Answer:
x² + 2x + y² + 4y = 20
(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20
(x + 2)² + (y + 4)² - 5 = 20
(x + 2)² + (y + 4)² = 25
Therefore, the center is (-2, -4) and the radius is √25 = 5.
Answer:
The only non-zero fixed point is: x = 9/A.
The Step-by-step explanation:
A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:
g(x) = x
x(10 - Ax) = x
10x - Ax² = x
10x - x -Ax² = 0
9x - Ax² = 0
Ax² - 9x = 0
The solutions of this second order equation are:
x = 0 and x = 9/A.
Since we are only asked for the non-zero fixed points, the solution is: 9/A.
Answer:
Lots of steps and answers. Look at the picture.
Step-by-step explanation:
Answer: The greatest depth of the Southern Ocean is 7.24
Step-by-step explanation:
So, if you add all the greatest depths up, you get 33.23
(33.23 + x)/5 = 8.094
Multiply each side by 5
33.23 + x = 40.47
Subtract 33.23 from each side
x = 7.24
You can check this by adding all the numbers up and dividing them by 5
40.47/5 = 8.094
Answer:
The answer is 1. an exponential pattern ,friend (: