Answer:
Decompose the figure into two rectangles and add the areas.
Step-by-step explanation:
We can draw a vertical line segment from the smaller section of the rectangle straight down. This would cut the rectangle into 2 smaller rectangles. We can then find the area of each rectangle and add them to find the area of the composite figure.
So for this question (for finding x and y) you will want to use elimination. To do this you will need to bring the x and y to the same side (I put them on the left):
-3/2x+y=6
x+y=0
Now subtract the y on the bottom from the top to isolate x:
3/2x=6
Now the easiest way to bring over the 3/2 to isolate the x fully is to convert it to decimal (1.5) and divide it by 6 (because when multiplication on one side of problem the only way to bring it over is to divide):
x=6/1.5
which simplifies to:
x=4
Hope this helps!
Answer:

Step-by-step explanation:
We want to evaluate the equation

at y=-2
We just have to substitute to obtain;

We now multiply to get:

This is the same as:

We multiply the numerators separately and denominators separately to get:


This implies that

Answer:
First option: 
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
We can observe that:
1. Both lines have the same y-intercept:

2. The lines are solid, then the symbol of the inequality must be
or
.
3. Since both shaded regions are below the solid lines, the symbol is:

Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:

Answer:
1/3
Step-by-step explanation:
if you move up 1 over three, the line intersects the graph