Review the graph. On a coordinate plane, a circle has center (0, 0) and radius 3. A parabola opens to the left and goes through (7, 3), has vertex (2, 0) and goes through (7, negative 3). Everything inside of the parabola and outside of the circle that is inside of the parabola is shaded.

please help on edgunity .Which system of inequalities has the solution set shown in the graph?

x2 + y2 > 9 and y < –x2 + 2
x2 + y2 < 9 and y < –x2 + 2
x2 + y2 > 9 and x < –y2 + 2
x2 + y2 < 9 and x < –y2 + 2

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!