Medium of 8,9, 10, 10, 11, 11, 11, 12, 13

Drag each tile to the correct box.

Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

$\frac{16-4}{5-3}=6$

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

$b=6$

Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0

3 years ago

hi people i suck at math and is in 10th grade i have a question if you start at 5,2 and move 3 units left and 2 units up what do

irina [24]

Answer:

(2,4)

Step-by-step explanation:

left( - ) and right( + ) (x axes)

up( + ) and down( - ) (y axes)

(5,2) just add

5 - 3 = 2

2 + 2 = 4

Answer :

(2,4)

8 0

3 years ago

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

ololo11 [35]

No, they forgot to switch variable labels after solving for the independent variable...

y=-8x+4

y-4=-8x

(y-4)/-8=x

Now that you have solved for the independent variable x, you switch the variable labels...

y=(x-4)/-8

f^-1(x)=(x-4)/-8 which should really be rewritten as:

f^-1(x)=(4-x)/8 :P

3 0

3 years ago

Read 2 more answers

(x2 - y2)-(-x2 + y2)<br> How do you write that out to show work ?! Help pleAse

Verdich [7]

Answer:

░░░░░▐▀█▀▌░░░░▀█▄░░░

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░░░░▄▄▄██▀▀▀▀░░░░░░░

░░░█▀▄▄▄█░▀▀░

░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob

▄░▐░░░▄▄░█░▀▀ ░░

▀█▌░░░▄░▀█▀░▀ ░░ Copy And Paste Him onto all of ur brainly answers

░░░░░░░▄▄▐▌▄▄░░░ So, He Can Take

░░░░░░░▀███▀█░▄░░ Over brainly

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do it or he will hunt you down and kill u (lets destroy the moderators!!!!!!!!)

we are slowing them down already! good work soilders!

Step-by-step explanation:

8 0

2 years ago

Why are mathematicians like airlines?

ipn [44]

They both use planes.

8 0

3 years ago

Medium of 8,9, 10, 10, 11, 11, 11, 12, 13​

Medium of 8,9, 10, 10, 11, 11, 11, 12, 13