Answer: 2.
Step-by-step explanation:
if you were to divide 418752 by 18 you would get a clear (without decimal) number, that would equal 23264
Answer: $30,904.49
Step-by-step explanation:
I’m not sure if I did this right but it was the same was as the other question
Answer:
It is by definition. 210 means 21 tens or 21 * 10. 30 means 3 tens or 3*10.
Since there is a ten on the top and bottom of the divisor 210/30 is also the same thing as 21/3. All of which is 7 and all of which is true by definition.
Step-by-step explanation:
X = -4 + e to the sixth power
Answer:
![(\frac{f}{g})(x) = \frac{x- 3}{2x + 1}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%20%5Cfrac%7Bx-%203%7D%7B2x%20%2B%201%7D)
Step-by-step explanation:
Given
![f(x) =x^2 -x - 6](https://tex.z-dn.net/?f=f%28x%29%20%3Dx%5E2%20-x%20-%206)
![g(x) = 2x^2 + 5x + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%202x%5E2%20%2B%205x%20%2B%202)
Required
![(\frac{f}{g})(x)](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29)
This is calculated as:
![(\frac{f}{g})(x) = \frac{f(x)}{g(x)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%20%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D)
So, we have:
![(\frac{f}{g})(x) = \frac{x^2 - x - 6}{2x^2 + 5x + 2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%20%5Cfrac%7Bx%5E2%20-%20x%20-%206%7D%7B2x%5E2%20%2B%205x%20%2B%202%7D)
Expand
![(\frac{f}{g})(x) = \frac{x^2 +2x - 3x - 6}{2x^2 + 4x+x + 2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%20%5Cfrac%7Bx%5E2%20%2B2x%20-%203x%20-%206%7D%7B2x%5E2%20%2B%204x%2Bx%20%2B%202%7D)
Factorize
![(\frac{f}{g})(x) = \frac{x(x +2) - 3(x + 2)}{2x(x + 2)+1(x + 2)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%20%5Cfrac%7Bx%28x%20%2B2%29%20-%203%28x%20%2B%202%29%7D%7B2x%28x%20%2B%202%29%2B1%28x%20%2B%202%29%7D)
Factor out x + 2
![(\frac{f}{g})(x) = \frac{(x- 3)(x + 2)}{(2x + 1)(x + 2)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%20%5Cfrac%7B%28x-%203%29%28x%20%2B%202%29%7D%7B%282x%20%2B%201%29%28x%20%2B%202%29%7D)
Cancel out x + 2
![(\frac{f}{g})(x) = \frac{x- 3}{2x + 1}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%20%5Cfrac%7Bx-%203%7D%7B2x%20%2B%201%7D)