![\frac{7x+1}{x-2} + \frac{2}{x} = \frac{-4}{ x^{2} -2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%2B1%7D%7Bx-2%7D%20%2B%20%5Cfrac%7B2%7D%7Bx%7D%20%3D%20%5Cfrac%7B-4%7D%7B%20x%5E%7B2%7D%20-2x%7D%20)
is given
here ,
or,
![\frac{7x^{2} +x +2x-4 }{x(x-2)} = \frac{-4}{ x^{2} -2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%5E%7B2%7D%20%2Bx%20%2B2x-4%20%7D%7Bx%28x-2%29%7D%20%3D%20%5Cfrac%7B-4%7D%7B%20x%5E%7B2%7D%20-2x%7D%20)
or,
![\frac{7 x^{2} +3x-4}{ x^{2} -2x} = \frac{-4}{ x^{2} -2x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%20x%5E%7B2%7D%20%2B3x-4%7D%7B%20x%5E%7B2%7D%20-2x%7D%20%3D%20%5Cfrac%7B-4%7D%7B%20x%5E%7B2%7D%20-2x%7D%20)
or,7x²+3x-4=-4
or,7x²+3x=0
or,x(7x+3)=0
Either,x=0| Or,7x+3=0
|or,7x=-3
|or,x=
![\frac{-3}{7}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B-3%7D%7B7%7D%20)
So , the solution set is S={0,-
![\frac{3}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B7%7D%20)
}
Answer:
a.) (0,4) b.) (-4,0)
Step-by-step explanation:
a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)
b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)
Hope this helps!
Answer:
C. Vanity
Step-by-step explanation:
As each of the five mutual funds have same mean rate of return, we go for standard deviation of the rate of return to judge which one has the least consistency among the five.
We know that standard deviation is a measure for variation in a data-set. So more the standard deviation of a data, more is the variation in the data-set and less is the consistency of the data-set.
Here, among the given five mutual fund, we see that "Vanity" has the highest standard deviation (9.4%) in rate of return. So the mutual fund "Vanity" has the least consistency.