Answer:
Step-by-step explanation:
3x+y+1=0
2x-y+4=0
Answer:
CV = coefficient of variation = 0.761
Step-by-step explanation:
The coefficient of variation is defined as the standard deviation divided by the mean of a population, which in this case,
standard deviation = 15.6
mean = 20.5
CV = coefficient of variation = 15.6/20.5 = 0.761
Note that if the 16 values form a sample (i.e. not the entire population), the above result is an estimate of the CV.
Answer:
H=20
Step-by-step explanation:
Its asking what times 1.2 equals 24
1.2 times 20 equals 24
X+8>14
Subtract 8 from both sides-
x>6
Do you need help with the graphing part too?
Let the two factors be x and y.
Two factors that multiply to -1:
![xy = -1](https://tex.z-dn.net/?f=xy%20%3D%20-1)
Two factors that add to 1:
![x + y = 1](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%201)
From the second equation:
![x = 1-y](https://tex.z-dn.net/?f=x%20%3D%201-y)
Plug x back into the first equation:
![(1-y)(y) = -1 \\ y-y^2 = -1 \\ y^2-y-1 = 0](https://tex.z-dn.net/?f=%281-y%29%28y%29%20%3D%20-1%20%5C%5C%20y-y%5E2%20%3D%20-1%20%5C%5C%20y%5E2-y-1%20%3D%200)
There are no binomial pairs that result in this quadratic. Thus we must use the quadratic formula.
![\frac{-b+- \sqrt{b^2-4ac} }{2a} \\ \\ \frac{1 +- \sqrt{1-4(1)(-1)} }{2} \\ \\ \frac{1 +- \sqrt{5} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%20%5C%5C%20%5C%5C%20%5Cfrac%7B1%20%2B-%20%5Csqrt%7B1-4%281%29%28-1%29%7D%20%7D%7B2%7D%20%5C%5C%20%5C%5C%20%20%5Cfrac%7B1%20%2B-%20%5Csqrt%7B5%7D%20%7D%7B2%7D%20)
x = -y =
![\frac{1 +- \sqrt{5} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B-%20%5Csqrt%7B5%7D%20%7D%7B2%7D%20)
Either x or y could be the positive factor. The other variable would have to be the negative factor.
Just a sidenote:
![\frac{1 +- \sqrt{5} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B-%20%5Csqrt%7B5%7D%20%7D%7B2%7D%20)
is actually called the "Golden Ratio" because the ratio is found so often in beautiful example in nature.