Answer:
Option c.
Step-by-step explanation:
It is given that the piecewise function represents the Social Security taxes for 2009.

We need to find Rachel's security tax if she earned $102,000 in 2009.
Since 102,000 lies in
, therefore

Put x=102000.


So, the Social Security tax is $6324.
Therefore, the correct option is c.
Answer:

Step-by-step explanation:
Given

Required
Determine number of items that gives maximum earnings;
The general form of a quadratic equation is:

And the maximum is calculated as:
If a<0
Comparing
to 
We have that:

Substitute these values to




<em>The number of item that maximizes the function is when y = 15</em>
We have that
x²<span> − 2x − 3 = 0
Step 1
</span>isolate the variable terms
<span>x² - 2x = 3
</span>Step 2
complete the square
<span>x² - 2x + 1² = 3 + 1² </span>
<span>(x-1)² = 4
</span>
the answer is the option (x-1)² = 4
The number was rounded to the nearest one.
Are there any answer choices?