Simplify completely 12 times x to the third power minus 4 times x to the 2nd power plus 8 times x all over negative 2 times x. −6x2 + 2x + 4 −6x2 + 2x − 4 6x4 − 2x3 + 4x2 6x2 − 4x2 + 8x

Step-by-step explanation:

The given expression is;

To simplify this expression, we either factor the numerator or share the denominator for each of the numerators.

Let us factor to obtain;

We cancel the common factor to obtain;

a is the right answer

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.