A package of markers includes 3 black markers and 9 colored markers. What percent of the markers in the package are colored markers?

Step-by-step explanation:

theres a total of 12 markers

9 markers out of 12 are colored

9/12 = .75

which is 75%

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.