Answer:
A
Step-by-step explanation:
Consider the parent function 
The graph of this function is represented as red graph in attached diagram.
Now consider the function 
Remind main translations of the graph of the function 
- translation a units to the right;
- translation a units to the left;
- translation a units up;
- translation a units down.
In your case, the graph of the function 
is translated graph of the function 
2 units to the left (blue graph). So, correct answer is option A.
Answer:
2.25
Step-by-step explanation:
to find slope it is (y2-y1)/(x2-x1)
(15.25-8.50)/(5-2)
6.75/3
2.25 is the slope
Answer:
60 miles per hour
Step-by-step explanation:
Consider the structure of the wording: "miles per hour"
The word "per" means for each. There is you clue.
Each is, one of and one of is unit measurement
So the controlling element in this question is that you need to convert the 3 hours into 1 hour.
Using ratio properties
180
3
=
x
miles
1
hour
We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.
⇒
180
÷
3
3
÷
3
=
x
1
⇒
60
1
=
x
1
So the unit rate of speed is
60
miles
per
−−−
hour
y/x-2=3/11 would be easier to work with if we were to put it into a more standard form, e. g., y = mx + b.
First, add 2 to both sides, to isolate y/x:
y/x = 3/11 + 22/11 = 25/11.
Next, mult. both sides by x, to get y by itself: y = (25/11)x.
This is your function.
Now make a table. You can choose any x values you want, and then calculate y for each one.
x y
0 0
1 25/11
3 (25/11)*3 = 75/11
Then we have three points on this line: (0,0), (1, 25/11), 3, 75/11). You could obtain more by choosing additional x values.
Answer:
$5
Step-by-step explanation:
medium popcorn- 2x
total - $23
large- 2x+3
23=4x+3
20=4x
x=5
