9514 1404 393
Answer:
E) 0.366π
Step-by-step explanation:
There are π/180 radians in a degree.
66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians
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11/30 = 0.366... repeating, so would normally be rounded to 0.367
what subject is this? maybe i can help you!
Domain: Every possible x value.
Range: Every possible y value.
Answer:
Domain: [-5,-3)⋃(-2,4]
Range: [-1,4]
Remember that when there is unfilled dot on the graph that means whatever the number is there on x and y isn't being used which you can follow it by ) not ]. Although Y=2 isn't used on the right function but there is value for Y on the left one which is equal to X=-4 and the same goes for Y=3. On the other hand when it comes for the X=-3, that's not a part of the domain neither the X=-2.
Draw a point at (0,1). Go down 2 units and right 1 unit. Draw a straight line connecting the two points.
Answer:
![y = 4(0.5) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%204%280.5%29%20%7B%7D%5E%7Bx%7D%20)
Step-by-step explanation:
By looking at your graph, The y intercept is (0,4).
This is an exponential function so it is represented by
![y = ab {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20ab%20%7B%7D%5E%7Bx%7D%20)
where a is the vertical stretched and b is the constant rate and x is the nth power.
let plug in 0,4
![4 = ab {}^{0}](https://tex.z-dn.net/?f=4%20%3D%20ab%20%7B%7D%5E%7B0%7D%20)
![b {}^{0} = 1](https://tex.z-dn.net/?f=b%20%7B%7D%5E%7B0%7D%20%20%3D%201)
since anything to the 0 power is 1.
![4 = a \times 1](https://tex.z-dn.net/?f=4%20%3D%20a%20%5Ctimes%201)
![4 = a](https://tex.z-dn.net/?f=4%20%3D%20a)
Know let plug it in to this equation.
![y = 4b {}^{x}](https://tex.z-dn.net/?f=y%20%3D%204b%20%7B%7D%5E%7Bx%7D%20)
Let use 2,1 another point on the graph
![1 = 4b {}^{2}](https://tex.z-dn.net/?f=1%20%3D%204b%20%7B%7D%5E%7B2%7D%20)
Divide 4 by both sides
![0.25 = {b}^{2}](https://tex.z-dn.net/?f=0.25%20%3D%20%20%7Bb%7D%5E%7B2%7D%20)
take sqr root of 0.25
![0.5 = b](https://tex.z-dn.net/?f=0.5%20%3D%20b)
So
the answer is
![y = 4(0.5) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%204%280.5%29%20%7B%7D%5E%7Bx%7D%20)