All categories

2 years ago

=

Mathematics

1 answer:

Arada [10]2 years ago

8 0

The exponential function f(x) can represent growth or decay

The value of f(14) is 226.07

<h3>How to determine the value of f(14)?</h3>

The given parameters are:

f(-2) = 25 and f(7) = 85

An exponential function is represented as:

f(x) = ab^x

So, we have:

ab^-2 = 25

Also, we have:

ab^7 = 85

Divide both equations.

This gives

b^9 = 3.4

Take the 9th root of both sides

b = 1.15

Recall that:

ab^7 = 85

This gives

a* 1.15^7 = 85

Solve for a

a = 31.95

So, the exponential function is:

f(x) = 31.95 * 1.15^x

Substitute 14 for x

f(14) = 31.95 * 1.15^14

f(14) = 226.07

Hence, the value of f(14) is 226.07

Read more about exponential functions at:

brainly.com/question/11464095

You might be interested in

About 6% of the population has a particular genetic mutation. 600 people are randomly selected. find the standard deviation for

Rina8888 [55]

Assume a binomial distribution. Then the mean of the distribution is $np$ , where $n$ is the number of people taken in a sample and $p$ is the probability of the mutation occurring in any given person, and the standard deviation is $\sqrt{np(1-p)}$ . Then in this case, the standard deviation is $\sqrt{600(0.06)(0.94)}\approx5.82$ .

7 0

3 years ago

Find the length of side a.<br> 5<br> 3<br> O A. 16<br> O B. 34<br> O c. 2<br> O D. 4

xxMikexx [17]

Answer:

Step-by-step explanation:

a= $\sqrt{c^{2} -b^{2} }$

$\sqrt{5^{2} -3^{2} } =$ 4

a=4

5 0

3 years ago

Help fast!!! Give me the real solution pls. First correct awnser get brainliest!

Over [174]

Answer:

She subtracted the two 10x's where instead you're supposed to add them together.

Step-by-step explanation:

3 0

3 years ago

How is the scientific use of the term digital different from the common use

Mamont248 [21]

While “digital” commonly refers to electronics in general, the scientific definition of digital is much different. “Digital” in information science refers to the finite, discontinuous phenomenon (e.g., on or off states in a light bulb) as opposed to infinitely varying, continuous analog phenomenon (e.g., the brightness of daylight). It can also refer to representing data in figures as opposed to data represented in pictorial form.

5 0

4 years ago

Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute valu

dusya [7]

Inequalities are used to compare unequal expressions.

The actual comparison is: $\mathbf{-3.5 < 5}$ or $\mathbf{5 > -3.5}$