What is the value of x in the equation -2/9x2/5 ? A. -1 4/5

B. -5/9

C. 5/9

D. 1 4/5

-1 4/5

Step-by-step explanation:

-2/9x = 2/5

(multiply both equations by 9 and 5)

So

-10x = 18

(divide both equations by -10)

x = - 18/10

Simplify:

x= - 9/5

= - 1 4/5

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.