What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?

(–4, 0) and five-halves
five-halves and (4, 0)
(–5, 0) and (2, 0)
(–2, 0) and (5, 0)

m∠a is 90°

m∠b is 40°

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

< 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)

a

step-by-step explanation: