Solve the problem.Let A = 
and b = 
.Determine if the equation Ax = b is consistent for all possible b1, b2, b3. If the equation is not consistent for all possible b1, b2, b3, give a description of the set of all b for which the equation is consistent (i.e., a condition which must be satisfied by b1, b2, b3 ).
A. Equation is consistent for all b1, b2, b3 satisfying -3b1 + b3 = 0.
B. Equation is consistent for all b1, b2, b3 satisfying -b1 + b2 + b3 = 0.
C. Equation is consistent for all b1, b2, b3 satisfying 3b1 + 3b2 + b3 = 0.
D. Equation is consistent for all possible b1, b2, b3.
Answer: C
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Find the volume of the solid generated by revolving the shaded region about the given axis.About the y-axis
A. 
?
B. 
?
C. 
?
D. 18?
Write the compound statement in words.Let r = "The puppy is trained." p = "The puppy behaves well." q = "His owners are happy."p ? r
A. If the puppy behaves well then the puppy is trained. B. The puppy does not behave well or the puppy is not trained. C. If the puppy is trained then the puppy behaves well. D. The puppy behaves well or the puppy is trained.
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.8x + 8y = 37x + 7y = 14
A. No solution; inconsistent system B. (2, 7) C. Infinitely many solutions; dependent D. (1, 1)
Find the ordered pair for the vertex.f(x) = 3(x - 7)2 - 2
A. (-7, -2) B. (-2, 7) C. (3, 7) D. (7, -2)