This is a sinusoidal wave with an <u>amplitude of 2</u> , riding on a constant value of 3 .
The 3 isn't part of the function's amplitude ... the function wiggles between 2 under it
and 2 over it.
The period of the function is the change in 'x' that adds (2 pi) to the angle.
When x=0, the angle is pi
When the angle is (3 pi) . . .
3 pi = 3x + pi
2 pi = 3x
x = 2/3 pi <u>The period of the function is 2/3 pi </u>.
When x=0, the function is cos(pi) rather than cos(0).
So the function is a cosine with a <u>phase shift of +pi</u>.
It could also be described as a sine with a phase shift of -pi/2 or +3pi/2 .
<span>42.7−<span>(<span>−12.4</span>)
</span></span><span>=<span>42.7−<span>(<span>−12.4</span>)
</span></span></span><span>=<span>42.7+12.4
</span></span><span>=<span>55.1</span></span>
Answer:
One solution is, (3,2)
One solution is, (-1,1)
There are infinitly many solutions
The equation of the line is 
Step-by-step explanation:
Anything on the line is a solution.
The line is infinite therefore the solutions are also infinite.
The dot (3,2) and (-1,1) are both on the line therefore they are both solutions.
The slope of the line is 0.25 or 1/4 so we know the first part of the equation.
y = 1/4x
The y-intercept is on the point 1.25 or 5/4
We now know the whole equation
y = 1/4x + 5/4
To double check you can plug in points into the x and y spots on the equation or as I did graph it.
Answer:
1. (2.2, -1.35) and (2.2, -1.4)
2. y = 8x - 7
3. infinite number of solutions
4. (2.2,-1.4) (2.2,-1.35)
5. 6
6. (1.33,1)
Step-by-step explanation:
