PLEASE HELP WILL MARK BRAINLIEST!
Erik solved the average rate of change of f(x) over the interval from x = 6 to x = 10 this way : (10 - 6)/(18 - 8) = 4/10 = 2/5 * X His answer is not correct though. Please complete parts a & b to earn full credit.
a. Explain exactly what erik did wrong in his work
b. Show your work to solve the average rate of change correctly

He did the equation backward. He did , which is wrong.

The actual equation for average rate of change is:

Answers are below

Step-by-step explanation:

A) Erik did not use the correct points. When you use an x value, also use the f(x) value that goes with it. Erik chose random numbers to show the rate of change.

B) I chose two x values and the f(x) value that go with them. = is the rate of change.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.