Answer:
The slope is 
. The slope means that the amount of money in the account is decreasing at a rate of $
every week.
Step-by-step explanation:
Given coordinates are 
We need to find the slope of the graph, and explain what does slope means for this graph.
The formula for computing slope 
is
Where 
and 
are the point on the line.
Let us plug points in the equation
Here, the negative sign of slope represents that the value of the function (budget) is decreasing, with an increase in time (week).
The slope is . The slope means that the amount of money in the account is decreasing at a rate of $ every week.
You would take out a 4x out of both terms because this is a common factor
4x^3-36x
4x(x^2-9)
and then you would notice that (x^2-9) is a difference of squares, so that factors out too
4x(x-3)(x+3)
that is all you can factor! hope this helps
Answer:
m = 5/2
OR
m = 2 1/2
OR
m = 2.5
Step-by-step explanation:
Answer:
6 < x ≤ 20
Step-by-step explanation:
First, let's use the points (0, 50) and (20, 0) to find the equation of the line.
m = Δy / Δx
m = (0 − 50) / (20 − 0)
m = -2.5
y = -2.5x + 50
Now find the time when y = 35.
35 = -2.5x + 50
-15 = -2.5x
x = 6
So there is less than 35 gallons in the barrel when 6 < x ≤ 20.
