Answer:
B
Step-by-step explanation:
idk how to explain it but im sorry if i tell u the wrong answer
Answer as a compound inequality: ![-4 \le y < 2](https://tex.z-dn.net/?f=-4%20%5Cle%20y%20%3C%202)
Answer in interval notation: [-4, 2)
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Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have
which is the same as ![-4 \le y](https://tex.z-dn.net/?f=-4%20%5Cle%20y)
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that ![y < 2](https://tex.z-dn.net/?f=y%20%3C%202)
Combine
and
to get the compound inequality ![-4 \le y < 2](https://tex.z-dn.net/?f=-4%20%5Cle%20y%20%3C%202)
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
Answer:
Step-by-step explanation:
The length of AB = 1 unit.
area of square = 1² unit² = 1 square unit.
Answer:
The circumference of Dan's circle is approximately 50.27 inches.
Step-by-step explanation:
The length of the circumference (
), measured in inches, is determined by the formula:
(1)
Where
is the radius, measured in inches.
If we know that
, then the length of the circumference is:
![s = 2\pi\cdot (8\,in)](https://tex.z-dn.net/?f=s%20%3D%202%5Cpi%5Ccdot%20%288%5C%2Cin%29)
![s \approx 50.27\,in](https://tex.z-dn.net/?f=s%20%5Capprox%2050.27%5C%2Cin)
The circumference of Dan's circle is approximately 50.27 inches.