Answer:
- <em>After 1 minute, the population in a colony at 20ºC will be greater than the population in a colony at 30ºC.</em>
Explanation:
The specific question is added on the comments section: <em>After 1 minute, will the population be greater in a colony at 20ºC or 30ºC? Explain</em>
<h2><em>Solution</em></h2>
<u><em>How will the colonies compare in size? </em></u>
To answer this you can either evaluate each polynomial at the corresponding time and then compare or you can subtract the polynomials and then evaluate the resulting polynomial.
I choose the second opion:
20ºC 30ºC
↓ ↓
- <em> t² + 4t + 4 - (t² + 3t + 4 ) = t² - t² + 4t - 3t + 4 - 4 = t</em>
The difference is t (remember that this is number of bacteria).
Evaluate when the time is 1 minute.
In the polynomials, t is in seconds. Then, convert 1 minute to seconds:
Then, t = 60 bacteria is the difference.
Thus, the colony has 60 more bacteria when the temperature is 20ºC than when the temperature is 30ºC.
In fact, since t is always greater than 0, the colony at 20ºC will always have more bacteria than the colony at 30ºC.
Step-by-step explanation:
x - 1 + 5x = 23
6x - 1 = 23
6x = 23 + 1 = 24
6x = 24
x = 24/6
x = 4 ans.
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You need to multiply 21 by $4.65, which gets you $97.65
Y = 9x + 47
and
xy = 18601860
substitute for y in second equation:-
x(9x + 47) = 18601860
9x^2 + 47x - 18601860 = 0
factoring 18601860 is a pain so we use the quadratic formula:-
x = [(-47 +/- sqrt (47^2 - 4*9*-18601860)] / 18
this gives x = 1435 , -1440 so we want x=1435 as its positive
this make y = 9(1435) + 47 = 12962
the 2 integers are 1435 and 12962