )1, 4−

5. a. ( )3, 0 b. ( )3, 0−

6. a. ( )0, 6 b. ( )0, 6−

7. a. 1

2 , 42

−

b. 1

2 , 42

−

8. a. ( )2.5, 3.5− − b. ( )2.5, 3.5

9. a. 1 1

, 42 2

− −

b. 1 1

, 42 2

10. ( )5, 3− − 11. ( )3, 1− 12. 1

5, 42

− −

13. ( )1.5, 4− 14. ( )6, 2 15. ( )3.5, 8.5− −

16. a. ( )2, 1− b. 2 units

17. a. ( )3, 2.5 b. 6 units

18. ( )3, 4

19. a. ( ) ( ) ( ) ( )0, 0 , 5, 0 , 8, 2 , and 3, 2− −

b. ( ) ( ) ( ) ( )0, 0 , 5, 0 , 8, 2 , and 3, 2− − −

Technology Connection

1. 3 61 3 2 61 38 , 8, , 1.1, 1, , , , 8, 8

7 8 11 9 8 7− − − − − − −

2. 3 9 6 1 164 , 4.6, , 4, 0.98, 1, , 5.1, 5 ,

4 2 5 9 3− − − −

Chapter 7 7.1 Start Thinking! For use before Activity 7.1

Sample answer: You bought 3 pounds of apples at $2 a pound; The expression ( )3 2 equals 6.

7.1 Warm Up For use before Activity 7.1

1. 60 mi 2. 280 in. 3. 2 mi

7.1 Start Thinking! For use before Lesson 7.1

Answers will vary. Sample answer: Advantages are that you need to understand the problem in order to rewrite it, and the language is probably simpler and easier to understand. Disadvantages are that you may introduce errors by copying numbers incorrectly or not include all of the necessary information.

7.1 Warm Up For use before Lesson 7.1

Answers will vary. Sample answers: 1. How far do you walk for 30 minutes at 15 minutes

per mile? 2 mi

2. What is 2

3 of 99 pitches? 66 pitches

7.1 Practice A

1. Sample answer: You type at a steady rate of 20 words per minute for 48 minutes to enter your report on a computer. How many words long is your report? 960 words

2. Sample answer: A park is 6 miles from your home. You and your friend ride your bikes at a steady rate for one-half hour to get home from the park. What was your riding rate? 12 miles per hour

3. 16

4 16 or 4= ÷ =nn

4. 5 11+ =k 5. 2 7− =x

y

x−8−6−4 O 2

2

−4

−6

−8

8

4 6 8

TUX

Y W

V

Answers

Copyright © Big Ideas Learning, LLC Big Ideas Math Green All rights reserved. Answers

A35

6. 7 42=a 7. 1

63

= s

8. 13 17+ =t 9. 5 16− =b

10. 30 6= y 11. 7 4 or 47

÷ = =zz

12. 5 8+ =m

13. The number that should be multiplied by x is 8, not 24; 24 8= x

14. 217 36− =n 15. 4 72=n

16. 0.6 27=h

17. 4070 2710 8180+ + =p

7.1 Practice B

1. 17 41n= −

2. 168

168 14 or 14÷ = =xx

3. 17 153=s 4. 37 112+ =b

5. 23 61= ÷t 6. 114 37= +g

7. 46 33− =a 8. 1

225

=d

9. 9 36x = 10. ( )1108 12

2= x

11. ( )10 520 0.25=w

12. ( ) ( )2 25 12 10 23 200+ + + =p

13. 1 1 1

242 2 2

= +

h h 14. ( )6 27 8 626+ =m

15. a. Because 3 to 10 fibers are used for each thread, it isn’t possible to write an equation to find the exact total length of the fibers.

b. Sample answer: Using 6 fibers, an equation is

7.1 Enrichment and Extension

1. 2 7 23+ =n 2. 210 9− =p

3. 8− =x y 4. 2 2 4+ =x y

5. Maria

6. The variable x is not squared. The only number being squared is 2.

7. Sample answer: A number x plus 2 quantity squared is equal to 9.

8. Sample answer: Three minus a number x quantity squared is equal to 4.

7.1 Puzzle Time

IT SEEMS NO ONE CAN EAT JUST ONE POTATO SHIP

7.2 Start Thinking! For use before Activity 7.2

Sample answer: You can represent the situation with an equation. Assume that your scale reads 133 pounds for your combined weight and 100 pounds for your weight alone. Then you would solve the equation 100 133w+ = to find the weight w of your pet.


