A company sells bikes that are light and fast. The revenue earned over a period of x years can be represented by the function, S(x) = 100x^3 + 6x^2 + 97x + 215. The cost of manufacturing the bikes can be represented by the function, C(x) = 88x + 215.
Which function, P(x), describes the profit earned from the sales of the bikes over a period of x years?
A. P(x) = 100x3 + 6x2 + 9x
B. P(x) = 100x2 + 6x + 9
C. P(x) = 100x3 - 82x2 +97x
D. P(x) = 100x3 + 6x2 + 185x + 430

addition

step-by-step explanation:

answer: the correct answer is -32

step-by-step explanation:

< 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)