All categories

2 years ago

Given the function defined in the table below, find the average rate of change, in

Mathematics

1 answer:

kvv77 [185]2 years ago

7 0

Step-by-step explanation:

the average rate of change is the change of the functional values over a given interval relative to (= divided by) the interval length (the change of the input variable in that interval).

in short :

( f (interval upper limit) - f (interval lower limit) ) /

(interval upper limit - interval lower limit)

upper limit = 8

lower limit = 0

the functional values (y) at these points are 36 and 12.

so, we get

(36 - 12) / (8 - 0) = 24 / 8 = 3

3/1

You might be interested in

SOMEBODY HELP ME PLEASE

Karolina [17]

The exponential model indicates that hydropower energy generation has increased by 2.3% (0.023).

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical equation whose numerals are generated by a constant that's raised to the power of an argument.

Based on an exponential model for this data, we can deduce the following:

Mathematically, the exponential function for the given data is given by $y = 1276.6e^{0.023x}$

The exponential model indicates that hydropower energy generation has increased by 2.3% (0.023).

Hydropower energy generation in 25 years after 1970 was closest to 2270 TWh.

Because the correlation coefficient indicates a strong correlation between the model and the data, this prediction can be accepted with confidence interval of 98.7%.

Read more on exponential functions here: brainly.com/question/12940982

#SPJ1

5 0

2 years ago

A certain function h(x) contains the point (8,-2). Find the value of h^-1(-2) . Explain your answer.

pychu [463]

Given:

A certain function h(x) contains the point (8,-2).

To find:

The value of $h^{-1}(-2)$ .

Solution:

If a function is defined as

$f(x)=\{(a,b):a\in R,b\in R\}$

Then, its inverse is defined as

$f^{-1}(x)=\{(b,a):a\in R,b\in R\}$

It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse $h^{-1}(x)$ contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,

$h^{-1}(-2)=8$

Therefore, the value of $h^{-1}(-2)$ is 8.

4 0

3 years ago

Why is it helpful to represent fractions and division with models? (pls make answer pretty long, thanks :)

eimsori [14]

Answer:

Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given the explicit formula an = 125 + 18(n - 1), find the 49th term.

RideAnS [48]

125+ 18( 49-1 )
=125 + 18( 48)
=125 +864
=989
The 49th term is 989

5 0

3 years ago

Show if lines are parallel, perpendicular, or neither<br><br>Y=10x-2<br>-10x+y=4

notka56 [123]

The lines are parallel bc if you change -10x+y=4 into y=10x+4 they will have the same slope of m=10x