Enter the number that belongs in the green box.

Answer:
the green box is 0
Step-by-step explanation:
we are asked to find the x-intercept, which means y = 0
(x, y)
Another way to test this is plug it in 1 for x! (1, y) where x = 1
[tex]y = \frac{2x^{2} -3x+1}{2x^{2} +8x+6} \\\\[/tex]
[tex]y = \frac{2(1)^{2} -3(1)+1}{2(1)^{2} +8(1)+6}[/tex]
[tex]y = \frac{2(1) -3(1)+1}{2(1) +8+6}[/tex]
[tex]y = \frac{2 - 3 + 1}{2 + 8 + 6}[/tex]
[tex]y = \frac{-1+1}{10 + 6}[/tex]
[tex]y = \frac{0}{16}[/tex]
y = 0