The solution is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
You spend $50 on supplies and plan to charge $10 per hour.
Your brother spends $30 on supplies and plans to charge $8 per hour.
Let X = hours worked,
and Y = money earned
This is your equation : y = 10x - 50
This is your brothers : y = 8x - 30
Now, we know that you have to work to make the same amount of $$ (y value)
So set it equal to each other, ** 10x-50 = 8x-30 **
10x-8x= -30+50
2x=20
x=10.
The answer is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
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You cannot evaluate for (g o f)(0). You will get an undefined answer.
(g o f)(x) tells you to plug in the f(x) function for the x-variable in the g(x) equation; so it would be like saying g(f(x)). This would result in (g o f)(x) = (1/x) - 4. Now plug in 0, (g o f)(0) = 1/0 - 4. One cannot divide by zero in order to simplify the equation and get an answer... unless an undefined answer counts, which I'm pretty sure it doesn't.