Answer:
Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period =
, Frequency
, equation : 
Step-by-step explanation:
<u>Sinusoid Functions</u>
It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.
The graph shown can give us all the information we need to answer these questions:
Maximum: 1
Minimum: -3
The midline goes through the center value (mean) of the max and min values, i.e.
Equation of the midline:

Amplitude is the difference between the maximum and minimum values

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at 
Thus the period is

The frequency is the reciprocal of the period:

The angular frequency is

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

Answer:
-5x + y = -1 or y = 5x - 1
Step-by-step explanation:
5x - y = 9
-5x - 5x
__________
-y = -5x + 9
__ ______
-1 -1
y = 5x - 9
__________________________________________________________
-6 = 5[-1] + b
-5
-1 = b
y = 5x - 1
If you want it in <em>Standard </em><em>Form</em>:
y = 5x - 1
-5x -5x
_________
-5x + y = -1 >> Line in <em>Standard</em><em> </em><em>Form</em>
I am joyous to assist you anytime.
Answer: 1/48
Step-by-step explanation:
Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48
Hope this helps!
Answer:
There is no solution for this set of equations.
The sum of two numbers can not have two different solutions.
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x