Apply the pigeonhole principle to answer the following questions. if the pigeonhole principle can not be applied, give a specific counterexample. seven members of the track team run the mile. their mile times are all faster than 7 minutes but not faster than 6 minutes. can you conclude that there are two runners whose times are less than nine seconds apart? what if there are eight runners? times are measured to a precision of 0.01 second.

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.

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y

14.29%

step-by-step explanation: