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disa [49]
3 years ago
7

HELP!!!

Mathematics
1 answer:
ella [17]3 years ago
3 0

Answer:

120

Step-by-step explanation:

We are given that the function for the number of students enrolled in a new course is f(x) = 4^{x}-1.

It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.

We know that the average rate of change is given by,

A = \frac{f(x)-f(a)}{x-a},

where f(x)-f(a) is the change in the function as the input value (x-a) changes.

Now, the number of students enrolled at 4 = f(4) = f(x) = 4^{4}-1 = 255 and the number of students enrolled at 2 = f(2) = f(x) = 4^{2}-1 = 15

So, the average increase A=\frac{f(4)-f(2)}{4-2} = A=\frac{255-15}{4-2} = A=\frac{240}{2} = 120.

Hence, the average increase in the number of students enrolled is 120.

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Eva8 [605]

Answer:

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7 0
3 years ago
What is the output value for the input value of 5?
Tcecarenko [31]
<span>If the relationship is x+4 then
f(5)=5+4
f(5)=9
as an example

</span>
6 0
2 years ago
You cut a 54-inch rope into four pieces. Twoof the pieces are the same length, a thirdpiece is twice as long as each of the twoe
antiseptic1488 [7]

Let's use the variable x to represent the length of the first and second pieces.

If the third piece has twice the length of the first and second, its length is 2x.

If the fourth piece has half the length of the first and second, its length is 0.5*x.

Adding all four pieces and equating to 54 inches, we have:

\begin{gathered} x+x+2x+0.5x=54 \\ 4.5x=54 \\ x=\frac{54}{4.5} \\ x=12 \end{gathered}

So the length of each piece is:

12 inches, 12 inches, 24 inches and 6 inches.

5 0
1 year ago
What is the value of a in the equation a = 2 + 3a + 8? (5 points)
Luba_88 [7]

Step-by-step explanation:

a = 2 + 3a + 8

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a = -5

5 0
2 years ago
Use the information to answer the following questions.
lyudmila [28]

If a manager at a large company wants to understand whether the employees are feeling. The best way to collect data is: B. survey.

<h3>What is survey?</h3>

Survey can be defined as the data or information collected from group of people so as to draw or reach a conclusion.

Based on the information Survey would be the best method that would be  suited to understand whether the employees are feeing overworked or not.

The manager can send an online survey to the employee so as to collect that data that will enables the manager to reach a conclusion.

Therefore the correct option is B.

Learn more about survey here:brainly.com/question/968894

#SPJ1

8 0
1 year ago
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