Answer:
There were 10 flies originally
Step-by-step explanation:
Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;
V = I(1+r)^d
where V is the number of flies on a particular day
I is the initial number of flies
r is the constant increase in percentage
and d is the number of days.
So we have for the second day;
60 = I(1+r)^2 ••••••(i)
For the fourth day, we have;
360 = I(1+r)^4 ••••••••(ii)
divide equation ii by i; we have;
360/60 = (1+r)^4/(1+r)^2
6 = (1+r)^2
(√6)^2 = (1+r)^2
1 + r = √6
r = √6 - 1
So we can substitute the value of r in any of the equations to get I which is the initial number of flies
Let’s use equation 1
60 = I(1 + r)^2
60 = I(1 + √6 -1)^2
60 = I(√6)^2
60 = 6I
I = 60/6
I = 10 flies
Step-by-step explanation:
If you use synthetic division, you get,
![2x {}^{3} + 2x + 4 + \frac{0}{x + 2}](https://tex.z-dn.net/?f=2x%20%7B%7D%5E%7B3%7D%20%20%2B%202x%20%2B%204%20%2B%20%20%5Cfrac%7B0%7D%7Bx%20%2B%202%7D%20)
Which is,
![2x {}^{3} + 2x + 4](https://tex.z-dn.net/?f=2x%20%7B%7D%5E%7B3%7D%20%20%2B%202x%20%2B%204)
Answered by GAUTHMATH
Answer:
3 because your domain should not repeat