Answer:
(4,8) (8,0) (-4,4)
Step-by-step explanation:
2(2,4)
(4,8)
2(4,0)
(8,0)
2(-2,2)
(-4,4)
Plot the points
4:45 -3:30 -2*(0:15) = 0:45
Gina and Lucy can spend 45 minutes at the library.
_____
They will get to the library at 3:45. They must start home by 4:30. From 3:45 to 4:00 is 15 minutes, and it is 30 more minutes to 4:30. The time they can spend at the library totals 45 minutes.
( x + 4), (x - 9) = 4x
Hope this helps!
Answer:
Inequality: 
Inequality solved: 
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol
.
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

In order to solve it, you must subtract 10 from both sides:

Plot this result on a number line.
Since the symbol of the inequality is
, the dot must be filled (Observe the number line attached).
The function would be y = 0.45x, x being the number of seconds, y being the items he can ring up.
For example (this is an example only to show how this equation works), if we were looking at how many items the cashier can ring in 5 seconds, we would make the equation y = 0.45(5), and with multiplication, we can find that they would ring 2.25 items ( y = 2.25 )
If I misunderstood this question or got something wrong, please leave a comment and I can help further.