Answer:
16
Step-by-step explanation:
In a whole, the answer is 45%
The full answer is 45.454545454546%
3x+y=15
First convert the equation into slope intercept form. y=mx+b
Where m is the slope and b is the y-intercept.
3x+y=15
Subtract 3x from both sides
y=-3x+15
Here slope, m=-3
Answer: Slope is -3. Option C is correct
L=(2,4) M= (3,1) N=(-2,1)
![\bf f(x)=x^5\stackrel{\downarrow }{-}x^4\stackrel{\downarrow }{+}x^3\stackrel{\downarrow }{-}x^2\stackrel{\downarrow }{+}5\qquad \impliedby \textit{4 sign changes}](https://tex.z-dn.net/?f=%20%5Cbf%20f%28x%29%3Dx%5E5%5Cstackrel%7B%5Cdownarrow%20%7D%7B-%7Dx%5E4%5Cstackrel%7B%5Cdownarrow%20%7D%7B%2B%7Dx%5E3%5Cstackrel%7B%5Cdownarrow%20%7D%7B-%7Dx%5E2%5Cstackrel%7B%5Cdownarrow%20%7D%7B%2B%7D5%5Cqquad%20%5Cimpliedby%20%5Ctextit%7B4%20sign%20changes%7D%20)
![\bf f(-x)=(-x)^5-(-x)^4+(-x)^3-(-x)^2+5~~ \begin{cases} (-x)^5=(-x)(-x)(-x)\\ \qquad \qquad (-x)(-x)\\ \qquad \qquad -x^5\\ (-x)^4=(-x)(-x)(-x)(-x)\\ \qquad \qquad x^4\\ (-x)^3=(-x)(-x)(-x)\\ \qquad \qquad -x^3\\ (-x)^2=(-x)(-x)\\ \qquad \qquad x^2 \end{cases} \\\\\\ f(-x)=-x^5-x^4-x^3-x^2\stackrel{\downarrow }{+}5\qquad \impliedby \textit{1 sign change}](https://tex.z-dn.net/?f=%20%5Cbf%20f%28-x%29%3D%28-x%29%5E5-%28-x%29%5E4%2B%28-x%29%5E3-%28-x%29%5E2%2B5~~%20%5Cbegin%7Bcases%7D%20%28-x%29%5E5%3D%28-x%29%28-x%29%28-x%29%5C%5C%20%5Cqquad%20%5Cqquad%20%28-x%29%28-x%29%5C%5C%20%5Cqquad%20%5Cqquad%20-x%5E5%5C%5C%20%28-x%29%5E4%3D%28-x%29%28-x%29%28-x%29%28-x%29%5C%5C%20%5Cqquad%20%5Cqquad%20x%5E4%5C%5C%20%28-x%29%5E3%3D%28-x%29%28-x%29%28-x%29%5C%5C%20%5Cqquad%20%5Cqquad%20-x%5E3%5C%5C%20%28-x%29%5E2%3D%28-x%29%28-x%29%5C%5C%20%5Cqquad%20%5Cqquad%20x%5E2%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20f%28-x%29%3D-x%5E5-x%5E4-x%5E3-x%5E2%5Cstackrel%7B%5Cdownarrow%20%7D%7B%2B%7D5%5Cqquad%20%5Cimpliedby%20%5Ctextit%7B1%20sign%20change%7D%20)
so the number of positive real roots is either 4, or (4-2) 2, or (2-2) 0. And the negative real roots are only 1. Any slack gets picked up by the versatile complex twins.
4 real positive ones and 1 negative real one
or
2 real positive ones and 1 negative real one and 2 complex ones
or
0 real positive ones and 1 negative real one and 4 complex ones.