What is the slope of the line which passes through (4, 5) and (0, 1)?

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, 1 )

m = = = 1

1

Step-by-step explanation:

Hi there!

where the two given points are and

Plug in the given points (4,5) and (0,1)

Therefore, the slope of the line is 1.

I hope this helps!

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.

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours