Independent
..............
Oh Foxy, Foxy, how totally debilitated you must be ! Try to relax. Nobody
enjoys a painful brain, and believe me, this problem is not worth it.
Let me put it to you this way: What if the problem said . . .
-- Demarcus has $8 more than his sister.
-- His sister has $4.
-- How much money ' M ' does Demarcus have ?
If your brain didn't hurt, you could quickly solve this right in there.
You would know that Demarcus' money ' M ' = 8 + 4 .
That's <em>almost </em>exactly what the problem <em>does</em> say.
Except it doesn't say he has "$8 more than his sister",
it says he has "at least" that much.
So you know that ' M ' is not exactly = 8 + 4, but that's the <u>least</u> it could be.
The actual amount of ' M ' is <u>more</u> than that.
Surely you can handle it from here, even with half of your brain
tied behind your back.
Take a good hard look at ' A ', and then go lie down.
Answer:
60
skip count to find lest common denominator quickly
For this case we have the following definitions:
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
We then have the following function:
![f (x) = 9 - 4x ^ 2](https://tex.z-dn.net/?f=%20f%20%28x%29%20%3D%209%20-%204x%20%5E%202%20%20)
Applying the definitions we have:
![f (-x) = 9 - 4 (-x) ^ 2\\f (-x) = 9 - 4 (x) ^ 2\\f (-x) = f (x)](https://tex.z-dn.net/?f=%20f%20%28-x%29%20%3D%209%20-%204%20%28-x%29%20%5E%202%5C%5Cf%20%28-x%29%20%3D%209%20-%204%20%28x%29%20%5E%202%5C%5Cf%20%28-x%29%20%3D%20f%20%28x%29%20%20)
Answer:
The function is not odd because it is fulfilled:
![f (-x) = f (x)](https://tex.z-dn.net/?f=%20f%20%28-x%29%20%3D%20f%20%28x%29%20%20)
Therefore, the function is even.