Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, end fraction of an hour. What was the difference in time between the longest time and the shortest time? \text{ hours} hours

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.

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation:

b. hoped i'm right lol

step-by-step explanation: