Answer:
Step-by-step explanation:
In order to do this we need to isolate y by performing the inverse operations on the other values like so...
a)   10x + 5y = 20   ... subtract 10x on both sides
      5y = 20 - 10x    ... divide both sides by 5
        y = 4 - 2x   ... we can move the 2x to the right to make it into y = mx + b
        y = -2x + 4
b)   3x - 2y = 10 + 4x   ... subtract 3x on both sides
       -2y = 10 + x    ... divide both sides by -2
        y = -5 - 0.5x  ... move -0.5 to the left so it matches y = mx + b
        y = -0.5x - 5
 
        
             
        
        
        
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
 
        
             
        
        
        
Answer:
Company's total liabilities are $6,351.
Step-by-step explanation:
A company's financial information is given, we have to calculate the company's total liabilities.
Total assets = Fixed assets + current assets
Current assets = Total assets - Fixed assets
                          = $8,190 - $5,385
                          = $2,805
Networking capital = Current assets - Current liabilities
                         $735 = $2,805 - current liabilities
   Current liabilities   = $2,805 - $735 
   Current liabilities   = $2,070
Total liabilities = Long term debt + current liabilities
                          = $4,281 + $2,070
                          = $6,351
Company's total liabilities are $6,351.
 
        
             
        
        
        
Answer: $18,617.75 is the answer
$87,525-$77,100=$10,425 (the amount over $77,100)
$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)
$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
see below
Step-by-step explanation:
The circumference is given by
C = pi *d
C = 15.5 pi
If we approximate pi by 3.14
C = 15.5 * 3.14
C =48.67
If we use the pi button
C =48.69486813