The average rate of change of a function f(x) = x2 between x = 5 and x = 9

Step-by-step explanation:

The average rate of change is given by [g(x_2) - g(x_1)]/(x_2 - x_1). Here, we have x_1 = -2, x_2 = -2 + h, and g(x) = 4/x, so we get:

Average rate of change

= [g(x_2) - g(x_1)]/(x_2 - x_1)

= [4/(-2 + h) - 4/(-2)]/[(-2 + h) - (-2)]

= [4/(-2 + h) + 4/2]/(-2 + h + 2)

= [4/(-2 + h) + 2]/h

To simplfiy this, we combine fractions in the numerator:

[4/(-2 + h) + 2]/h

= [4/(-2 + h) + 2(-2 + h)/(-2 + h)]/h

= {[4 + 2(-2 + h)]/(-2 + h)]}/h

= [(4 - 4 + 2h)/(-2 + h)]/h

= [2h/(-2 + h)]/h

= 2/(-2 + h)

So the average rate of change of g(x) = 4/x between x = -2 and x = -2 + h is 2/(-2 + h).

I hope this helps!

x+y = 29, 5x + 2y = 100

step-by-step explanation:

i'm guessing it was a multiple first option was the correct answer

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%