Answer:

Step-by-step explanation:
We have been given that

We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes - 

And g(x) can be written as

Thus, we have

On cancelling the common factors, we get

Answer: 
Step-by-step explanation:
<u>Given expression</u>
4x³ + 24x² - 288x
<u>Factorize 4x out from the expression</u>
4x · x² + 4x · 6x - 4x · 72
4x (x² + 6x - 72)
<u>Cross multiply to factorize the remaining polynomial expression</u>
<em>The meaning is to allow the factored product of the constant to add up to the first-degree term</em>
x 12
x -6
<u>Combine the result</u>

Hope this helps!! :)
Please let me know if you have any questions
Answer:
6/8 or 3/4
Step-by-step explanation:
Because the denominator is the same, just add all the numerators, 1+2=3, then 3+3=6. So 6/8 or when simplified, 3/4.
Answer:
150,000*3^t for 6 hour increments (t=1 is 6 hours t=2 is 12)
150,000*3^(t/6) for hourly increments, each t is 1 hour.
Step-by-step explanation:
Well super simply you could do 150,000*3^t where t is measured in 6 hour intervals. so t=1 is 6 hours, and to get 1 hour you would need to do t=1/6
If you want t to be an increase of every hour you would just need to adjust, like I showed before 1/6 gets one hour so 150,000*3^(t/6) would be the model where every t increases by 1 hour.