Answer:
120 ways
Step-by-step explanation:
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Let x = taxable income = difference of gross income and deductions T = income tax paid = amount sent to the government Use the "filing jointly" chart on the right side. You'll use the second row of that chart since subtracting $72,380.90-$8,295.00 leads to a value between 16750 and 68000. That second row turns into this equation T=1675+0.15(x-16750<span>) w</span>here <span>16750<x≤68000</span>
Step-by-step explanation:
To figure out your x-intercepts and y-intercepts you have to redo the equation and make it equal to zero.
Step 1: 8x + 9y - 72 = 0
Step 2: 8x + 9y = 72
Now you can figure out your intercepts! As long as you use the STANDARD FORM EQUATION which is Ax + By = C
Y-INTERCEPT (vertical line): (
, 0 )
X-INTERCEPT (horizontal line): ( 0 ,
)
Insert your numbers how it shows in the standard form equation and you should get something like this:
Y-INTERCEPT: (
, 0 )
<em>Simplified Y-INTERCEPT: </em>( 8 , 0 )
X-INTERCEPT: ( 0 ,
)
<em>Simplified X-INTERCEPT: </em><em> ( 0 , 9 )</em>
<em />
Insert that into your graph and you should be able to get your answer.
If some set A has n elements, then it has 2^n subsets.
Using that, the sentence, "The total number of subsets of ‘m’ is 56 more than the total number of subsets of ‘n’." gives you the equation 2^m - 2^n = 56
Factor both sides: 2^n * (2^(m-n) - 1) = 2^3 * 7
Since 2^n is a power of 2 and (2^(m-n) - 1) is an odd integer, we must have 2^n = 2^3 2^(m-n) - 1 = 7
Solving these, you get n = 3 and m = 6.
Using FOIL (First, Outer, Inner, Last):
(x+3)(x-4)
FIRST: multiply x times x to get x^2.
OUTER: multiply x times -4 to get -4x.
INNER: multiply 3 times x to get 3x.
LAST: multiply 3 times -4 to get -12.
Your expression now looks like:
x^2-4x+3x-12
Combine like terms.
x^2-x-12
The answer is D. x^2-x-12.
I hope this helps :)