Which of the following describes the correct process for solving the equation 2x - 6 = 22 and arrives at the correct solution?
a. divide both sides by -6 and then add 2. the solution is x = 8.
b. subtract 6 from both sides of the equation and then divide by 2. the solution is x = 7.
c. add 6 to both sides of the equation and then divide by 2. the solution is x = 14.
d. add 6 to both sides of the equation and then divide by 22. the solution is x = -14.

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.