Step-by-step explanation:
No. If you distribute the 'x', you get:
![y = {x}^{2} + 3x](https://tex.z-dn.net/?f=y%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x)
The function is quadratic due to the exponetial term of x^2
Answer:
![m + b=2](https://tex.z-dn.net/?f=m%20%2B%20b%3D2)
Step-by-step explanation:
From the question we are told that
The non separable differential equation ![\frac{dy}{dx} = 8x - 2y](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%208x%20-%202y)
Generally the chi form of a give equation is mathematically represented as
![\frac{dy}{dx} +P(x)y= q(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%2BP%28x%29y%3D%20q%28x%29)
![\frac{dy}{dx} + 2y = 8x](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%2B%202y%20%3D%208x)
![ye^2^x=\int e^2^.8xdxx](https://tex.z-dn.net/?f=ye%5E2%5Ex%3D%5Cint%20e%5E2%5E.8xdxx)
![ye^2^x=8(\frac{xe^2^x}{2}-\frac{\int e^2^x}{2})](https://tex.z-dn.net/?f=ye%5E2%5Ex%3D8%28%5Cfrac%7Bxe%5E2%5Ex%7D%7B2%7D-%5Cfrac%7B%5Cint%20e%5E2%5Ex%7D%7B2%7D%29)
![ye^2^x=8(\frac{xe^2^x}{2}-\frac{e^2^x}{1})+c\\](https://tex.z-dn.net/?f=ye%5E2%5Ex%3D8%28%5Cfrac%7Bxe%5E2%5Ex%7D%7B2%7D-%5Cfrac%7Be%5E2%5Ex%7D%7B1%7D%29%2Bc%5C%5C)
![ye^2^x=4x^2^x-2e^2^x+c](https://tex.z-dn.net/?f=ye%5E2%5Ex%3D4x%5E2%5Ex-2e%5E2%5Ex%2Bc)
![y=4x-2+c](https://tex.z-dn.net/?f=y%3D4x-2%2Bc)
for c=0
![y=4x-2](https://tex.z-dn.net/?f=y%3D4x-2)
Therefore
![m=4\\b=-2\\m + b=4-(+2)](https://tex.z-dn.net/?f=m%3D4%5C%5Cb%3D-2%5C%5Cm%20%2B%20b%3D4-%28%2B2%29)
![m + b=2](https://tex.z-dn.net/?f=m%20%2B%20b%3D2)
Answer:
Step-by-step explanation:
x +2y = 8 ----- (I)
x = 8 - 2y
x - 3y = 6 -------(II)
Substitute x = 8 - 2y in equation (II)
8 - 2y - 3y = 6 {add like terms}
8 - 5y = 6
Subtract 8 form both sides
-5y = 6- 8
-5y = -2
Divide both sides by -5
-5y/-5 = -2/-5
y = 2/5
Substitute y = 2/5 in equation (I)
![x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}](https://tex.z-dn.net/?f=x%2B2%2A%5Cfrac%7B2%7D%7B5%7D%3D8%5C%5C%5C%5Cx%2B%5Cfrac%7B4%7D%7B5%7D%3D8%5C%5C%5C%5Cx%3D8-%20%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B8%2A5%7D%7B1%2A5%7D-%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B40%7D%7B5%7D-%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B36%7D%7B5%7D)
x = 36/5
Answer:
96 oz.
Step-by-step explanation:
Mary drinks 24 ounces a day Lena drinks 3 times a much
24 x 3 = 72
72 + 24 = 96