The answer is d.because you have to subtract from both side
Answer:
<
<
<
< ![\mathsf {y= \frac{19}{8}x}](https://tex.z-dn.net/?f=%5Cmathsf%20%7By%3D%20%5Cfrac%7B19%7D%7B8%7Dx%7D)
Step-by-step explanation:
<u>Finding the unit rate of the graph</u> :
- Take 2 points and find the slope
- ⇒ (0,0) and (12, 25)
- ⇒ m = 25 - 0 / 12 - 0
- ⇒ m = <u>25/12</u>
- The equation is : <u>y = 25/12x</u>
Now, the equations with greater unit rates (in increasing order) are :
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
<u>Answer-</u>
<em>The polynomial function is,</em>
![y=x^4-10x^3+38x^2-64x+40](https://tex.z-dn.net/?f=y%3Dx%5E4-10x%5E3%2B38x%5E2-64x%2B40)
<u>Solution-</u>
The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1
The general form of the equation will be,
( ∵ (3-i) is the conjugate of (3+i) )
![\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x-2%29%5E2%28x-3-i%29%28x-3%2Bi%29)
![\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-4x%2B4%29%28%28x-3%29-i%29%28%28x-3%29%2Bi%29)
![\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-4x%2B4%29%28%28x-3%29%5E2-i%5E2%29)
![\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-4x%2B4%29%28%28x%5E2-6x%2B9%29%2B1%29)
![\Rightarrow y=(x^2-4x+4)(x^2-6x+10)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-4x%2B4%29%28x%5E2-6x%2B10%29)
![\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10](https://tex.z-dn.net/?f=%5CRightarrow%20y%3Dx%5E2x%5E2-6x%5E2x%2B10x%5E2-4x%5E2x%2B4%5Ccdot%20%5C%3A6xx-4%5Ccdot%20%5C%3A10x%2B4x%5E2-4%5Ccdot%20%5C%3A6x%2B4%5Ccdot%20%5C%3A10)
![\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40](https://tex.z-dn.net/?f=%5CRightarrow%20y%3Dx%5E4-10x%5E3%2B14x%5E2%2B24x%5E2-40x-24x%2B40)
![\Rightarrow y=x^4-10x^3+38x^2-64x+40](https://tex.z-dn.net/?f=%5CRightarrow%20y%3Dx%5E4-10x%5E3%2B38x%5E2-64x%2B40)
Therefore, this is the required polynomial function.
Step-by-step explanation:
20x+5=24x-1
4x=6
x=3/2