Which of the following graphs represents the solution(s) of the following system?
x2 + y = 7
x2 + y2 = 49

2nd graph

Step-by-step explanation:

First of all, let's recognize that these 2 equations are that of a "parabola" and a "circle".

The equation of parabola is in the form

If we have:

y = x^2 + b  where b is a constant, this means the parabola is shifted b units up.

Let's rearrange the first equation:

Note: the negative in front of x^2 makes it an "UPSIDE DOWN U SHAPED PARABOLA". Also this is shifted 7 units up.

Now, looking at the answer choices, we can eliminate:

1st and last  [ because these 2 are upward facing ]

Now, the equation of a circle. The general form is:

The equation given is in this form, so the radius is  

So that means, the circle is centered at origin and goes 7 units in all directions.

Between the 2nd and 3rd picture, we see that 2nd one is right since the circle coincides with the parabola up top and that is both 7 units as we have seen from our discussion.

Hence,

2nd graph is the correct one.

answer: (1,3) and (-2,0) i think.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!