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.
7 9
8 10
you switch the division sign to multiply and put 10 and then multiply to get 63
9 80 then divide to get your answers
It is number 1 and number 2 because the equation is 242× 62 and Number 1 and 2 are just breaking it down
<u>Solution-</u>
1- When rotating a figure 180 degrees around the origin (As it does not matter whether you move clockwise or counter-clockwise), we apply the rule (x, y) → (-x, -y).
Co-ordinates of the vertices,
P = (1, -1)
Q = (3, -2)
R = (3, -4)
And then calculating the co-ordinates of P', Q', R'
P' = (-1, 1)
Q' = (-3, 2)
R' = (-3, 4)
2- When reflecting a figure across X-axis, we apply the rule (x, y) → (x, -y).
Co-ordinates of the vertices,
P' = (-1, 1)
Q' = (-3, 2)
R' = (-3, 4)
And then calculating the co-ordinates of P'', Q'', R''
P'' = (-1, -1)
Q'' = (-3, -2)
R'' = (-3, -4)