1. 5 2. 20 3. 15

4. 8 5. 0 6. 14


Addition and subtraction are inverse operations. Multiplication and division are inverse operations. Inverse actions are:

1. Button 2. Descend 3. Withdraw 4. Turn on

Examples will vary.


1. 3n = 2. 4r = 3. 3p =

4. 6t = 5. 7d = 6. 4x =

7.2 Practice A

1. yes 2. yes 3. no 4. no

5. 14=x 6. 12=y 7. 17=q

8. 36=f 9. 2=s 10. 4.9=r

11. 1.6=v 12. 1

3=n 13.

5

12=g

14. You must subtract 13 from both sides of the equation.

13 56

13 13

43

+ =− −

=

m

m

300 6.= ÷

Answers


15. You must add 15 to both sides of the equation.

27 15

15 15

42

= −+ +

=

n

n

16. 20 8 ; 12= + =y y 17. 12 15; 3+ = =x x

18. 4 9; 13− = =g g 19. 10 3; 13− = =w w

20. Let x be the height of the desk in inches; 11 41; 30; 30 in.+ = =x x

21. Let h be the average height in inches of the Northern Mockingbird; 20 30;+ =h

10; 10 in.=h

22. Let p be the price of the cell phone before the rebate; 50 149;− =p 199; $199.=p

7.2 Practice B

1. yes 2. no 3. yes 4. yes

5. 13.4 2.6; 16− = =a a

6. 27 3.5; 30.5− = =h h

7. 46 2.5 ; 43.5= + =z z

8. 4.7 10.9; 6.2+ = =b b

9. 208=x 10. 103=j 11. 1

5=a

12. 28=n 13. 59=v 14. 47=c

15. 61=y 16. 84=e 17. 5=

18. 13 5 30; 12; 12 in.+ + = =x x

19. 10 15 10 43; 8; 8 m+ + + = =x x

20. 5 5 16; 6 ft+ + = =x x

21. a. 1.56 2.19,m − = 3.75, $3.75;=m

2.36 3.75, 1.39, $1.39;+ = =e e

3.20 1.39, 4.59, $4.59− = =c c

b. $0.08

22. 10 5.80 33.19; 48.99; $48.99− − = =c c


1. yes 2. no 3. yes 4. no

5. no 6. no 7. yes 8. yes

9. Sample answer: 3 13 and 7 17+ = + =x x

10. Sample answer: 2 5 and 4 3− = − =x x

11. 8 10 9 3 40; 10+ + + + = =x x

12. 3 1

2.5 1 3 2 12; 2.54 4

+ + + + = =x x

7.2 Puzzle Time

MICE KRISPIES


Sample answer: Your friend has 4 movie tickets and together you have 12 tickets. How many movie tickets do you have?


1. 3x = 2. 8y = 3. 24z =

4. 28a = 5. 13b = 6. 16c =


Sample answer: If you know the distance and time it takes, you can plug in the distance d and time t into the equation d rt= and solve for r. If you want to find the rate in miles per hour, be sure to use distance in miles and time in hours.


1. 41x = 2. 2w = 3. 11b =

4. 42v = 5. 60p = 6. 104k =

7.3 Practice A

1. 18=x 2. 16=t 3. 80=w

4. 42=s 5. 3=a 6. 5=d

7. 3=m 8. 2=g 9. 8=y

10. 21=n 11. 44=v 12. 35=c

13. 11=b 14. 150=h 15. 2.5=k

16. 30=r

Answers


A37

17. Both sides should be divided by 9.

39

9 9 39

27

=

• = •

=

x

x

x

18. Both sides should be divided by 4.

4 32

4 32

4 48

• =• =

=

zz

z

19. 36 4 ; 9 students= s 20. 384 12 ; 32 weeks= w

21. 352; 2816 calories8

=c

22. 7.25; 58 points8

=s

23. 36 576; 16 cm;=w the area is given in square

centimeters, and the length is given in centimeters, so the width must be in centimeters also.

