Find the value of x, y and z

Step-by-step explanation:

8x = 9x - 7

-x = -7

x = 7

9(7)-7= 63-7=56

8(7)= 56

13y+7+56=180

13y+63=180

13y=117

y=9

13(9)+7= 117+7= 124

5y-11+56=90

5y+45=90

5y=45

y=9

5(9)-11+9(7)-7= z

45-11+63-7=z

34+56=z

90=z

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.