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The length of a rectangle is represented by the function L(x) = 4x. The width of that same rectangle is represented by the function W(x) = 7x2 − 4x + 2. Which of the following shows the area of the rectangle in terms of x?

(L + W)(x) = 7x2 + 2

(L + W)(x) = 7x2 − 8x + 2

(L ⋅ W)(x) = 28x3 − 16x2 + 8x

(L ⋅ W)(x) = 28x3 − 4x + 2

Verified Answer :

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the length of a rectangle is represented by the function

\(L(x)=4x\)

The width of that same rectangle is represented by the function

\(W(x)=7x^2-4x+2\)

The area of a rectangle is

\(A=length \times width\)

\(A=L(x) \times W(x)\)

\((L\cdot W)(x)=L(x) \times W(x)\)

\((L\cdot W)(x)=4x\times(7x^2-4x+2)\)

\((L\cdot W)(x)=28x^3-16x^2+8x)\)

Therefore option 3 is correct.

Answer: I believe the answer is C) (L ⋅ W)(x) = 28x3 − 16x2 + 8x !!!!!!!!