Solve the problem.On the first four exams, your grades are 77, 84, 69, and 78. You are hoping to earn a C in the course. This will occur if the average of your five exam grades is greater than or equal to 70 and less than 80. What range of grades on the fifth exam will result in earning a C?
A. (32, 82]
B. [32, 82)
C. (42, 92]
D. [42, 92)
Answer: D
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Solve the differential equation.D2y - 9 Dy = 0
A. y = C1e9x + C2ex B. y = C1e9x + C2 C. y = C1e-9x + C2 D. y = C1e-9x + C2ex
Determine the values of x for which the function is differentiable.y = 
A. All real numbers except -3 B. All real numbers except 3 C. All real numbers D. All real numbers except 7
Given that p and q each represents a simple statement, write the indicated symbolic statement in words.p: The car has been repaired.q: The kids are home.r: We will visit Aunt Tillie.~ r ? ~ (p ? q)
A. If we will not visit Aunt Tillie, then the statement that the car has been repaired or the kids are home is not true. B. If we will not visit Aunt Tillie, then the statement that the car has been repaired and the kids are home is not true. C. If we will not visit Aunt Tillie then it is not true that the car has been repaired, and the kids are home. D. We will not visit Aunt Tillie if and only if the car has not been repaired and the kids are not home.
Solve the system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. x + 4y = -4 2x + 5y = -5
A. No solution, inconsistent B. (0, -1) C. (1, 0) D. (1, -2)