Answer as an improper fraction = 16/5
Answer as a mixed number = 3 & 1/5
Answer in decimal form = 3.2
All of those values represent the same thing, but written in a different way.
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Explanation:
I'm assuming HM stands for Harmonic Mean in this case.
If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).
Add up those fractions:
1/2 + 1/8 = 4/8 + 1/8 = 5/8
Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.
n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction
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To convert to a mixed number, we can do the following:
16/5 = (15+1)/5
16/5 = 15/5 + 1/5
16/5 = 3 + 1/5
16/5 = 3 & 1/5
Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2
Distribute the parentheses:
2(x + 1)
2 · x = 2x
2 · 1 = 2
2(x + 1) = 2x + 2
Answer:
![y = - 2x + 6](https://tex.z-dn.net/?f=y%20%3D%20%20-%202x%20%2B%206)
Step-by-step explanation:
![since \: f(x) = y \\](https://tex.z-dn.net/?f=since%20%5C%3A%20f%28x%29%20%3D%20y%20%5C%5C)
then the equation reads:
![y = (3 - x)2 \\ y = 6 - 2x \\](https://tex.z-dn.net/?f=y%20%3D%20%283%20-%20x%292%20%5C%5C%20y%20%3D%206%20-%202x%20%5C%5C%20)
The standard form of an quadratic function is:
![y = mx + c \\](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c%20%5C%5C%20)
So the answer is:
![y = mx + c \\ y = - 2x + 6](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c%20%5C%5C%20y%20%3D%20%20-%202x%20%2B%206)