Which expression shows the result of applying the distributive property to 3(2x−6)3(2x−6) ?

2x−182x−18

5x−35x−3

6x−186x−18

6x−6

Option C is correct.

is the expression that shows the result of applying the distributive property to  

Step-by-step explanation:

Given that:                  ......[1]

The distributive property says that:

Apply distributive property on [1] we have;

Simplify:

Therefore, the expression that shows the result of applying the distributive property to    is,

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.