Caroline places five poles a, b,c, d,and e in order along a straight line. the distance poles a and d is 1 yard. the distance between poles a andb. poles a and b are 1/5 yard apart. the distance between d and e is 7/10 yard. how far apart are poles b and e?

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.

3

step-by-step explanation: