Mitch is making some bread dough. To make the bread dough, Mitch uses 5 1/2 cups of wheat flour, 1 3/4 cups of rice flour, and 2/3 cup of white flour. How many cups of flour, in total, does Mitch use? Show or explain all your work. ​

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.

it would rotate about 180 degrees.