Question

the area of the two triangles is given by the functions:area of triangle a: $x^2 + x$area of triangle b: $x^2 - 3x$which function represents the sum of the areas of the two triangles?○ $4x$○ $-4x$○ $x^2 - 4x$○ $2x^2 - 2x$triangle a

Explanation:

Step1: Define the sum function

Let $S(x)$ be the sum of the two areas.
$S(x) = (x^2 + x) + (x^2 - 3x)$

Step2: Combine like terms

Group $x^2$ terms and $x$ terms.
$S(x) = (x^2 + x^2) + (x - 3x)$

Step3: Simplify the expression

Calculate the sums of each term group.
$S(x) = 2x^2 - 2x$

Answer:

D. $2x^2 - 2x$