X: 4 units of a and 5 units of b per hour
y: 3 units of a and 10 units of b per hour
cost to run machine x: $22/hr
cost to run machine y: $25/hr
x=number of hours machine x runs
y=number of hours machine y runs

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.

answer: i feel you honey.

step-by-step explanation:

oof

step-by-step explanation: