Answer:
The factorized form of the given expression is ![4 [(a-1)^2 - b(a - 1 + \frac{b}{4})]](https://tex.z-dn.net/?f=4%20%5B%28a-1%29%5E2%20-%20b%28a%20-%201%20%2B%20%5Cfrac%7Bb%7D%7B4%7D%29%5D)
Step-by-step explanation:
Given;
4a² + b² - 4ab - 8a + 4b + 4
This expression is factorized as follows;
(4a² - 8a + 4) + (b² - 4ab + 4b)
(4a² - 4a - 4a + 4) + b² - 4b(a - 1)
(4a - 4)(a - 1) + b² - 4b(a - 1)
(4a - 4)(a - 1) - 4b(a - 1) + b²
4(a - 1)(a - 1) - 4b(a - 1) + b²
4(a - 1)² - 4b(a - 1 + b/4)
![4(a- 1)^2 - 4b(a - 1 + \frac{b}{4} )\\\\4 [(a-1)^2 - b(a - 1 + \frac{b}{4})]](https://tex.z-dn.net/?f=4%28a-%201%29%5E2%20-%204b%28a%20-%201%20%2B%20%5Cfrac%7Bb%7D%7B4%7D%20%29%5C%5C%5C%5C4%20%5B%28a-1%29%5E2%20-%20b%28a%20-%201%20%2B%20%5Cfrac%7Bb%7D%7B4%7D%29%5D)
Answer: 0.02 per year
Step-by-step explanation:
When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:
= per capita birth rate - per capita death rate
= 0.11 - 0.09
= 0.02/year
= 2% per year
5 gallons x gallons
------------- = ----------------
12 hours 240 hours
using cross products
5 * 240 = 12 * x
1200 = 12 x
divide each side by 12
1200/12 = 12x/12
100 =x
You will need 100 gallons
Answer:
Domain is -3
Step-by-step explanation:
Given that coordinate of a graph is (-3, -2)
We have to find out the domain.
We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.
Domain is the set of values of A which have images in B.
Use the above definition.
We have A = {-3,...} and B = {-2,....}
The mapping is from -3 to -2
Hence domain is -3
