Answer:
A)-7
B)2
C)-2
D)-4
Step-by-step explanation:
The base fee is 4 dollars, and the thing the at changes is x or the hours so the equation is 4 + 2x equals 12. and to solve for x we have to first subtract both sides by 4, getting 2x equals 8 then we divide both sides by 2 to get x equals 4 or 4 hours
<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.
Yes because 15+8=23 divide that into a number that could each child have and just make it into equal amounts
Answer:
The equation is set up wrong
Step-by-step explanation:
![9^{2} +b^{2} =15^{2}](https://tex.z-dn.net/?f=9%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3D15%5E%7B2%7D)