Answer:
Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
Step-by-step explanation:
Let
x------> the number of nickels in the box
y------->the number of dimes in the box
we know that
so
Multiply by both sides
-----> inequality that represent the situation
The solution of the inequality is the shaded area above the dashed line for positive values of x and y
The equation of the dashed line is
therefore
the answer is
Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
see the attached figure to better understand the problem
Answer:
The value of a is 8
Step-by-step explanation:
If the three lines are collinear, they all lie on the same line
So let us have the equation of a line that passes through the known ends
the slope will be;
m = (6-2)/(3 + 5) = 4/8 = 1/2
The general form is;
y = mx + b
so, we have
y = 1/2x + b
To get b, we use any of the two known points
6 = 3/2 + b
b = 6-3/2
b = (12-3)/2 = 9/2
So the equation of the line is;
y = 1/2x + 9/2
Multiply through by 2
2y = x + 9
So for the point , to get a , we have that
2(a) = 7 + 9
2a = 16
a = 16/2
a = 8
For this question we would use point slope from and some of the provided info.
y - y1 = m(x-x1) where m is slope and (x1,y1) is a point on the line. We are given a point on the line as (2,16). We can easily figure out the slope too. A line that is parallel to another line has the same slope and a different y-intercept. This means m = 1 for the line we are trying to find the equation of. Now we plug in the values. And convert to slope intercept.
y-16 = 1(x-2)
y - 16 = x - 2 ----- add 16 to both sides
y = x + 14
That would be your final answer of A the first choice. Hope this helps!
The correct answer is 554 minutes
Answer:
6/35 miles per hour
Step-by-step explanation:
To find the unit rate, put distance over time
distance = 1/7 miles
time = 5/6 of an hour
miles/hours
(1/7)/(5/6)
(1/7)*(6/5)
6/35 miles per hour