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Given the domain(-4,0,5), what is the range for the relation 12x×6y=24?

User AddMitt
by
8.7k points

2 Answers

5 votes

Answer:

The range has only two elements:


-(1)/(12)


(1)/(15)

Explanation:

The range is the y set of number that are images of x. So, to find each range, we only need to replace each x value and find y.


x = -4\\12x6y=24\\12(-4)6y= 24\\y=(24)/(-288)\\y = -(1)/(12)


x = 0\\12x6y=24\\y= (24)/(72x) \\y= (24)/(0)=\inf


x=5\\y= (24)/(72x)\\y= (24)/(72(5))=(24)/(260)=(1)/(15)

Therefore, the range of the given domain is
-(1)/(12) and
(1)/(15), the set has only two elements be cause x = 0 is undetermined, it doesn't have an image in y set.

User Will Hitchcock
by
8.3k points
2 votes

Answer:

The range is
(-(1)/(12) ,(1)/(15)). The realtion is no defined in 0.

Explanation:

Given the domain(-4,0,5)

For x=-4

12x×6y=24

12(-4)×6y=24

-48×6y=24

6y=
(24)/(-48)

y=
(-1)/(2*6)

y=
(-1)/(12)

For x=0

The relation is not defined

For x=5

12x×6y=24

12(5)×6y=24

60×6y=24

6y=
(24)/(60)

y=
(2)/(5*6)

y=
(1)/(15)

User Luis Curado
by
7.7k points

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