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3 years ago

Calculate the average rate of change for the given function, from x = 8 to x = 5.

Mathematics

2 answers:

iren2701 [21]3 years ago

8 0

The answer for the slope is -4/3

kumpel [21]3 years ago

7 0

The average rate of change from x=8 to x=5 can be calculated as:

$\frac{f(8)-f(5)}{8-5}$

f(8) = 0
f(5) = 4

Using the values we get:

$\frac{0-4}{8-5} \\ \\ 
 -\frac{4}{3}$

So, first option gives the correct average rate of change from x=8 to x =5 for the given function.

You might be interested in

If you order these 3 from Least I will give 20 points and mark as brilliant 1.)6 3/5, 7 3/4,6.55,6,7.09 2.) 3 8/20,-3.3,3.41,3.2

natulia [17]

Answer:

1.) 6, 6.55, 6 3/5, 7.09, 7 3/4

2.) -3.3, -3 3/12, 3.27, 3 8/20, 3.41

3.) -0.4, 1/25, 4/50, 12/100, 0.8

Explanation:

1.) 6 3/5, 7 3/4, 6.55, 6, 7.09

6 3/5 -> 6.6

7 3/4 -> 7. 75

Therefore: 6, 6.55, 6 3/5, 7.09, 7 3/4

2.) 3 8/20, -3.3, 3.41, 3.27, -3 3/12

3 8/20 -> 3.04

-3 3/12 -> -3.25

Therefore: -3.3, -3 3/12, 3.27, 3 8/20, 3.41

3.) 4/50, 0.8, 12/100, -0.4, 1/25

4/50 -> 0.08

12/100 -> 0.12

1/25 -> 0.04

Therefore: -0.4, 1/25, 4/50, 12/100, 0.8

4 0

3 years ago

If you choose two blocks at the same time, what is the probability that both blocks will

Murljashka [212]

Step-by-step explanation:

Numer of events divided by total number of events.

number of events = two ( since T is only 2)

total number of events = 12 ( count all of them)

so the probability is = 2/12 which is = 1/6.

Hope this helps.

Good luck ✅.

6 0

1 year ago

Functions & (f o g) (#)

sertanlavr [38]

Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
Best wishes :)

7 0

3 years ago

Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has

Mazyrski [523]

Answer:

Julia has enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs $\frac{13}{16}$ gallon of gas to mow first yard.