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I am Lyosha [343]
2 years ago
12

Answer choices are 14 24 28 48

Mathematics
1 answer:
MrRa [10]2 years ago
4 0

Answer: 24 square units

Step-by-step explanation:

It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.

The formula for the area of a rectangle is lw=A

Where

l is the length (8 for this)

w is the width (6 for this)

A is the area

However, since we are finding half the area we will divide lw by 2

Sub the values into the formula

\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A

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Given function:

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The minimum value of the function can be found by setting the first derivative of the function to zero.

f^{\prime}(x)=xe^x+e^x\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1)  = 0} \end{gathered}

Solving for x:

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Substituting the value of x into the original function:

\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}

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Answer:

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Step-by-step explanation:

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