Based on the type of equations in the system, what is the greatest possible number of solutions?

Two solutions maximum

Step-by-step explanation:

Notice that one equation is that of a circle of radius 3 centered at the origin of coordinates (0,0), while the other one is the equation of a line.

The solutions for the set are those (x,y) points that belong to both, and that means the points of intersection between both graph.

The maximum number of intersections between a circle and a line is two.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

positive

step-by-step explanation:

the quadrant is facing upwards