Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached images below, to find more information about the graph
The equation is:
f(x) = x^4 – 2x^3 + 5x^2 – 7x + 9
The equation has only complex roots.
Inverse variation:
![y=\frac{k}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bk%7D%7Bx%7D)
k is a constant
Use the given information (when x=4 y=4) to find the value of the constant:
![\begin{gathered} 4=\frac{k}{4} \\ \\ \text{Multiply both sides of the equation by 4:} \\ 4\times4=4\times\frac{k}{4} \\ \\ 16=k \\ \\ \\ k=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204%3D%5Cfrac%7Bk%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%5Ctext%7BMultiply%20both%20sides%20of%20the%20equation%20by%204%3A%7D%20%5C%5C%204%5Ctimes4%3D4%5Ctimes%5Cfrac%7Bk%7D%7B4%7D%20%5C%5C%20%20%5C%5C%2016%3Dk%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20k%3D16%20%5Cend%7Bgathered%7D)
Then, the given relationship has the next equation:
![y=\frac{16}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B16%7D%7Bx%7D)
Use the equation above to find y when x=2:
![\begin{gathered} y=\frac{16}{2} \\ \\ y=8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%5Cfrac%7B16%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20y%3D8%20%5Cend%7Bgathered%7D)
Then, when x=2, y=8
Answer:
Justice Department ?
Step-by-step explanation:
Answer:
![x=(-12,0)](https://tex.z-dn.net/?f=x%3D%28-12%2C0%29)
![y=(0,3)](https://tex.z-dn.net/?f=y%3D%280%2C3%29)
Step-by-step explanation:
<u><em>x-intercept</em></u>
![-2(x-4y)=24](https://tex.z-dn.net/?f=-2%28x-4y%29%3D24)
![x-4y=-\frac{24}{2}](https://tex.z-dn.net/?f=x-4y%3D-%5Cfrac%7B24%7D%7B2%7D)
![x-4y=-12](https://tex.z-dn.net/?f=x-4y%3D-12)
![x=4y-12](https://tex.z-dn.net/?f=x%3D4y-12)
![x=4(0)-12](https://tex.z-dn.net/?f=x%3D4%280%29-12)
![x=-12](https://tex.z-dn.net/?f=x%3D-12)
<u><em>y-intercept </em></u>
![-2(x-4y)=24](https://tex.z-dn.net/?f=-2%28x-4y%29%3D24)
![x-4y=-\frac{24}{2}](https://tex.z-dn.net/?f=x-4y%3D-%5Cfrac%7B24%7D%7B2%7D)
![x-4y=-12](https://tex.z-dn.net/?f=x-4y%3D-12)
![-4y=-12-x](https://tex.z-dn.net/?f=-4y%3D-12-x)
![y=-\frac{-12-x}{4}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B-12-x%7D%7B4%7D)
![y=-\frac{-12-(0)}{4}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B-12-%280%29%7D%7B4%7D)
![y=\frac{12}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B12%7D%7B4%7D)
![y=3](https://tex.z-dn.net/?f=y%3D3)
Answer:
a. =11+ 1
b. =4x+ (-7y) + (-5z) +6
c. (-3x) + (-8y) +(-4)+(-8/7z)
Step-by-step explanation:
a. 20 - 9 + 8 -7
=11+ 1 ( this is obtained by solving)
b. 4x - 7y - 5z + 6
=4x+ (-7y) + (-5z) +6
We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.
c. -3x - 8y - 4 - 8/7z
-[ 3x+8y+4+8/7z]
or
(-3x) + (-8y) +(-4) +(-8/7z)
The minus sign is taken as common leaving the expression with the plus only.
It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.
The expressions are a sum after the negative sign is marked with the terms. It shows that the negative terms are being added.