Answer:
6
Step-by-step explanation:
Answer:
<h2>
![( f - g)(x) = \frac{2x - \sqrt{x} + 14 }{3x}](https://tex.z-dn.net/?f=%28%20f%20-%20g%29%28x%29%20%20%3D%20%20%5Cfrac%7B2x%20-%20%20%5Csqrt%7Bx%7D%20%2B%2014%20%7D%7B3x%7D)
</h2>
Step-by-step explanation:
![f(x) = \frac{2x + 6}{3x} \\ \\ g(x) = \frac{ \sqrt{x} - 8}{3x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B2x%20%2B%206%7D%7B3x%7D%20%20%5C%5C%20%20%5C%5C%20g%28x%29%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7Bx%7D%20%20-%208%7D%7B3x%7D%20)
To find ( f - g)(x) , subtract g(x) from f(x)
That's
![( f - g)(x) = \frac{2x + 6}{3x} - \frac{ \sqrt{x} - 8}{3x}](https://tex.z-dn.net/?f=%28%20f%20-%20g%29%28x%29%20%3D%20%20%5Cfrac%7B2x%20%2B%206%7D%7B3x%7D%20%20-%20%20%5Cfrac%7B%20%5Csqrt%7Bx%7D%20%20-%208%7D%7B3x%7D%20)
Since they have a common denominator that's 3x we can subtract them directly
That's
![\frac{2x + 6}{3x} - \frac{ \sqrt{x} - 8}{3x} = \frac{2x + 6 - ( \sqrt{x} - 8) }{3x} \\ = \frac{2x + 6 - \sqrt{x} + 8 }{3x} \\ = \frac{2x - \sqrt{x} + 6 + 8 }{3x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%20%20%2B%20%206%7D%7B3x%7D%20%20-%20%20%5Cfrac%7B%20%5Csqrt%7Bx%7D%20%20-%208%7D%7B3x%7D%20%20%20%20%3D%20%20%5Cfrac%7B2x%20%20%2B%206%20-%20%28%20%5Csqrt%7Bx%7D%20-%208%29%20%7D%7B3x%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2x%20%2B%206%20-%20%20%5Csqrt%7Bx%7D%20%2B%208%20%7D%7B3x%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2x%20-%20%20%5Csqrt%7Bx%7D%20%2B%206%20%2B%208%20%7D%7B3x%7D%20)
We have the final answer as
<h3>
![( f - g)(x) = \frac{2x - \sqrt{x} + 14 }{3x}](https://tex.z-dn.net/?f=%28%20f%20-%20g%29%28x%29%20%20%3D%20%20%5Cfrac%7B2x%20-%20%20%5Csqrt%7Bx%7D%20%2B%2014%20%7D%7B3x%7D%20)
</h3>
Hope this helps you
Answer:
I have proven m is 10. have a good day and give brainliest if possible.
Answer:PLEASE HELP ME
Step-by-step explanation:
here can you guys please help me with this question.
I have been asking help from so many people but no one is nice enough to give it so im hoping that anyone over here can help me. this is the problem
Carl is standing at the base of a zip line which is 400 ft away from the base of the building that is connected to the top of a building. Standing 5.5 ft tall, he looks up to the top of the building at an angle of elevation of 25 degrees. A weight is released and travels down the zip line to his feet. How far did the weight travel? Round to nearest 10th of a foot and do not use units in your answer.
Please show work
Answer:
I think it would be 88
Step-by-step explanation:
208-120=88
hope this helps! :)