A quadratic function models the profit of the company and the maximum/minimum value of the quadratic function occurs on its vertex.
The given function is:

The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)
This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million
Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
Answer:
a) 
b) 
c) Yes.
Step-by-step explanation:
We have that:

And we have $10 free of taxes.
Making x= number of tires to buy, then we have that the total cost of tires is:

So, what we pay for taxes is given by:

a) Then, according to the above, we can write down the total cost before the discount as:

b) And the total cost after discounts, is then given by:

c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.
Answer:
11.9
Step-by-step explanation:
I just know this off the top of my head
The real one is 11.18034