Consider the equation. x + 5 7 = 31 7 If you use the addition property of equality, what number would you add to both sides of the equal sign to isolate the variable? What is the solution?

Add - 5/7 to each side

x = 26/7

Step-by-step explanation:

x + 5/7 = 31/7

We want to add -5/7 to each side of the equation to isolate x

x+5/7 + -5/7 = 31/7 + -5/7

x = 26/7

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.