Answer the question.Choose the expression that is equivalent to the following: (7x + 9y)(4y + 8x)
A. (7x + 8x)(9y + 4y)
B. 15x + 13y
C. (7x + 9y)(8y + 4x)
D. (7x + 9y)(8x + 4y)
Answer: D
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Solve the initial value problem.Differential Equation: 
= (12t2 - 5)i - j + 
kInitial Condition: r(0) = -5i + 3j + 11k
A. r(t) = (4t3 + 5t + 5)i + (3 + t)j + (
+ 9)k
B. r(t) = (4t3 - 5t - 5)i + (3 - t)j + (
- 9)k
C. r(t) = (12t3 - 5t - 5)i + (3 - t)j + (
+ 9)k
D. r(t) = (4t3 - 5t - 5)i + (3 - t)j + (2
+ 9)k
Describe a one-to-one correspondence between the given set and one of its proper subsets. For example, if we gave you the set {3, 5, 7, 9, 11, ...}, the nth term is 2n +1. You could then write the correspondence by matching the elements of {3, 5, 7, 9, 11, ...} with the elements of the subset {5, 7, 9, 11, 13, ...}. The general correspondence would match 2n + 1 with 2n + 3.{6, 8, 10, 12, ...}
A.
| 6, | 8, | 10, | 12, ..., | 2n + 8, | ... |
| ? | ? | ? | ? | ? |
| 8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
B.
| 6, | 8, | 10, | 12, ..., | 2n + 5, | ... |
| ? | ? | ? | ? | ? |
| 8, | 10, | 12, | 14, ..., | 2n + 7, | ... |
C.
| 6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
| ? | ? | ? | ? | ? |
| 8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
D.
| 6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
| ? | ? | ? | ? | ? |
| 7, | 9, | 11, | 13, ..., | 2n + 6, | ... |
Add or subtract as indicated. Express the answer as a single polynomial in standard form.(x2 + 1) - (4x2 + 7) + (x2 + x - 8)
A. -2x2 + x - 14 B. -2x2 + 8x - 7 C. -4x2 + x - 14 D. -3x2 + x - 14
Find the solutions to the system of equations by the addition method. 7x + 9y = -45 2x + 3y = -15
A. (0, -5) B. (-1, -4) C. (-1, -5) D. (0, -4)