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3.5 hours of studying to get a 75 on the exam.

Step-by-step explanation:

The y intercept in the graph is 40. This means that the constant in the linear equation is 40.

The slope of the equation is 10 because after the variable x travels one interval, the y travels 10.

To get the hours a student need to get 75 on the exam, we set the equation equal to 75.

75 = 10x + 40 where x = hours studied.

75 - 40 = 10x

x = 35/10

x = 3.5 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.

its an acute right triangle

step-by-step explanation: