Answers to the midterm review.
Midterm is scheduled for Thursday, January 20th.
My computer here at home doesn't have a math type program, so equations won't look like equations.
1. - 8x squared + 14x - 11
1a. (Not related to number 1 - need the added info of a = 2.) y = 2(x - 2)squared - 50
2. y = (3/8)x + (12/8)
3. $80.00
4. 2x2 matrix where the top left entry = 3/18, top right entry = - 5/18, bottom left entry = 0, bottom right entry = - 6/18
5. (2, - 23)
6. a. y = 2x squared
b. y = absolute value of (x - 4)
c. y = 2x + 7
d. y = 5 x-cubed
7. x > 3.25 or x < -1.75
8. (2x + 3)(3x - 5)
9. y = 3x - 1
10. A
11. y = absolute value of (x - 5) + 2
12. 2x - 3y = 6
13. a. negative 47
b. 2 imaginary roots, no x-intercepts
14. -1< x <1
15. y = absolute value of (x - 4)
16. y = 2 - (1/2)X
17. f(3) = 24, f(-1) = -2
18. Points that are solutions (-11, -4) AND (-25, -10), Points that are NOT solutions (0, 2) AND (5, 0).
19. y = (x + 3)(x - 2)
20. x = 4 + or - square root of 3... all over 2
21. 46
22. 4 units to the right and 3 units up
23. f(x) = {x + 2 if x< or equal to -1
{x squared if -1< x < or equal to 1
{3 if x > 1
24. x = - 5, - 1
25. D
26. The two matrices should be equal - the top right matrix is messed up (my fault), but if you set the other entries equal...
x = 2.132, -2.532 and y = - 30/13
27. x = .405, 6.595
28. (-6, -6)
29. y = - x - 1
30. No solutions - the lines are parallel - same slope, different y-intercept
31. y = (5/9)(x + 2) squared - 3
32. x < -2 or x > 10
33. 22
34. ( -27, -17)
35. y = (-4/3)x + 20/3
36. (6, 17)... if 6 units were produced, both positions would pay $17.00
37. 7 first place finishers, 10 second place finishers, 3 third place finishers
38. 156 people went to the fall formal, 229 people went to the spring fling, 311 people went to the end-of-the-year extravaganza
39. A = 3 x-squared, c) 6.45, d) 6.32, f) 27... so yes
40. At 2 seconds, the rocket ball will reach the maximum height of 9 feet. After 5 seconds, the ball will be back to the ground.
http://youtu.be/D87sogoU_68
Answers to the midterm review.
Midterm is scheduled for Thursday, January 20th.
My computer here at home doesn't have a math type program, so equations won't look like equations.
1. - 8x squared + 14x - 11
1a. (Not related to number 1 - need the added info of a = 2.) y = 2(x - 2)squared - 50
2. y = (3/8)x + (12/8)
3. $80.00
4. 2x2 matrix where the top left entry = 3/18, top right entry = - 5/18, bottom left entry = 0, bottom right entry = - 6/18
5. (2, - 23)
6. a. y = 2x squared
b. y = absolute value of (x - 4)
c. y = 2x + 7
d. y = 5 x-cubed
7. x > 3.25 or x < -1.75
8. (2x + 3)(3x - 5)
9. y = 3x - 1
10. A
11. y = absolute value of (x - 5) + 2
12. 2x - 3y = 6
13. a. negative 47
b. 2 imaginary roots, no x-intercepts
14. -1< x <1
15. y = absolute value of (x - 4)
16. y = 2 - (1/2)X
17. f(3) = 24, f(-1) = -2
18. Points that are solutions (-11, -4) AND (-25, -10), Points that are NOT solutions (0, 2) AND (5, 0).
19. y = (x + 3)(x - 2)
20. x = 4 + or - square root of 3... all over 2
21. 46
22. 4 units to the right and 3 units up
23. f(x) = {x + 2 if x< or equal to -1
{x squared if -1< x < or equal to 1
{3 if x > 1
24. x = - 5, - 1
25. D
26. The two matrices should be equal - the top right matrix is messed up (my fault), but if you set the other entries equal...
x = 2.132, -2.532 and y = - 30/13
27. x = .405, 6.595
28. (-6, -6)
29. y = - x - 1
30. No solutions - the lines are parallel - same slope, different y-intercept
31. y = (5/9)(x + 2) squared - 3
32. x < -2 or x > 10
33. 22
34. ( -27, -17)
35. y = (-4/3)x + 20/3
36. (6, 17)... if 6 units were produced, both positions would pay $17.00
37. 7 first place finishers, 10 second place finishers, 3 third place finishers
38. 156 people went to the fall formal, 229 people went to the spring fling, 311 people went to the end-of-the-year extravaganza
39. A = 3 x-squared, c) 6.45, d) 6.32, f) 27... so yes
40. At 2 seconds, the rocket ball will reach the maximum height of 9 feet. After 5 seconds, the ball will be back to the ground.