7.3 Practice B

1. 13=a 2. 140=s 3. 4=p

4. 108=g 5. 108=v 6. 6.5=x

7. 61.56=c 8. 9.5=b 9. 7 units=x

10. 14 units=x 11. 5 unitsx =

12. Use the perimeter formula, 4 ,P s= to write an equation, then solve for s. The side length is 25 yards.

13. Sample answer: The price of gas is $3.299 per gallon;

3.299; 49.485;15

= =p p it costs $48.49 to fill the

empty tank.

14. 20% 15. 16 cups

16. $2.70; Sample answer: Write and solve an equation to find the weight w of each biscuit: 25 0.75;=w

0.03 lb.=w Multiply to find the weight of

40 biscuits; ( )40 0.03 1.2 lb.= Then multiply

to find the price of 1.2 pounds of biscuits: ( )1.2 2.25 $2.70.=


1. 7

9 2.

2

3 3.

4

11

4. 17

33 5.

43

99 6.

1

11

7. 89

499

8. 245

333 9.

29

999

10. Let 0.23.

10 2.333

0.2333

9 2.1

90 21

90 21

90 907

30

==

− ===

=

=

xxxxxx

x

7.3 Puzzle Time

IF THIS HEAVY RAIN KEEPS UP MY NAME WILL CHANGE AND I WILL BE CALLED MUD


Sample answer: The cost of seven zoo tickets is $42. How much does each ticket cost?


1. 5x = 2. 7y = 3. 39z =

4. 8a = 5. 3b = 6. 8c =


The variable y depends on x. So, the independent variable is x and the dependent variable is y.


1. 2 12;P w= + The perimeter P depends on the

width w of the parallelogram.

2. 9 ;A w= The area A depends on the width w of the

rectangle.

3. 6 ;A h= The area A depends on the height h of the

triangle.

Answers


7.4 Practice A

1. 2 8; perimeter;P w P= + = width of side;w =

P depends on the value of .w

2. 5 ; area; height;A h A h= = = A depends on the

value of .h

3. no 4. yes 5. yes 6. yes

7. The length is the independent variable. The perimeter P is the dependent variable.

8. The number of pianos p is the independent variable.

The number of keys k is the dependent variable.

9. a. 3 2f g= +

b. The number of guests g is the independent

variable. The number of food items f is the

dependent variable.

10. a. 300 10t m= −

b. The number of members m is the independent variable. The number of remaining tickets t is the dependent variable.

11. ( )2, 9 12. ( )3, 6

13. Sample answer: 2y x= +

14. Sample answer: 4 1y x= −

7.4 Practice B

1. 16 2 ; perimeter;P b P= + =length of base;b = P depends on the value of .b

2. 2 ; area; base;A b A b= = = A depends on the

value of .b

3. Both x and y were given the value of 2, but y gets the value 6.

( )( )

( )

5 4; 2, 6

6 5 2 4

6 6

2, 6 is a solution.

y x= −

= −

=

4. Sample answer: the amount of money you earn

5. Sample answer: the number of stores where you shop

6. a. 14 2c v= +

b. The number of additional video rentals v is the independent variable. The monthly cost c is the dependent variable.

7. ( )0, 5 8. ( )2, 3

9. 96 emails


1. The solutions are ( ) ( )9, 20 and 3, 2 .A C

2. The solutions are ( ) ( )7, 2 and 10, 5 .B C

3. The solutions are ( ) ( ) ( )0, 2 , 2, 1 and 4, 0 .A B C

4. The solutions are ( ) ( )25, 40 and 10, 10 .B C

7.4 Puzzle Time

MUSSELS

y

x1210

2

4

6

8

10

12

14

16

18

20

14 16 18 202 4 6 8

A(9, 20)

C(3, 2)

y

x65

1

2

3

4

5

6

7

8

9

10

7 8 9 101 2 3 4

B(7, 2)

C(10, 5)

y

x3

1

2

3

4

5

4 51 2

B(2, 1)

A(0, 2)

C(4, 0)

y

x30

10

20

30

40

50

40 5010 20

A(25, 40)

C(10, 10)

Answers


A39


Equality means equal, in- means not; Sample answer: inaccurate, inappropriate, inattentive, incombustible, incompatible, incomplete, inconsiderate, inconsistent, incorrect, incurable, indefinite, independent, indestructible, indirect, inedible, ineffective, inexpensive, inflammable, informal, insane, insignificant, invisible


1. < 2. > 3. <

4. > 5. = 6. <


Sample answer: A speed limit is the fastest that you are allowed to drive; in a school zone, the speed that you are allowed to drive can be written using the inequality 15.≤s


1. B 2. C 3. A 4. D

7.5 Practice A

1. 2 > v 2. 15≤h 3. 1

2<p

4. 12 < n 5. 3

5≥ a 6. 17≤b

7. 6 12+ ≥x 8. 7 10− >k

9. solution 10. not a solution 11. not a solution

12. not a solution 13. solution 14. solution

15.

