Part 1We are given

. This can be rewritten as

.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula

The values of x are
Part 2Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a
quadratic function. Part 3.The first equation is

.
The second equation is

.
We have

Factoring, we have

Equating both factors to zero.

When the value of x is 6, the value of y is

When the value of x is -3, the value of y is

Therefore, the solutions are (6,38) or (-3,11)
Answer:
m = 10 , n = 5
Step-by-step explanation:
using the cosine and tangent ratio in the right triangle and the exact values
cos45° =
and tan45° = 1 , then
cos45° =
=
=
( cross- multiply )
m = 5
×
= 5 × 2 = 10
-----------------------------------------
tan45° =
=
= 1 , then
n = 5
Answer:
15 years
Step-by-step explanation:
93400=65000*e^(.025x)
x=14.5 which rounds to 15
A vertex can be the max or min. The vertex is the highest point or lowest point of a function.
Answer:

Step-by-step explanation:
First of all, the number before the decimal would be the whole number of the fraction.
So, 
Then, you would put 0.83 over a fraction.
So because you cannot simplify it anymore, it would be 