Here, f(x) = kx
k = f(x)/x
k = 48/8
k = 6
So, when x = 2,
f(x) = 6 * 2
z = 12
In short, Your Answer would be: 12
Hope this helps!
<h3>
Answer: E) x^5</h3>

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Explanation:
We simply take half of the exponent 10 to get 5. This applies to square roots only.
So the rule is 
A more general rule is
![\sqrt[n]{a^b} = a^{b/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5Eb%7D%20%3D%20a%5E%7Bb%2Fn%7D)
If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.
Add all the item together:
16 + 28 + 12 + 4
=60 total items
Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.
<h3>What is an exponential function?</h3>
It is modeled by:

In which:
- a is the initial value, that is, y when x = 0.
- b is the rate of change, as a decimal.
Function 1 is given by:

Hence the rate is b = 0.2.
Considering the values on the table, function 2 is given by:

Hence the rate is b = 0.8.
Hence, the second function has a greater rate, as 0.8 > 0.2.
More can be learned about exponential function concepts at brainly.com/question/14398287
Answer:
Value of k is
Step-by-step explanation:
We are given the following information in the question:

where x is the time elapses between the end of the hour and the end of the lecture.
We have to find the values of k.
Since, f(x) is the pdf, then,
![\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%5Cinfty_%7B-%5Cinfty%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20kx%5E2%20%3D%201%5C%5C%5C%5Ck%5Cbigg%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%5D%5E2_0%20%3D%201%5C%5C%5C%5Ck%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20%3D%201%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, value of k is 