Answer:
89
Step-by-step explanation:
Plug 9 into the equation;
![m(9)= (9)^2+8](https://tex.z-dn.net/?f=m%289%29%3D%20%289%29%5E2%2B8)
![9^2=81\\81+8=89](https://tex.z-dn.net/?f=9%5E2%3D81%5C%5C81%2B8%3D89)
Answer:
5x
Step-by-step explanation:
Answer:
![\sqrt{(\frac{9c^{16} }{d^{4} })^{3} }=\frac{9c^{16} }{d^{4} } \sqrt{\frac{9c^{16}}{d^{4}} } \\\\= \frac{9c^{16} }{d^{4} }.\frac{3c^{8} }{d^{2} }=\frac{27c^{24} }{d^{6} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5Cfrac%7B9c%5E%7B16%7D%20%7D%7Bd%5E%7B4%7D%20%7D%29%5E%7B3%7D%20%20%20%7D%3D%5Cfrac%7B9c%5E%7B16%7D%20%7D%7Bd%5E%7B4%7D%20%7D%20%5Csqrt%7B%5Cfrac%7B9c%5E%7B16%7D%7D%7Bd%5E%7B4%7D%7D%20%7D%20%5C%5C%5C%5C%3D%20%20%5Cfrac%7B9c%5E%7B16%7D%20%7D%7Bd%5E%7B4%7D%20%7D.%5Cfrac%7B3c%5E%7B8%7D%20%7D%7Bd%5E%7B2%7D%20%7D%3D%5Cfrac%7B27c%5E%7B24%7D%20%7D%7Bd%5E%7B6%7D%20%7D)
=> Amelia's answer is incorrect
Step-by-step explanation:
Answer:
Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x
Step-by-step explanation:
Let us go through each of the equations one by one.
Equation A: ![2.3y+2+3.1y=4.3y+1.6+1.1y+0.4](https://tex.z-dn.net/?f=2.3y%2B2%2B3.1y%3D4.3y%2B1.6%2B1.1y%2B0.4)
This simplifies to
![5.4y+2=5.4y+2](https://tex.z-dn.net/?f=5.4y%2B2%3D5.4y%2B2)
which has infinitely many solutions.
Equation B: ![32x+25-21x=10x](https://tex.z-dn.net/?f=32x%2B25-21x%3D10x)
this simplifies to
![x+25=0](https://tex.z-dn.net/?f=x%2B25%3D0)
![x=-25](https://tex.z-dn.net/?f=x%3D-25)
which is exactly one solution.
Equation C: ![\frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%20x%2B2.5%3D%5Cfrac%7B3%7D%7B8%7Dx%2B1.5%2B%5Cfrac%7B1%7D%7B4%7D%20x)
this simplifies to
![\frac{5}{8} x+2.5=\frac{5}{8} +1.5](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%20x%2B2.5%3D%5Cfrac%7B5%7D%7B8%7D%20%2B1.5)
![2.5=1.5](https://tex.z-dn.net/?f=2.5%3D1.5)
There's no way this is going to be possible; this equation has no solutions.
Equation D: ![\frac{1}{3} x+\frac{1}{7} x=\frac{3}{7} x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20x%2B%5Cfrac%7B1%7D%7B7%7D%20x%3D%5Cfrac%7B3%7D%7B7%7D%20x)
this gives
![\frac{1}{3} =\frac{2}{7} y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B2%7D%7B7%7D%20y)
![y=\frac{7}{6}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B7%7D%7B6%7D)
which is exactly one solution.
Thus we see that it is equation C that has no solutions.