Answer:
96
Step-by-step explanation:
Answer:
1. 13
2. 28
Step-by-step explanation:
hope this helps
Answer:
see below
Step-by-step explanation:
Thankfully, these inequalities are already simplified, so all we have to do here is graph the inequalities as they are.
To graph y > 2x - 3, first draw the line y = 2x - 3. Make sure to make the line dashed because the sign is ">", which means that the points on the line do not belong to the solution set. Now, we need to figure out which side of the line to shade on. Since the sign is ">", that means that we will shade "above" the line, or on the left side of it. (This is the blue area in the image.)
Repeat a similar process to graph y < x + 1. As usual, first draw the line y = x + 1, and again, make it a dashed line since the sign is "<". And since the sign is "<", that means that we will shade "below" the line, or on the right side of it. (This is the red area in the image.)
The solution set to this system is the area where the two shaded areas overlap, which is the purple area in the image below. Hope this helps!
Answer:
<em>m is the slope of the line</em>
Step-by-step explanation:
<u>Equation of a line</u>
The equation of a line can be written in the form:
y = mx+b
Where m is the slope of the line and b is the y-intercept. Both parameters define the behavior of the line in terms of it's increasing/decreasing trend, and where it crosses the y-axis.
As an example, let's consider the line
y =3x-8
Here, the slope is 3 and the y-intercept. It means the line is increasing from left to right and the point where it crossed the y-axis is (0,-8).
m is the slope of the line