16.

17.

18.

19.

20.

21.

22.

23.

24. Let p be the number of people that the lifeboat can carry; 24.≤p

25. a. 16 50≤u

b. no; Sample answer: 4 is not a solution of 16 50.≤u

26. a. Let w represent the number of pounds of potatoes the box can hold; 25;≤w

b. yes

c. Sample answer: any number greater than 25

7.5 Practice B

1. 3.5 21≥b 2. 9 4÷ >y 3. 1

04

− ≤h

4. 2.56 10.24+ ≥w 5. 6 12<c

6. solution 7. not a solution 8. not a solution

9. solution 10. not a solution 11. solution

12. Sample answer: 2;x < A number x is less than 2.

13. Sample answer: 1;k ≥ − A number k is at least 1.−

14.

15.

16.

17.

18.

19.

20. Let h be the height of a vehicle that can travel on the highway; 7.75;<h

21. a. Scrambler: 48;≥h Busy Boats: 48≤h

b. 48 inches

22. numbers that are greater than 2 and less than or equal to 8

0 1 1 213

23

13 12

3

−2−3 −1 0 1 2 3

0 1 2 3 4 5 6

0 5 10 15 20 25 30

−7−8−9−10−11 −6 −5

−12−18−24 −6 0 6 12

0 2 4 6 8 10

−2−3 −1 0 1 2 3

0 1 2 3 4 5 6

−2−3 −1 0 1 2 3

2 3 4 5 6 7 8

−2 −1 0 1 2 3 4

−2 −1 −−−1−1 013

23

13

23

3 4 5 6 7 8 9

−2−3 −1 0 1 2 3

−56−57−58−59−60 −55 −54

−2−3 −1 0 1 2 3

Answers



1. 1, 2, 3, 4, 5 2. 3, 4, 5, 6, 7, 8

3. 4, 5, 6, 7, 8, 9, 10 4. 1,− 0, 1, 2

5. D 6. C 7. A 8. B

9.

10.

11.

12.

13.

14.

15.

no; The two inequalities that make up the compound inequality do not share a common solution.

7.5 Puzzle Time

COTTAGE CHEESE


Sample answer: You have less than the required 20 paid rentals to get a free rental.


1.

2.

3.

4.

5.

6.


2 22; 20x x+ ≤ ≤


1. 4;x <

2. 9;h >

3. 5;y ≤

4. 15;p ≥

5. 11;≤k

6. 6;b >

7.6 Practice A

1. 11;n ≥

2. 4;v ≤

3. 1;p <

4. 11;x >

5. 5;k >

6. 1;m ≥

7. 20;h ≤

8. 2;b <

9. 100;w ≤

4 5 6 7 8 9 10 11 12

−2 0 2 4 6 8−4

−2 0 2 4 6 8−4

−2 0 2 4−4−6−8

0 2 4 6 8 10 12

0 5 10 15 20 25 30

0 2 4 6 8 10 12

8 9 10 11 12 13 14

0 1 2 3 4 5 6

−2 −1 0 1 2 3 4

17 18 19 20 21 22 23

97 98 99 100 101 102 103

10 32 4 5 6 7−1

1 32 4 5 6 7 8 9

10 32 4 5 6 7−1

−4 −3 −2−7 −6 −5 −1 0 1

100 3020 40 50 60 70 80

−4 −3 −2 −1 0 1 2 3 4

−2 0 2 4 6 8−4

−2 0 2 4 6 8−4

−2 0 2 4 6 8−4

−2 0 2 4 6 8−4

0 2 4 6 8 10 12

0 2 4 6 8 10 12

−2 −1 0 1 2 3 4

8 9 10 11 12 13 14

0 1 2 3 4 5 6

−1 0 1 2 3 4 5

Answers


A41

10. 9;a ≥

11. 2;r >

12. 70;y <

13–16. Choice of variables may vary.

