Ying zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. what was his average speed for the entire trip?

53 1/3 mph

Step-by-step explanation:

Speed equals distance over time.

She covered 300 miles in 60mph, which took 5 hours.

(300/60=5 )

She also covered 100 miles in 40mph, which means she took 2.5 hours.

(100/40=2.5)

So the total distance is 400miles and the total time is 7.5 hours.

s=d/t substitute values which gives you 400/7.5 which equals 53 1/3 mph

idk

step-by-step explanation:

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.