For the following problem, match the name of the number property that was used to get to each step from the previous step. (match the numbers with the answer) 37 • 2 • (-5 + + 5) 1 . identity property of addition 37 • 2 • (-5 + 5 + ) 2 . commutative property 37 • 2 • (0 + ) 3 . inverse property of multiplication 37 • 2 • 4 . identity property of multiplication 37 • 1 5 . inverse property of addition 37

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.

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5