Answer:
y=2x+5
Step-by-step explanation:
y=2x+4 means that the slope is m1=2
A parallel line shall have the same slope so
m2=m1=2
Therefore, the equation of the new line will be
y=2x+q
where q is the y-intercept, that is 5 because the line must pass in (0,5), so
q=5
and
y=2x+5
We have a question on motion with the elements of distance, time taken and speed.
This question in particular is asking us for distance per unit time (in this case, hours).
We are required to find out how much distnace is covered in on hour and our approach will be as follows:

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.
Now we plot our number line.
Step-by-step explanation:
ok whats the question tell
2
2x
2
+5x−12
1 Split the second term in
2
x
2
+
5
x
−
1
2
2x
2
+5x−12 into two terms.
2
x
2
+
8
x
−
3
x
−
1
2
2x
2
+8x−3x−12
2 Factor out common terms in the first two terms, then in the last two terms.
2
x
(
x
+
4
)
−
3
(
x
+
4
)
2x(x+4)−3(x+4)
3 Factor out the common term
x
+
4
x+4.
(
x
+
4
)
(
2
x
−
3
)
(x+4)(2x−3)