Answer:
Domain: All real numbers
![Range = [-1,1]](https://tex.z-dn.net/?f=Range%20%3D%20%5B-1%2C1%5D)
Step-by-step explanation:
Given
The attached graph
Solving (a): f(0)
On the attached graph
when 
So:
Solving (b): f(pi)
On the attached graph
when 
So:
Solving (c): Domain
There is no restriction on x.
Hence, the domain is the set of all real numbers
Solving (d): Range
In the attached graph
So, the range is:
Answer:
Quadratic
Step-by-step explanation:
Linear has a constant growth and exponential cannot be negative.
Answer:
x=36
Step-by-step explanation:
The angles in a triangle must add to 180 degrees.
Therefore,
x+65+79=180
Add 65 and 79
x+144=180
We want to solve for x. In order to do this, we have to get x by itself. 144 is being added to x (+144)The opposite of addition is subtraction, so subtract 144 from both sides(-144)The +144 and -144 will cancel out, and leave x by itself.
x+144-144=180-144
x=180-144
x=36
Let’s check our answer. Add all the angles together, and make sure they equal 180 degrees.
x+65+79
We know x is equal to 36, so we can substitute it in
36+65+79
180
The 3 angles add to 180, so we know that x=36
Step-by-step explanation: Since the width and length are consecutive odd integers, call the width <em>x</em> and the length <em>x + 2</em>.
Now, it would be helpful to draw a picture of your rectangle
and label its parts to help you set up the equation.
Since the perimeter of the rectangle is 120 meters,
<em>x + x + (x + 2) + (x + 2) = 120</em>.
Simplifying from here we get 4x + 4 = 120.
Now subtract 4 from both sides to get 4x = 116.
Now divide both sides by 4 to get x = 29.
So the width of our rectangle is 29 meters
and the length, <em>x + 2</em>, is 31 meters,
Answer:
A is the correct answer
Step-by-step explanation:
Angle 3 and angle 5 are on the same side of the transversal. Therefore,
