Fast. i will give brainlest to first correct answer

Image 1:

Given that:

= 1/3 (-32.48 - 14.02)

= 1/3 (-46.5)

= - 15.5

Image 2:

Given that:

Distance covered towards east = 3/4 mi

Distance covered towards west = 1/3 + 1/3  = 2/3 mi

Now the distance from to grocery shop will be found by:

=East distance - west distance

=3/4 - 2/3

Taking LCM to make denominators same:

= ( 3*3 - 2*3)/12

= (9 - 6)/12

= 3/12 mi

= 1/4 mi

So the grocery store is at a distance of 1/4mi from sylvia's house

I hope it will help you!

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.