Neil has 3 cans of paint. They contain 1/3+1/5+1/2 how much paint he have in al

Change the denominators to be all the same. So the fractions would be, 10/30, 6/30, and 15/30. Add the top part of the dividend together to make one big fraction.

The whole thing together would be 31/30.

Simplify the fraction to make, 1 and 1/30

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.