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.
So the since the length of the longer side is 45inches we know that the longer table is 5 times as larger than the small desktop. And we know 6 x 5 = 30.
So 45x30= 1,350 so the answer is 1,350 square inches! :)
Code:!#@$% Means there is a "Cuss word for adults to say"
The ratio for the problem above is one to four. A ratio is a relationship between number which describes how many times the second number contains the first number. The problem above gave two metric unit of length which are the centimeter and meter and the ratio between those two is one to a hundred. Therefore, we have a comparison between two amounts which are 75 and 300 and we can conclude a ratio of one to four.
0.75^2 = 0.5625.....sq rt 0.5625 = 0.75