Julie baked 45 cookies so that she 5 cookies to each of her friends and have none left over. However, 3 cookie From the remaining cookies, she gave each friend the maximum number of cookies. f each friend received an equal number of cookies, how many cookies are left with Julie?

1. minimum

2. 6400

3. eight

hope this !

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.