Use synthetic division to find the quotient and the remainder. (x3 - x2 + 5 ) ÷ (x + 2)
A. Q(x) = (x2 - 3x + 6) ; R(x) = - 7
B. Q(x) = (x2 + x + 2); R(x) = - 7
C. Q(x) = (x2 - 3x + 6) ; R(x) = 2
D. Q(x) = (3x2 - 4x + 2); R(x) = 7
Answer: A
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Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.
A.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
B.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
C.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
D.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
Find the midpoint of the segment with the given endpoints.
and 
A. (36, 100)
B. (144, 16)
C. 
D. 
Provide an appropriate response.The corner points for the bounded feasible region determined by the system of inequalities:
are O = (0, 0), A = (0, 7), B = (6, 5) and C = (8, 0). Find the optimal solution for the objective profit function: 
What will be an ideal response?
The function f is one-to-one. Find its inverse.f(x) = 2x
A. f-1(x) = -2x
B. f-1(x) = 
C. f-1(x) = 
D. f-1(x) = 2x