Answer:
B
Step-by-step explanation:
Answer:
The point of maximum growth is at x=0.82
Step-by-step explanation:
Given a logistic function
![f(x)=\frac{24}{1+e^{-1.3x}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B24%7D%7B1%2Be%5E%7B-1.3x%7D%7D)
we have to find the point of maximum growth rate for the logistic function f(x).
From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at
i.e between 0 to 12
So, we can take
and then solve for x.
![\frac{24}{2}=\frac{24}{1+e^{-1.3x}}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B2%7D%3D%5Cfrac%7B24%7D%7B1%2Be%5E%7B-1.3x%7D%7D)
⇒ ![2=1+3\exp{-1.3x}](https://tex.z-dn.net/?f=2%3D1%2B3%5Cexp%7B-1.3x%7D)
⇒
⇒ ![\frac{1}{3}=\exp{-1.3x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%3D%5Cexp%7B-1.3x%7D)
⇒ log 3=-1.3x
⇒ -0.4771=-1.3.x ⇒ x=0.82
Hence, the point of maximum growth is at x=0.82
Answer:
25
Step-by-step explanation:
5x5
5+5+5+5+5
10+10+5
20+5
25
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
Subtract 6 from each side
y+6-6=24-6-2x
y = 18 -2x
Rewriting
y = -2x+18
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is 18