Samantha has a shelf that is 95 over 4 inches wide. how many books can samantha arrange on the shelf if each book is 5 over 4 inches thick? 29, because the number of books is 95 over 4 multiplied by 5 over 4 28, because the number of books is 95 over 4 divided by 4 over 5 19, because the number of books is 95 over 4 divided by 5 over 4 17, because the number of books is 95 over 4 multiplied by 4 over 5

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

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.