. Which of the following ordered pair could NOT be included in this set if it is a function?
{ (-4, 2), (3, 6), (4, 3), (x, y) }
(x, y) = (-3, 6)
(x, y) = (1, 2)
(x, y) = (4, -3)
(x, y) = (3, 6)

Step-by-step explanation:

It cannot be (4, -3) as there would be 2 outputs (3 and -3) for the input 4, therefore it becomes a one-to-many relationship and not a function.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

the answer

b. they are parallel and will never intersect.