Answer: Choice A
Note: the range should be
. See explanation below.
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We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say
which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that
and that translates to the interval notation
.
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote
for choice A, when they should have written 
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
Answer:
the answer will be 132
Step-by-step explanation:
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The greatest common factor of 9, 18 and 21 is 3 so that is the number that we'll factor out
to do this divide all three numbers by 3 to get
3(3a-6b+7c)
I hope I've helped!
Answer:
50.3 cm³
Step-by-step explanation:
Use the cylinder volume formula:
V =
r²h, where r is the radius and h is the height.
Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.
Plug in the radius and height into the equation:
V =
r²h
V =
(2²)(4)
V = 16
V = 50.3 cm³