Answer:
![\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B7.%5C%20B.%5C%208s%5E2%2B16s%2B1%7D%5C%5C%5C%5C%5Cboxed%7B8.%5C%20D.%5C%20-15t%5E9u%5E%7B11%7D%7D%5C%5C%5C%5C%5Cboxed%7B11.%5C%20C.%5C%203%2C%5C%20-2%7D)
Step-by-step explanation:
![7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1](https://tex.z-dn.net/?f=7.%5C%5C%283s%5E2%2B7s%2B2%29%2B%285s%5E2%2B9s-1%29%3D3s%5E2%2B7s%2B2%2B5s%5E2%2B9s-1%5C%5C%5C%5C%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%283s%5E2%2B5s%5E2%29%2B%287s%2B9s%29%2B%282-1%29%5C%5C%5C%5C%3D8s%5E2%2B16s%2B1)
![8.\\(-3t^2u^3)(5t^7u^8)=(-3\cdot5)(t^2t^7)(u^3u^8)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=-15t^{2+7}u^{3+8}=-15t^9u^{11}](https://tex.z-dn.net/?f=8.%5C%5C%28-3t%5E2u%5E3%29%285t%5E7u%5E8%29%3D%28-3%5Ccdot5%29%28t%5E2t%5E7%29%28u%5E3u%5E8%29%5Cqquad%5Ctext%7Buse%7D%5C%20a%5Ena%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%3D-15t%5E%7B2%2B7%7Du%5E%7B3%2B8%7D%3D-15t%5E9u%5E%7B11%7D)
![11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3](https://tex.z-dn.net/?f=11.%5C%5Cn-the%5C%20number%5C%5C%5C%5Cn%5E2%3Dn%2B6%5Cqquad%5Ctext%7Bsubtract%7D%5C%20n%5C%20%5Ctext%7Band%7D%5C%206%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5Cn%5E2-n-6%3D0%5C%5C%5C%5Cn%5E2%2B2n-3n-6%3D0%5C%5C%5C%5Cn%28n%2B2%29-3%28n%2B2%29%3D0%5C%5C%5C%5C%28n%2B2%29%28n-3%29%3D0%5Ciff%20n%2B2%3D0%5C%20%5Cvee%5C%20n-3%3D0%5C%5C%5C%5Cn%2B2%3D0%5Cqquad%5Ctext%7Bsubtract%202%20from%20both%20sides%7D%5C%5Cn%3D-2%5C%5C%5C%5Cn-3%3D0%5Cqquad%5Ctext%7Badd%203%20to%20both%20sides%7D%5C%5Cn%3D3)
Answer:
It's table D
Step-by-step explanation:
I just took the test.
Answer:
The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.
I hope I was able to help!
Step-by-step explanation:
Answer: Other names for plane C can be plane EFG or plane EBF hope that helps (: