Mathematics, 22.09.2019 13:10 imorn20731

Ajug contains 2.45 liters of cranberry juice. a bottle contains 2 13/25 liters of grape juice? how much less?

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Okay so i'm sure there's probably a simpler way to do this, but the only way i can think of changing 2 13/25 into a decimal like 2.45 is first changing it into an improper fraction
to do so you have to multiply the whole number by the denominator or bottom number which equals 50
then you put 50 in the numerator and add the 13 which gives you 63 on top and 25 still on bottom: 63/25
now, to change this into a fraction you just divide 63 by 25 because that's what the fraction line means and you get 2.25 (which now i realize we could have just taken 13/25 and gotten .52 and stuck that on the 2 but whatever)
now we subtract 2.52 and 2.45 and get .7 :)

Answer from: Quest

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

Me if you can and if you finished this lesson on edg- comment you.

Answer from: Quest

answer:

step-by-step explanation:

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Ajug contains 2.45 liters of cranberry juice. a bottle contains 2 13/25 liters of grape juice? how m...

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