Which table represents the increasing linear function with the greatest unit rate? a. x y 2 16 5 10 b. x y 2 14 6 12 c. x y 2 -24 5 -15 d. x y 2 -12 6 -16 e. x y 2 -19 6 -17

To find the linear function with the greatest unit rate, we need to calculate the rate of change (slope) of each of the given points.

A. (2,16) and (5,10), Rate of change=

B. (2,14) and (6,12), Rate of change=

C. (2,-24) and (5,-15), Rate of change=

D. (2,-12) and (6,-16), Rate of change=

E. (2,-19) and (6,-17), Rate of change=

Since, it can be seen that the greatest rate of change is 3 which is of the points given in Option C, therefore, it is the linear function with greatest unit rate(increasing).

For any two given points

Rate of change =

To find linear function with the greatest unit rate we find the rate of change of each points.

A) The given points are(2, 16) and (5, 10 )

Rate of change =

B) The given points are :(2,14) and (6,12)

Rate of change=

C) Points are (2,-24) and (5,-15)

Rate of change =

D) Points are :(2,-12) and (6,-16)

Rate of change =

E) Points are  (2, -19 ) and (6, -17)

Rate of change =

Option C has the greatest rate of change.

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 first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8