X = 42 and y = - 23 are the two numbers
Answer:
The coefficient of 6m is 6
Step-by-step explanation:
Answer:
I believe it would be -3,4.
Step-by-step explanation:
To find slope you use rise over run, where you count up first, then go to the side. If you count down on the left you count 3 boxes, but since its going down its negative. And to get the run you count over 4. Meaning it's -3,4
How to factor it?
<span>-(4t^2-5t-6)
</span>=
-(t-2)(4t+3)
Try Mathway .com
Answer:
Step-by-step explanation:
a.
An implicit expression is a relation of the form y = f(x) where f is a a function with x as a variable.
On integrating both sides, we get
We know that 
.
Therefore,
![\int \frac{dy}{y(4-y)}=\int \frac{1}{2}\,dt\\\frac{1}{4}\int \frac{1}{y}+\frac{1}{4-y}\,dy=\int \frac{1}{2}\,dt\\\frac{1}{4}\left [ \ln y-\ln (4-y) \right ] =\frac{t}{2}+C](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7Bdy%7D%7By%284-y%29%7D%3D%5Cint%20%5Cfrac%7B1%7D%7B2%7D%5C%2Cdt%5C%5C%5Cfrac%7B1%7D%7B4%7D%5Cint%20%5Cfrac%7B1%7D%7By%7D%2B%5Cfrac%7B1%7D%7B4-y%7D%5C%2Cdy%3D%5Cint%20%5Cfrac%7B1%7D%7B2%7D%5C%2Cdt%5C%5C%5Cfrac%7B1%7D%7B4%7D%5Cleft%20%5B%20%5Cln%20y-%5Cln%20%284-y%29%20%5Cright%20%5D%20%3D%5Cfrac%7Bt%7D%7B2%7D%2BC)
As 
,
So, ![\frac{1}{4}\left [ \ln y-\ln (4-y) \right ] =\frac{t}{2}-\frac{\ln 3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cleft%20%5B%20%5Cln%20y-%5Cln%20%284-y%29%20%5Cright%20%5D%20%3D%5Cfrac%7Bt%7D%7B2%7D-%5Cfrac%7B%5Cln%203%7D%7B4%7D)
b.
![\frac{1}{4}\left [ \ln y-\ln (4-y) \right ] =\frac{t}{2}-\frac{\ln 3}{4}\\\ln y-\ln (4-y)=2t-\ln 3\\\ln \left ( \frac{y}{4-y} \right )=2t-\ln 3\\\frac{y}{4-y}=e^{2t-\ln 3}\\y=(4-y)e^{2t-\ln 3}\\y\left ( 1+e^{2t-\ln 3}\\ \right )=4e^{2t-\ln 3}\\y=\frac{4e^{2t-\ln 3}}{1+e^{2t-\ln 3}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cleft%20%5B%20%5Cln%20y-%5Cln%20%284-y%29%20%5Cright%20%5D%20%3D%5Cfrac%7Bt%7D%7B2%7D-%5Cfrac%7B%5Cln%203%7D%7B4%7D%5C%5C%5Cln%20y-%5Cln%20%284-y%29%3D2t-%5Cln%203%5C%5C%5Cln%20%5Cleft%20%28%20%5Cfrac%7By%7D%7B4-y%7D%20%5Cright%20%29%3D2t-%5Cln%203%5C%5C%5Cfrac%7By%7D%7B4-y%7D%3De%5E%7B2t-%5Cln%203%7D%5C%5Cy%3D%284-y%29e%5E%7B2t-%5Cln%203%7D%5C%5Cy%5Cleft%20%28%201%2Be%5E%7B2t-%5Cln%203%7D%5C%5C%20%5Cright%20%29%3D4e%5E%7B2t-%5Cln%203%7D%5C%5Cy%3D%5Cfrac%7B4e%5E%7B2t-%5Cln%203%7D%7D%7B1%2Be%5E%7B2t-%5Cln%203%7D%7D)
