10-139. Without graphing, determine if the graph of each rule below has zero, one, or two x-intercepts. Show all work.
a.
y = 6x2 + 7x – 20
b.
y = x2 - 8x +16
c.
y = 2x2 + x + 3
d.
y= (2x+1)2

PLEASE SHOW EVERY STEP!!
This is from Core Connections Algebra, problem 10-139

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

but which class are u may know that first

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)