Step-by-step explanation:
I'm not sure if I got the correct answer since English is not my first language
Factories both equations:
5(x - 4) / (x + 2)(x - 4)
Then take out the common brackets:
5 / x + 2
Minus 2 from both sides:
3 / x
If you are looking for the greatest common factor of the numerator and denominator, the answer would be (x - 4)
Answer:
19 days
Step-by-step explanation:
Given
--- initial
-- rate
Required
Days when the fish gets to 30
The function is exponential and as such it follows;

Where x represents the number of days and y the number of fishes
Because the fishes decreases;

So, we have:

Express as decimal


In 



So, we have:

Divide both sides by 150

Take log of both sides

Apply law of logarithm

Make x the subject




<em>Hence, it takes approximately 19 days</em>
Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.