Answer: 
Step-by-step explanation:
We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).
Thus, the equation of the circle is
.
Answer:

Step-by-step explanation:
Given
Let x represent the number of tickets, and p the charges

A reduction of 50c gives an increment of 50 tickets.
This gives:
---- 

Required
Determine the demand function
First, calculate the slope:




So, the equation is:




Hence, the function is:

Answer:
y = root 9
Step-by-step explanation:
1/2 is equivalent to the root of something.
The root of y equals 3.
Therefore, y would be equal to root 9, as root 9 is equivalent to 3.
Hope this helps :)
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)