Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
We have a + b = 180 and a = 12 + b;
Then, 12 + b + b = 180;
12 + 2b = 180;
2b = 168;
b = 84;
a = 12 + 84;
a = 96;
5k/2G is the answer to the problem.
Answer:
Step-by-step explanation:
She has 28056 before any deductions are taken off. As far as the IRS is concerned every penny she earns is fully accountable for the 4 categories that she has to pay into.
The problem with the question is you are not told what is wanted. Do they want the income before or after the deductions have been made or do they want the accountable sum (28056)? I don't really know. 28056 is one possible answer.
Total deductions
- Federal Tax 3780.90
- State Tax 770.98
- Medicare 406.81
- SSI <u>1739.47</u>
- All Deductions 6698.16
Income = 28056 - 6698.16 = 21357.84
I think the answer you want is 28056
One answer it is not is 4*28056 = 112224. The tax is far too low for that kind of income.
