Answer:
y - 6 = -7(x + 8)
Step-by-step explanation:
Slope: m = (y2-y1)/(x2-x1) = (6 - -1)/(-8 - -7) = (6 + 1)/(-8 + 7) = 7/-1 = -7
Point-slope form: y - 6 = -7(x - -8)
=> y - 6 = -7(x + 8)
Probably the answer:
Probably A. but I didn't read it and I just wanted to say this...
Answer:
Eather one of the answers above
X = Tuesday
y = Wednesday
x + 3x + y - 8 = 20
She sold 4 books Tuesday, 12 books Wednesday, and 4 books Thursday
Answer:
The first derivative of
is
.
Step-by-step explanation:
Let
, we apply natural logarithms in both sides of the expression:
![\ln y = \ln x\cdot e^{y}](https://tex.z-dn.net/?f=%5Cln%20y%20%3D%20%5Cln%20x%5Ccdot%20e%5E%7By%7D)
![\ln y = \ln x +\ln e^{y}](https://tex.z-dn.net/?f=%5Cln%20y%20%3D%20%5Cln%20x%20%2B%5Cln%20e%5E%7By%7D)
![\ln y = \ln x +y](https://tex.z-dn.net/?f=%5Cln%20y%20%3D%20%5Cln%20x%20%2By)
(1)
Then, we differentiate (1) respect to
:
![\frac{y'}{y}-y' = \frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7By%27%7D%7By%7D-y%27%20%3D%20%5Cfrac%7B1%7D%7Bx%7D)
![y'\cdot \left(\frac{1}{y}-1\right) = \frac{1}{x}](https://tex.z-dn.net/?f=y%27%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7By%7D-1%5Cright%29%20%3D%20%5Cfrac%7B1%7D%7Bx%7D)
![y'\cdot \left(\frac{1-y}{y} \right) = \frac{1}{x}](https://tex.z-dn.net/?f=y%27%5Ccdot%20%5Cleft%28%5Cfrac%7B1-y%7D%7By%7D%20%5Cright%29%20%3D%20%5Cfrac%7B1%7D%7Bx%7D)
![y' = \frac{1}{x}\cdot \left(\frac{y}{1-y} \right)](https://tex.z-dn.net/?f=y%27%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%5Ccdot%20%5Cleft%28%5Cfrac%7By%7D%7B1-y%7D%20%5Cright%29)
![y' = \frac{1}{x}\cdot \left(\frac{x\cdot e^{y}}{1-x\cdot e^{y}} \right)](https://tex.z-dn.net/?f=y%27%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%5Ccdot%20%5Cleft%28%5Cfrac%7Bx%5Ccdot%20e%5E%7By%7D%7D%7B1-x%5Ccdot%20e%5E%7By%7D%7D%20%5Cright%29)
![y' = \frac{e^{y}}{1-x\cdot e^{y}}](https://tex.z-dn.net/?f=y%27%20%3D%20%5Cfrac%7Be%5E%7By%7D%7D%7B1-x%5Ccdot%20e%5E%7By%7D%7D)