13. 6 10; 4+ ≤ ≤d d 14. 4 3; 7− > >x x

15. 0.6 2.4; 3≥ − ≤n n

16. 14 18; 4+ ≥ ≥z z

17. The inequality sign should not change; 7 or 7.> <g g

18. Five should be subtracted from both sides of the equation.

5 11

5 5

6

+ ≥− −

≥

x

x

19. Let d be the amount you can spend on the cold drink: 6.75 10; 3.25;+ ≤ ≤d d You can

spend up to $3.25.

20. Let n be the number of days for your books to arrive; 9 28; 19;+ ≥ ≥n n at least 19 days.

21. Let p be the number of people who can attend the play; 185 480; 295;+ ≤ ≤p p at most

295 people.

7.6 Practice B

1. 3;x ≥

2. 12;c <

3. 11;q >

4. 31.6;t ≤

5. 3

13 ;8

z >

6. 3

;5

g ≤

7. 0;k ≥

8. 2

5 ;3

x <

9. 1

;6

u ≤

10. 132;y <

11. 3

;8

d ≤

12. 4.4;h >

13–17. Choice of variables may vary.

13. 4.5 8; 12.5− > >k k

14. 3 1

2; 14 4

+ ≤ ≤x x

15. 9.1 4.6; 13.7− < <m m

16. 7 1 1

3 ; 412 2 12

− ≥ ≥n n

17. 1 1 3

5 2 ; 34 10 20

> + <y y

876 9 10 11 12

0 1 2 3 4 5 6

−2−3 −1 0 1 2 3

−1 0 1 2 3 4 5

67 68 69 70 71 72 73

8 9 10 11 12 13 14

8 9 10 11 12 13 14

29 30

31.6

31 32 33 34 35

11 12 13

13

14 15 16 17

38

−1−2 0 1 2 3 4

35

2 3 4 5 6 7 8

523

−2−3 −1 0 1 2 3

16

130 131 132 133 134 135 136

−2−3 −1 0 1 2 3

38

0 1 2 3 4 5 6

4.4

Answers


18. 1;a <

19. 5.5;n >

20. 26.6;v ≥

21. Let d be the number of degrees the temperature must rise; 135 165; 30;+ ≥ ≥d d at least

30 degrees.

22. Let n be the number of additional phone numbers; 21 50; 29;+ ≤ ≤n n up to 29 additional phone

numbers.

23. 1.1


1. 3 6;x< <

2. 0 4;x≤ ≤

3. 7 11;x< ≤

4. 4 8;x≤ <

5. 4 or 6;x x< >

6. 3 or 5;x x≤ ≥

7. 7 or 0;x x≥ <

8. 3 or 4;x x< ≥

9. The solution is the entire number line.

7.6 Puzzle Time

I’M SORRY SIR SAID THE ATTENDANT THE MOON IS FULL RIGHT NOW


Sample answer: Each has 5x on the left-hand side and 20 on the right-hand side of the equation or inequality. To solve 5 20,x = divide each side by 5. The solution is 4.x =


1. 2x < 2. 24y > 3. 13r ≤

4. 13c ≥ 5. 5s < 6. 5x ≤


Sample answer: This week, Shelley hopes to spend less than $3.50 on text messages. If each text message costs $0.20, what are the possible numbers of text messages Shelley should send this week?


