Answer:
f(g(x))=(x-2)^2 - 7
(x-2)(x-2) - 7
x^2-2x-2x+4-7
x^2-4x-3
g(f(x))=x^2-2-7
x^2-9
(x+3)(x-3)
Step-by-step explanation:
- to solve for f(x), replace x with the g(x).
- since we don't multiply a bracket with the negative or the positive signs to the
- exponent, you have to factor into two binomials.
- use the FOIL method to eliminate the brackets.
- add like-terms
- to find g(x), replace x with the f(x).
- add like-terms
- since there's difference of square, factor them into two binomials
8- 1/3 quarts
4- 2/3 quarts
Answer:
8,566,379,470 people
Step-by-step explanation:
Let's start simple. In order to find the population increase on January 1, 2006, we need to multiply 6,486,915,022 by 1.4% and add it to 6,486,915,022.
- 6,486,915,022*1.4% = 90,816,810.308
- 90,816,810.308+6,486,915,022 = 6,577,731,832.31 people on January 2006.
Note that the above two steps gives the same answer as 6,486,915,022*1.014.
So we need to do this for each year. 20 years pass between 1/1/2005 and 1/1/2025.
We need to do 6,486,915,022*1.014*1.014*1.014... 20 times.
This is equivalent to
.
Multiplying it out gives us 8566379470.2 = 8,566,379,470 people.
9514 1404 393
Answer:
f(x) = -4x^2 +48x -129
Step-by-step explanation:
It usually works well to compute the square first. That is, simplify according to the order of operations.
f(x) = -4(x^2 -12x +36) +15
f(x) = -4x^2 +48x -144 +15
f(x) = -4x^2 +48x -129
B=29.4 !!!!!!!! this how i do it