Answer:
(0, -14)
Step-by-step explanation:
The y intercept of the graph of the function is at (0, -14)
In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).
We can also find the y intercept by setting x equal to 0, then solving for y.
Substitute 0 for x:
y = -7x - 14
y = -7(0) - 14
y = 0 - 14
y = -14
So, the y intercept is at (0, -14)
Let x = # of original members
Cost per person (originally) = 832/x
Cost per person after 6 more people = 832/(x+6)
Solve 832/x=832/(x+6) +6 (because the cost was reduced by 6
Solve for x.
x = 26 or -32 (but x is number of members, so it can't be negative)
# of original members is 26.
Original cost is 832/26 = $32 per person.
The general equation of a circle is
(x-a) ^ 2 + (y-b) ^ 2 = r ^ 2
for this case the values of a and b are
a = 2
b = 0
The radius of the circle is
r ^ 2 = 14
r = (14) ^ (1/2) = 3.74
-1 - (-7) over 3 - (-1) = M
-1 + 7 over 3 + 1 = M
6 over 4 = M
6/4 = M
3/2 = M