1. 8;x >

2. 2;t ≥

3. 9;n ≤

4. 3;f <

5. 6;b >

6. 0;y ≤

7.7 Practice A

1. 18;b >

2. 8;w <

3. 10;p ≤

10 32 4 5 6 7−1 0 2 4 6 8 10 12

0 2 4 6 8 10 12

−2 0 2 4 6 8−4

8 9 10 11 12 13 14

−1−2 0 1 2 3 4

2 3 4 5 6 7 8

5.5

24 25 26 27 28 29 30

26.6

10 32 4 5 6 7−1

4 5 6 7 8 9 10 11 12

4 5 6 7 8 9 10 11 12

1 32 4 5 6 7 8 9

1 32 4 5 6 7 8 9

10 32 4 5 6 7−1

10 32 4 5 6 7−1

0 2 4 6 8 10 12

0 2 4 6 8 10 12

0 2 4 6 8 10 12

15 16 17 18 19 20 21

5 6 7 8 9 10 11

Answers


A43

4. 36;n ≥

5. 20;x >

6. 5;a <

7. 84;g ≤

8. 153;k ≥

9. 0;h ≤

10. 25;v ≥

11. 3;t >

12. 35;m <

13. 8;y ≥

14. 60;r ≤

15. 78;c <

16. 7;s >

17. 4; 5614

≥ ≥q q 18. 21 126; 6≤ ≤u u

19. 7 12; 84÷ ≥ ≥z z 20. 22 5; 110÷ > >a a

21. 13 117; 9≤ ≤g g

22. You must divide both sides by 5.

5 10

5 10

5 5

2

<

<

<

xx

x

23. You must divide both sides by 2, not subtract 2.

2 28

2 28

2 214

≥

≥

≥

nn

n

24. Let b be the number of bags of soil the wheelbarrow can carry; 20 300; 15;≤ ≤b b

at most 15 bags of soil.

25. Let be the length of the table; 3 24; 8;> ≥

at least 8 feet.

26. Let s be the number of steps; ( )8 10 12 ; 15;≥ ≥s s

at least 15 steps.

7.7 Practice B

1. 8;m ≤

2. 5;v ≥

3. 1

;4

b >

4. 1

7 ;2

x <

5. 2.5;h ≥

6. 126;u ≤

7. 12.4;r <

33 34 35 36 37 38 39

81 82 83 84 85 86 87

150 151 152 153 154 155 156

−2−3 −1 0 1 2 3

22 23 24 25 26 27 28

4 5 6 7 8 9 10

56 57 58 59 60 61 62

6 7 8 9 10 11 12

432 5 6 7 8

122 123 124 125 126 127 128

17 18 19 20 21 22 23

0 1 2 3 4 5 6

0 1 2 3 4 5 6

3332 34 35 36 37 38

7675 77 78 79 80 81

4 5 6 7 8 9 10

−1 − 1 212

12 11

20

14

4 5 6 7 8 9 10

712

−2 −1 0 1 2 3 4

2.5

12 12.2 12.4 12.6 12.8 13 13.2

Answers


8. 2.4;a >

9. 9;p >

10. 7

;10

k <

11. 40.5;y ≤

12. 0.5;g ≥

13. 1

7 ;2

n <

14. 8;c >

15. 2.5;s ≥

16. 3.6;w ≤

17. 10 2.01; 0.201≥ ≥q q

18. 2

18 ; 123

÷ ≤ ≤z z

19. 3.43; 27.448

≤ ≤d d

20. 5 12; 2.4> >t t 21. 1 1

3 ;12 4

÷ < <b b

22.

23.

24.

25.

26. Let x be each person’s share of the rental cost each month; 3 1200; 400;≥ ≥x x at least

$400 per month.

27. Let m be the number of minutes required to print a 380-page report; 80 380; 4.75;≥ ≥m m at least

4.75 minutes.

28. Let r be the number of rest stops in 200 miles of highway; 25 200; 8;≥ ≥r r at least 8 rest stops.


1. 2 6;x< <

2. 3 5;x≤ ≤

3. 12 24;x≤ <

4. 6 8;x< ≤

5. 5 or 4;x x> <

6. 3 or 6;x x≤ ≥

7. 10 or 4;x x> ≤

8. 2 or 3;x x< ≥

9. The graphs for Exercises 1–4 share common solutions. The graphs for Exercises 5–8 do not.

7.7 Puzzle Time

ONE PAW AND MAW

Technology Connection

1. 7x = 2. 4t = 3. 20y = −

4. 6n = − 5. 42r = 6. 18x =

3.43.23.0 3.6 3.8 4.0 4.2

−1 0 1 2 3 4 5

10 32 4 5 6 7−1

10 32 4 5 6 7−1

2 2.2 2.4 2.6 2.8 3 3.2

876 9 10 11 12

0 0.2 0.4 0.6 0.8 1 1.2

710

38 39 40 41 42 43 44

40.5

−2−3 −1 0 1 2 3

0.5

4 5 6 7 8 9 10

712

5 6 7 8 9 10 11

−2 −1 0 1 2 3 4

2.5

876 9 10 11 12

43 5 6 7 8 9

4 5 6 7 8 9 10

10 32 4 5 6 7−1

−4 0 4 8 20 24 2812 16

4 5 6 7 8 9 10 11 12

10 32 4 5 6 7−1

3 4 5 6 7 8 9 10 11

10 32 4 5 6 7−1

Documents

mscc6rb RBC Ans a - smgman-mi.org