On a coordinate plane, a cube root function goes through (negative 2.5, negative 3.5), crosses the y-axis at (0, negative 3), has an inflection point at (1, negative 2), and goes through (2, negative 1). determine the values of h and k in the equation of g(x). g(x) = rootindex 3 startroot x minus h endroot+ k h = k =

Step-by-step explanation:

We want to find h and k in:

At the inflection point, the second derivative is equal to zero, so:

Then x - h = 0.

Inflection point is located at (1, -2), replacing this x value we get:

1 - h = 0

h = 1

We know that the point (-2.5, -3.5) belongs to the function, so:

k ≈ -2

All data, used or not, are shown in the picture attached.

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."

-232

step-by-step explanation: