[18+ 3(28 -19)] - 4 x 5 =

25

Step-by-step explanation:

[18+ 3(28 -19)] - 4 x 5 =

(P E M D A S) parenthesis, exponents, multiplication, division, addition, subtraction

3 x 28 = 84

3 x 19 = 57

84 - 57 = 27

[18 + 27] - 4 x 5 =

45 - 4 x 5 =

4 x 5 = 20

45 - 20 = 25

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.