Solve the equation below for x. 4(2x +8) - 3x = 47
1.
X= 13
2.
X= 2
3.
X= 3
4.
X= 7.8

x=3

Step-by-step explanation:

4(2x +8) - 3x = 47

Distribute 4

8x + 32 -3x = 47

Combine like terms

5x + 32 = 47

Subtract 32

5x = 15

x= 3

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.