Brent has a collection of 84 bobble head trophies he needs to box up for the move to his new home. he can fit 7 trophies into one box. how many boxes will brent need? * show work*

Brent will need 12 boxes.

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.