The solution to the answer is as follows:
We have...
y = (x + 9)(x + 6)
Then...
<span>y = (x + 5(9)) (x + 5(6))
</span>
= (x + 45) (x + 30)
<span>Hence, the x-intercepts are -45 and 30.
</span>I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
Shown Below
Step-by-step explanation:
The question says:
![f(x)=3x^3+5](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2B5)
![g(x)=\sqrt[3]{\frac{x-5}{3}}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-5%7D%7B3%7D%7D)
And it says to verify that both functions are inverses of each other.
To show this, we have to understand one composition of function property. When 2 functions are inverses of each other, the composition of both functions should yield "x". In notation:
(f o g)(x) = f(g(x)) = x
and
(g o f)(x) = g(f(x)) = x
So, we need to show that putting f(x) into g(x) and putting g(x) into f(x) both yields "x". Lets show this:
First:
![(fog)(x)=f(g(x))=3(\sqrt[3]{\frac{x-5}{3}} )^3+5=3(\frac{x-5}{3})+5=x-5+5=x](https://tex.z-dn.net/?f=%28fog%29%28x%29%3Df%28g%28x%29%29%3D3%28%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-5%7D%7B3%7D%7D%20%29%5E3%2B5%3D3%28%5Cfrac%7Bx-5%7D%7B3%7D%29%2B5%3Dx-5%2B5%3Dx)
Verified.
Second:
![(gof)(x)=g(f(x))=\sqrt[3]{\frac{(3x^3+5)-5}{3}}=\sqrt[3]{\frac{3x^3}{3}}=\sqrt[3]{x^3} =x](https://tex.z-dn.net/?f=%28gof%29%28x%29%3Dg%28f%28x%29%29%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B%283x%5E3%2B5%29-5%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3x%5E3%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3Dx)
Verified.
We have shown that both the functions are inverse of each other.
1. Equilateral
2. Isosceles<span />
You have to do 18/108 then move the decimal point over two places and then the answer would be 16%.
Okay. Since the "y" value and 82* are on the same straight line, their values will always add up to make a sum of 180. So if you subtract 82 from 180 you get 98*. So your "y" value is equal to 98*.
Now, all of the degree values added together should give you a sum of 360, so now we must add the values we know, in order to find the "x" value. So, 112*+82*+98*=292. Now we know that the difference of 360 and 292 will give us the x value. So finally, 360-292=68. So your "x" value is equal to 68.
y=98
x=68