Answer:
The population of bacteria can be expressed as a function of number of days.
Population = ![\[5*2^{n-1}\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7Bn-1%7D%5C%5D)
where n is the number of days since the beginning.
Step-by-step explanation:
Number of bacteria on the first day=![\[5 * 2^{0} = 5\]](https://tex.z-dn.net/?f=%5C%5B5%20%2A%202%5E%7B0%7D%20%3D%205%5C%5D)
Number of bacteria on the second day = ![\[5 * 2^{1} = 10\]](https://tex.z-dn.net/?f=%5C%5B5%20%2A%202%5E%7B1%7D%20%3D%2010%5C%5D)
Number of bacteria on the third day = ![\[5*2^{2} = 20\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7B2%7D%20%3D%2020%5C%5D)
Number of bacteria on the fourth day = ![\[5*2^{3} = 40\]](https://tex.z-dn.net/?f=%5C%5B5%2A2%5E%7B3%7D%20%3D%2040%5C%5D)
As we can see , the number of bacteria on any given day is a function of the number of days n.
This expression can be expressed generally as where n is the number of days since the beginning.
Answer:
Step-by-step explanation:
Analyzing the growth rate of 1.07:
If the growth rate is a number greater than 1, we have exponential growth; if the growth rate is a number greater than 0 but less than 1, we have exponential decay.
Our growth rate is actually growth. But the rate of growth is not 107%. The rate of growth means that we already had 100% of the population and that it is growing by 7% each year. 100% + 7% = 107%; as a decimal, 1.07
So the rate of growth is 7%
Answer:
The inverse is ±sqrt(x/6)
Step-by-step explanation:
Let y = 6x^2
To find the inverse, exchange x and y and then solve for y
Exchange x and y
x = 6y^2
Solve for y
Divide each side by 6
x/6 = 6y^2 /6
x/6 = y^2
Take the square root of each side
±sqrt(x/6) = sqrt(y^2)
±sqrt(x/6) =y
The inverse is ±sqrt(x/6)
Answer:
140
Step-by-step explanation:
Answer:
Add like terms 7x - 9
Step-by-step explanation:
