Answer:
B
Step-by-step explanation:
To find the answer, plug in 2 anywhere you see x and solve
1/3 x 4^(2)
When you simplify, this becomes
1/3 x 16.
Now multiply the two numbers and get 16/3, which is B
The question is an illustration of composite functions.
- Functions c(n) and h(n) are and
- The composite function c(n(h)) is
- The value of c(n(100)) is
- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:
This gives
The function for number of systems is:
<u>(b) Function c(n(h))</u>
In (a), we have:
Substitute n(h) for n in
Substitute
<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:
<u>(d) Interpret (c)</u>
In (c), we have:
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110
It is called a power hope this helps
Answer:
-3,2
Step-by-step explanation:
4x+12=x^2+5x+6
0=x^2+5x-4x+6-12
0=x^2+x-6
0=(x+3)(x-2)
x=-3,2
The outputs of the function are 6, 2, 3, 4 and input of the function are -1, 0, 7, and 10.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
x g(x)
–1 6
0 2
7 -3
10 4
The table shows the input and output of the function g(x)
g(-1) = 6
g(0) = 2
g(7) = -3
g(10) = 4
In the function represented by the table given, the set of corresponding y-values are: 6, 2, 3, 4.
Thus, the outputs of the function are 6, 2, 3, 4 and input of the function are -1, 0, 7, and 10.
Learn more about the function here:
brainly.com/question/5245372
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