Lesson Warm Up 45 1. y-intercept 2. Slope: , y-int: -2 3. 1465 4. y = -4x ...
Lesson Warm Up 45
c. r ≈ 0.76, Sample: 590 members
2. Slope:
Number of Members
1. y-intercept 1 _ , 2
45
y-int: -2
3. 1465 4. y = -4x - 3
700 600 500 400 300 200 100 0
1 2 3 4 5 6 7 8 9 Year After 2000
5. negative Lesson Practice 45
Incorrect Answers
a. Negative correlation, Possible answer: 1 x + 5, For every y = -_ 4 increase of four minutes in studying, there is a decrease of one incorrect answer. 6 5 4 3 2 1 0
4 8 12 16 Minutes Studied
20
Heating Bill
b. r ≈ -0.8, Sample: $78 120 100 80 60 40 20 0
20 40 60 Temperature
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 45–1
Saxon Algebra 2
Lesson Practice 45
11. D Children Tickets
12.
1. a. and b. 0 -10 -20 -30 -40 -50 -60 -70
1 2 3 4 5 6 7 8 9
20 1 c. y = _ x - 73 _ 3 3
2. r ≈ -0.71, there is a moderate negative correlation between the weight and price of a bicycle. 2 square units 3. 21 _ 3 9! = 1,260 4. displays: _ 4!3!2!
3 6. -9 √ 3 - 70 7. 48 √
9. 10.
4
√ 3 _
10 14 √ 3 _
8 12 16 Adult Tickets
The point (6, 15) is not in the shaded region, so the tourists can not buy 6 adult tickets and 15 children’s tickets. 13. The value of the correlation coefficient cannot exceed 1. 3
14.
2
2
3
x + 3ax + 3a x + a __
2
5. 16 + 40 = 256 + 1600 = 1856 2 and 43 = 1849
8.
;
27 24 21 18 15 12 9 6 3 0
2
45
x
3
15. Roots of negative numbers exist when the index of the radical is an odd number. They are undefined when the index is an even number. 4 2 _ 16. _ s = 5
45 √ 6 _
9
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 45–2
Saxon Algebra 2
Lesson a 17. If rational number _ b is equal to rational f(x) expression _ , both g(x)
45
23. 6 outcomes: A1, A3, A5, E1, E3, E5 24. π
f(x) = a and g(x) = b. 3
2
18. x - 3x + 3x - 1 3
2
19. x + 15x + 75x + 125 20. A 21. The student factored incorrectly. 2 4x - 20x + 25 = 0 (2x - 5) 2 = 0 2x - 5 = 0 2x = 5 5 x=_ 2 5 22. C - 0 = _ (F - 32); 9 5; Rate of change = _
25. Sample: Multiply the matrices in both orders. If the product is the identity matrix both times, then the matrices are inverses. 26. 4, -3 27. 0, -8, 6 28. f (x) = -(x + 2) 2 + 3 2
4x + 14x + 24 29. __ (x + 4)(x + 2) -5m2 - 7m 30. __ (m + 2)(m + 1)
9
Possible description: C increases 5 degrees for every 9-degree increase in F. 40
y
Celsius
20 -20
O
40
x 60
-40 Fahrenheit
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 45–3
Saxon Algebra 2
c. r ≈ 0.76, Sample: 590 members
2. Slope:
Number of Members
1. y-intercept 1 _ , 2
45
y-int: -2
3. 1465 4. y = -4x - 3
700 600 500 400 300 200 100 0
1 2 3 4 5 6 7 8 9 Year After 2000
5. negative Lesson Practice 45
Incorrect Answers
a. Negative correlation, Possible answer: 1 x + 5, For every y = -_ 4 increase of four minutes in studying, there is a decrease of one incorrect answer. 6 5 4 3 2 1 0
4 8 12 16 Minutes Studied
20
Heating Bill
b. r ≈ -0.8, Sample: $78 120 100 80 60 40 20 0
20 40 60 Temperature
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 45–1
Saxon Algebra 2
Lesson Practice 45
11. D Children Tickets
12.
1. a. and b. 0 -10 -20 -30 -40 -50 -60 -70
1 2 3 4 5 6 7 8 9
20 1 c. y = _ x - 73 _ 3 3
2. r ≈ -0.71, there is a moderate negative correlation between the weight and price of a bicycle. 2 square units 3. 21 _ 3 9! = 1,260 4. displays: _ 4!3!2!
3 6. -9 √ 3 - 70 7. 48 √
9. 10.
4
√ 3 _
10 14 √ 3 _
8 12 16 Adult Tickets
The point (6, 15) is not in the shaded region, so the tourists can not buy 6 adult tickets and 15 children’s tickets. 13. The value of the correlation coefficient cannot exceed 1. 3
14.
2
2
3
x + 3ax + 3a x + a __
2
5. 16 + 40 = 256 + 1600 = 1856 2 and 43 = 1849
8.
;
27 24 21 18 15 12 9 6 3 0
2
45
x
3
15. Roots of negative numbers exist when the index of the radical is an odd number. They are undefined when the index is an even number. 4 2 _ 16. _ s = 5
45 √ 6 _
9
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 45–2
Saxon Algebra 2
Lesson a 17. If rational number _ b is equal to rational f(x) expression _ , both g(x)
45
23. 6 outcomes: A1, A3, A5, E1, E3, E5 24. π
f(x) = a and g(x) = b. 3
2
18. x - 3x + 3x - 1 3
2
19. x + 15x + 75x + 125 20. A 21. The student factored incorrectly. 2 4x - 20x + 25 = 0 (2x - 5) 2 = 0 2x - 5 = 0 2x = 5 5 x=_ 2 5 22. C - 0 = _ (F - 32); 9 5; Rate of change = _
25. Sample: Multiply the matrices in both orders. If the product is the identity matrix both times, then the matrices are inverses. 26. 4, -3 27. 0, -8, 6 28. f (x) = -(x + 2) 2 + 3 2
4x + 14x + 24 29. __ (x + 4)(x + 2) -5m2 - 7m 30. __ (m + 2)(m + 1)
9
Possible description: C increases 5 degrees for every 9-degree increase in F. 40
y
Celsius
20 -20
O
40
x 60
-40 Fahrenheit
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 45–3
Saxon Algebra 2
