Answer:
D. $56
Step-by-step explanation:
Sandra's taxable income is $39,250.
That amount works for range 2 ($39,250 - $39,300), so her tax is $5,944.
Sandra paid $6,000 in FWT (federal withholding tax), which is greater than $5,944, so we need the refund here.
Subtract 5,944 from 6,000 to get the refund.
6,000 - 5,944
We can go on ahead and just make this 100 - 44 (5,900 - 5,900 = 0).
100 - 44
Her refund is $56.
Y=2/3x+2/3 bc slope is 2/3 and 4-2/4-1=2/3
1 kilogram = 2.2 pounds
45 kilograms = 2.2 x 45 = 99 pounds
Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1