Step-by-step explanation:
area of triangle=1/2 base×height
<h2>stay safe healthy and happy..</h2>
Answer:
it is B
Step-by-step explanation:
i just did it
The domain of a function is where the x of the function starts and finishes , but as that function doenst have an end or beginning, its domain is a) from negative infinity to infinity
60 divided by 1/5 (.2) is 300
Answer:
![(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%28x%5E2%2B3x%2B9%29)
Step-by-step explanation:
We have been given that
![f(x)=x^3-27,g(x)=3x-9](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-27%2Cg%28x%29%3D3x-9)
We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes - ![a^3-b^3=(a-b)(a^2+ab+b^2)](https://tex.z-dn.net/?f=a%5E3-b%5E3%3D%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29)
![f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-27%5C%5C%5C%5C%3Dx%5E3-3%5E3%5C%5C%5C%5C%3D%28x-3%29%28x%5E2%2B3x%2B9%29)
And g(x) can be written as
![g(x)=3x-9\\=3(x-3)](https://tex.z-dn.net/?f=g%28x%29%3D3x-9%5C%5C%3D3%28x-3%29)
Thus, we have
![(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%3D%5Cfrac%7B%28x-3%29%28x%5E2%2B3x%2B9%29%7D%7B3%28x-3%7D)
On cancelling the common factors, we get
![(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%28x%5E2%2B3x%2B9%29)