Answer:
Use the distributive property to solve the equation 2(m + 2) = 22. Describe what it means to distribute the 2 to each term inside the parentheses
Y=-x+2
OR if you are looking for point slope:
y+1=-1(x-3)
Answer:
14/336 ----------> 0.41
Step-by-step explanation:
you substituto 2 week to 336 cause there are 336 hours in 2 weeks therefore 14/336 = 0.41
the unit rate is 14/336
Answer:(x,y)=(2.5,1)
Step-by-step explanation:
Given
![2^{2x+y-1}=32](https://tex.z-dn.net/?f=2%5E%7B2x%2By-1%7D%3D32)
![2^{2x+y-1}=2^5](https://tex.z-dn.net/?f=2%5E%7B2x%2By-1%7D%3D2%5E5)
thus on comparing
2x+y=6------1
![4^{x-2y}=2](https://tex.z-dn.net/?f=4%5E%7Bx-2y%7D%3D2)
![2^{2(x-2y)}=2](https://tex.z-dn.net/?f=2%5E%7B2%28x-2y%29%7D%3D2)
On comparing exponent of 2
------2
we get x=2.5
substitute x in 1
y=1
(x,y)=(2.5,1)
<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.