Answer:
Step-by-step explanation:
Let y = -A cos B(t -c) + D
A, amplitude = 20ft
Period = 2π / B ( B = π / 15)
= 30
c = 0
Vertical shift D = 21.5 ft
Equation becomes
a) Top of the ferris wheel is
t = 15sec, 45sec, height = 41.5ft
b) At the bottom of the ferris wheel
t = 0, 30sec, 60 sec
height = 1.5ft
c) Exact middle of the ferris wheel
t = 15/ 2 = 7.5sec, 22.5sec, 37.5sec, 52.5sec
d) 
4 3/8 is in simplest form.
C. 4 meters (1/2 + 3 1/2 = 4)
Hello.
Functions are a relationship between two variables such that for every value of x there is one value of y. The easiest way to see if a given equation is a function is by graphing it.
I will post photos of each graph (in order).
So therefore, the equations that represent functions are A and D.
First, find the invers of h(x)
h(x) = 4x + m
y = 4x + m
4x + m = y
4x = y - m
x = (y-m)/4
change to function format
h⁻¹(x) = (x-m)/4
We know that the invers of h is
h⁻¹(x) = (x - m) / 4
h⁻¹(x) = x/4 - m/4
The function above should be written similar with the format of
h⁻¹(x) = 2kx + 5/8
Now compare
2kx + 5/8 = x/4 - m/4
change the denominator of right side to 8
2kx + 5/8 = 2x/8 - 2m/8
From the equation above, we find the value of m and k
2k = 2/8
2k = 1/4
k = 1/8
2m = 5
m = 5/2
Final answer
k = 1/8
m = 5/2
