Answer:
7/3
Step-by-step explanation:
divide each term by 3 and simplify
This one is just common sense - you don't even have to do any work. Since there's a negative on both the top and bottom you cancel them, which eliminates both the second and third answer choices. Also, 8/10 and 4/5 are the same, but 4/5 is simplified more so that is your answer.
Answer:
communitive property of multiplication
The range of the function f(x) = |x| is [0,∞)
<h3>How to determine the range?</h3>
The function is given as:
f(x) = |x|
The above is the parent equation of an absolute value function.
The above function cannot output any negative value.
This means that:
ƒ(x) >= 0
As an interval notation, we have:
[0,∞)
Hence, the range of the function f(x) = |x| is [0,∞)
Read more about range at:
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Answer:
(-1,0)
Step-by-step explanation:
Given that ;
1 minute= 1 revolution
2minutes=2 revolution
30seconds, 0.5 minutes= 1/2 a revolution
Hence;
2 minutes 30 seconds will be two and a half revolutions
2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds
Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)
The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)
Hence (1,0) will be mapped to (-1,0)
