Answer:
The last listed functional expression:

Step-by-step explanation:
It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.
It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains
for the function, for the domain:
.
Such definition is the one given last (bottom right) in your answer options.

<h2>
Hello!</h2>
The answers are:
A.
and 
D.
and 
<h2>
Why?</h2>
To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.
We are given two fractions that are like fractions. Those fractions are:
Option A.
and 
We have that:

So, we have that the pairs of numbers
and

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.
Option D.
and 
We have that:

So, we have that the pair of numbers
and

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.
Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.
The other options are:

and

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.
Hence, the answers are:
A.
and 
D.
and 
Have a nice day!
Answer: 6
Step-by-step explanation:
6x6x6 =216
Step-by-step explanation:
X- (-12)=25
X+12=25
X=25-12
X=13
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Answer:
y = 46
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 23 when x = 8 , then
23 =
( multiply both sides by 8 )
184 = k
y =
← equation of variation
When x = 4 , then
y =
= 46