Provide an appropriate response.When solving problems, why is it necessary to check the answer in the original problem rather than in the equation to which you translated the problem?
What will be an ideal response?
The solution of the equation might not have meaning in the original problem. A negative number would not be a solution of a problem involving length, for example. In addition, the translation could be incorrect and, even if it were solved correctly, would not yield a correct answer to the original problem.
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Simplify, then write in descending order.
x - 4x2 - 
x3 - 
x + 
x3
A. 
x3 - 4x2 + 
x
B. - 
x3 - 4x2 + 
x
C. 
x3 - 4x2 - 
x
D. - 
x3 - 4x2 - 
x
Solve using artificial variables.Maximizez = 3x1 + 2x2subject to:x1 + x2 = 5 4x1 + 2x2 ? 12 5x1 + 2x2 ? 16 x1 ? 0, x2 ? 0
A. Maximum is 12 for x1 = 2, x2 = 3 B. Maximum is 14 for x1 = 4, x2 = 1 C. Maximum is 13 for x1 = 3, x2 = 2 D. Maximum is 15 for x1 = 5, x2 = 0
Determine 
for the pair of functions 
and 
.
A. 
B. 
C. 
D. 
E. 
Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.
A. consistent; x = 5, y = 1, z = 3; (5, 1, 3) B. consistent; x = 5, y = 1; (5, 1) C. consistent; x = -5, y = -1; (-5, -1) D. inconsistent