Two points with coordinates A(c , 2d + 2) and B(d, c - 3) have a midpoint with the coordinates M(-2, 4). Find the values of c and d

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.

part a: 1.08

part b: 27.59

answer is  

c.

36

step-by-step explanation: