Jill brought 2 1/3 boxes of carrot muffins. Mike brought 1 3/4 of apple muffins. How many muffins are there in all?

4 1/12

Step-by-step explanation:

Let's go through this.

First, we have to find a common denominator.

The LCM of 3 & 4 is 12, so we're using that as the denominator.

The new fractions are 2 4/12 and 1 9/12.

Add 9/12 + 4/12 and you get 13/12, if you simplify its 1 1/12

Now add (2+1) + 1 1/12 and you get the final answer of 4 1/12.

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.