Answer:
3/2
Step-by-step explanation:
formula k = y/x
comes from
y = kx
k = constant of variation
when y = 3 , x = 2
k = 3/2
Solution:
Given :
.............(1)
where, B = aP = birth rate
D =
= death rate
Now initial population at t = 0, we have
= 220 ,
= 9 ,
= 15
Now equation (1) can be written as :

.................(2)
Now this equation is similar to the logistic differential equation which is ,

where M = limiting population / carrying capacity
This gives us M = a/b
Now we can find the value of a and b at t=0 and substitute for M
and 
So, 
= 
= 132
Now from equation (2), we get the constants
k = b = 
= 
The population P(t) from logistic equation is calculated by :



As per question, P(t) = 110% of M



Now taking natural logs on both the sides we get
t = 36.216
Number of months = 36.216
Answer:
x² - 2x + 3
Step-by-step explanation:
y = (x - 1)² + 2
= (x - 1)² + 2 [a - b]² = <em><u>a²- 2ab + b²</u></em>
= x²- 2x + 1 + 2
= x² - 2x + 3
Thus, the standard form of the equation is x² - 2x + 3
2x+5squared or 4x^2 + 20x + 25
32,64,128
Hope i helped :)