If you know that 
, then you know right away
###
Otherwise, you can derive the same result. Let 
, so that 
. 
is bounded, so we know 
. For these values of 
, we always have 
.
So, recalling the Pythagorean theorem, we find
Then
as expected.
Answer: 7
Step-by-step explanation:
Solve for x over the real numbers:
3 x^2 + 5 x + 1 = 0
Hint: | Using the quadratic formula, solve for x.
x = (-5 ± sqrt(5^2 - 4×3))/(2×3) = (-5 ± sqrt(25 - 12))/6 = (-5 ± sqrt(13))/6:
Answer: x = (-5 + sqrt(13))/6 or x = (-5 - sqrt(13))/6
If my simplification is valid the answer is:
1.4 % growth each minute
I don’t feel like the representation
P = 120(1.82) is important in this certain problem.
So P the predicted number of bacteria is not practical with this problem.
Use the 82% per hour and divide it by 60 because there are 60 minutes in an hour.
When doing this you find the rate in which bacteria grows which is about 1.4%.
The prediction is about 1.82 percent for 120 something it’s not clarified, but I’m guessing that’s minutes.
So you can prove that the prediction is over the rate in which bacteria grows per minute.
