Here is something to keep in mind.
when there is a downward slope, the slope will ALWAYS have a negative slope. even if it is above the x-axis. negative slopes will tend to go from positive y-axis to negative y-axis
so personally would have to go with -4
because the x-axis is by 4 each time. and this slope is going downward.
your answer will be D
For
ax+by=c
the slope is -a/b
20x+25y≥200
slope=-20/25=-4/5
negative slope
yint is where x=0
20(0)+25y≥200
25y≥200
y≥98
positive yint
x+y<10
slope=-1/1=-1
yint is where x=0
y<10
yint is at y=10
since it is equal, it is solid line
to tell if it is above then sub (0,0) and see if true
0≥200
false
shade on side that doesn't have (0,0), shade above line
x+y<10 doesn't have equal under so it is dashed
test (0,0)
0<10
true, it is shaded below
test point (4,5)
20(4)+25(5)≥200
80+125≥200
225≥200
true
4+5<10
9<10
true
so the ones that are true are
The line x + y < 10 has a negative slope and a positive y-intercept.
The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.
The overlapping region contains the point (4, 5).
Answer:
Suzie walks faster by 0.27 miles per hour.
Step-by-step explanation:
Addie walked
miles in 45 minutes and Suzie covered
miles in
of an hour.
So, Addie walked 2.5 miles in 45 minutes i.e.
hours.
Therefore, the walking speed of Addie is
miles per hour.
Again, Suzie covered
i.e. 2.4 miles in
i.e. 0.67 hours.
So, the walking speed of Suzie is
miles per hour.
Hence, Suzie walks faster by (3.6 - 3.33) = 0.27 miles per hour. (Answer)
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Remember that
The unit rate of change is the same as the slope
so
In this problem

The linear equation is equal to

To graph the line we need two points
we have (0,0) because the line passes through the origin
Determine other point
assume a value of x and calculate the value of y
For x=8

The other point is (8,3)
Plot the points and join them to draw the line
The graph in the attached figure
Answer:
The answer is A B and D
A. 8/5x + 2/3 = 1/2 – 1/5x
B. 18x + 20 + 30x = 15 – 6x
C. 18x + 20 + x = 15 – 6x
D. 24x + 30x = –5
E. 12x + 30x = –5
Step-by-step explanation: