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.
Answer:
see below
Step-by-step explanation:
The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.
So inequality which models this situation will be -40°C < T < 125°C
Now we have to show this inequality in Fahrenheit temperature with the help of 
So the compound inequality in Fahrenheit temperature will be
Answer:
x = 52 i hope this helps! :)
Step-by-step explanation:
so first you gotta realize that every triangle has an interior angle measurement sum of 180 degrees
so we are given 3 angles 74 degrees x + 2 and x
we now are going to put this into an equation 74 + x + 2 + x = 180
now lets combine like terms to get 76 + 2x = 180
then we are going to subtract the 76 from both sides 2x = 104
now lets divide both sides by 2 x = 52
so x = 52
we can plug in the value of x into both of the other equations to find the angle measurement
52 degrees
52 + 2 = 54 degrees
and then we have 74 degrees
add the 52, 54, and the 74 to make sure it is equal to 180 degrees
106 + 74 = 180
so yes, x does indeed equal 52 degrees
0.380952 then the numbers repeat
Answer:
Step-by-step explanation:
-Amy walks a distance of 7/8 mile
-Tom walks a distance of 4/8 mile.
#We immediately notice that Amy has walked a longer distance than Tom.
We subtract Tom's distance from Amy's to find how much further Amy walked;
Hence, Amy has walked 3/8 miles further than Tom has.
