Simplify the following expression.

The answer is D. "8x⁴+x³-4x²+1."

First, you can start off by breaking down the expression based on the exponents.

1. 7x⁴+x⁴=8x⁴
2. 3x³-2x³=x³
3. -5x²+x²=-4x²
4. -x+x+1=1

The expression then simplifies to 8x⁴+x³-4x²+1.

Iagree that is the answer to the question

Answer

1 number

explanation

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.