What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?,
A. -12
B. 12
C. -6
D. 6

Option (D).

Step-by-step explanation:

In the figure attached,

An exponential function has been graphed with certain points marked on it.

To find the average rate of change for this function between the given interval we will use the formula,

Average rate of change =

where = value of the function at x = 4

= value of the function at x = 2

By substituting these values in the formula,

Average rate of change =

                                        =

                                        = 6

Therefore, Option D will be the answer.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.