Answer:
f(x) = Ca^x
x = years since 2000.
f(0) = 220000 = Ca^0 = C
f(x) = 220000a^x
f(1) = 220000(1-0.11) = 220000a^1
a = 0.89
f(x) = 220000(0.89)^x
So each year reduces by 89%
Answer:
Please let me know if your quadratic is 
.
And if so your vertex is (-2,2) and your y-intercept is (0,-6)
Step-by-step explanation:
It says vertex so I'm thinking you meant . Please correct me if I'm wrong.
The vertex form of a quadratic is 
. It is called that because it tells you the vertex (h,k).
So if you compare the two forms you should see -h=2 while k=2.
-h=2 implies h=-2.
So the vertex is (h,k)=(-2,2).
To find the y-intercept, set x=0 and find y.
So the y-intercept is (0,-6).
Answer:
MN = 6
This is because the shapes are dialations of each other
So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6
X=number of adult tickets
y=number of child tickets
I suggest this system of equations:
x+y=144
9x+6y=1164
we can solve this system of equations by substitution method.
x=144-y
9(144-y)+6y=1164
1296-9y+6y=1164
-3y=1164-1296
-3y=-132
y=-132/-3=44
x=144-y
x=144-44=100
Answer: the theatre sold 100 adult tickets and 44 child tickets.
