Answer:
4.5
Step-by-step explanation:
line them all up in order
3,3,4,4,4,5,6,6,7,8
//// 4,5 /////
median 4.5
Step-by-step explanation:
Let the number be x
2 more than a number = x + 2
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.
It's a right triangle so use pathagreoms theorm or whatever. a²+b²= c²
34° is irrelevant
once you get c² you have to √ to it
c is x btw
Answer:
![(x - 2y)((x - 2y) - 4) + 4](https://tex.z-dn.net/?f=%28x%20-%202y%29%28%28x%20-%202y%29%20-%204%29%20%2B%204)
Step-by-step explanation:
Given
![x^2 - 4xy - 4x + 4y^2 + 8y + 4](https://tex.z-dn.net/?f=x%5E2%20-%204xy%20-%204x%20%2B%204y%5E2%20%2B%208y%20%2B%204)
Required
Factorize
![x^2 - 4xy - 4x + 4y^2 + 8y + 4](https://tex.z-dn.net/?f=x%5E2%20-%204xy%20-%204x%20%2B%204y%5E2%20%2B%208y%20%2B%204)
Rearrange
![x^2 - 4xy + 4y^2- 4x + 8y + 4](https://tex.z-dn.net/?f=x%5E2%20-%204xy%20%2B%204y%5E2-%204x%20%20%2B%208y%20%2B%204)
Group into three
![(x^2 - 4xy + 4y^2)- (4x - 8y) + (4)](https://tex.z-dn.net/?f=%28x%5E2%20-%204xy%20%2B%204y%5E2%29-%20%284x%20%20-%208y%29%20%2B%20%284%29)
Factorize the first bracket
![(x^2 - 2xy- 2xy + 4y^2) - (4x - 8y) + (4)](https://tex.z-dn.net/?f=%28x%5E2%20-%202xy-%202xy%20%2B%204y%5E2%29%20-%20%284x%20%20-%208y%29%20%2B%20%284%29)
![x(x - 2y) - 2y(x - 2y)- (4x - 8y) + (4)](https://tex.z-dn.net/?f=x%28x%20-%202y%29%20-%202y%28x%20-%202y%29-%20%284x%20%20-%208y%29%20%2B%20%284%29)
![(x - 2y)(x - 2y) - (4x - 8y) + (4)](https://tex.z-dn.net/?f=%28x%20-%202y%29%28x%20-%202y%29%20-%20%284x%20%20-%208y%29%20%2B%20%284%29)
Factorize the second bracket
![(x - 2y)(x - 2y) - 4(x - 2y) + 4](https://tex.z-dn.net/?f=%28x%20-%202y%29%28x%20-%202y%29%20-%204%28x%20%20-%202y%29%20%2B%204)
x - 2y is a common factor of ![(x - 2y)(x - 2y) - 4(x - 2y)](https://tex.z-dn.net/?f=%28x%20-%202y%29%28x%20-%202y%29%20-%204%28x%20%20-%202y%29)
So, the expression becomes
![(x - 2y)((x - 2y) - 4) + 4](https://tex.z-dn.net/?f=%28x%20-%202y%29%28%28x%20-%202y%29%20-%204%29%20%2B%204)
The expression cannot be further simplified;
<em>Hence, </em>
<em> is equivalent to </em>
<em></em>