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jekas [21]
3 years ago
9

Please help with this question and pls don't give me a bizarre answer that doesn't help me

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0
Your answer is B
Edge 2020
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The length and width of a rectangle must add up to 78 feet. calculate the dimensions that will yield the maximum area (remember,
denis23 [38]

The length that results in the maximum area is 39 feet.

<u><em>Explanation</em></u>

Lets assume, length of the rectangle is x feet and width of the rectangle is y feet.

As the length and width must add up to 78 feet, so the equation will be...

x+y=78 ................................................(1)

Solving equation (1) for y  : y= 78-x

Now the area of the rectangle,

A = x*y\\\\ A= x(78-x)\\\\ A= 78x-x^2\\\\ A= -x^2 +78x...................(2)

A will be maximum when \frac{dA}{dx} = 0

Now taking derivative of equation(2) with respect to x......

\frac{dA}{dx}= -2x+78

If \frac{dA}{dx} =0, then

-2x+78=0\\\\ -2x=-78\\\\ x=\frac{-78}{-2}=39

If x= 39, then y= 78-x = 78-39=39

So, both length and width will be 39 feet for getting maximum area.

The length that results in the maximum area is 39 feet.


5 0
3 years ago
Does anyone know this question?
Murrr4er [49]
34x 65y =33 5647475789900988
5 0
2 years ago
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Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)} What can be concluded of the
Svetlanka [38]

Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)}

Domain : {–4, 0, 5 }

Range: {( –7, –3, 2, 6}

6 0
3 years ago
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Consider the function f(x)= 1-|x-1|+|x+1| for -3&lt;x&lt;3. Recall that the absolute function can be represented as a piece wise
Kruka [31]
By the definition for the absolute value,

|x-1|=\begin{cases}x-1&\text{for }x\ge1\\-(x-1)&\text{for }x
|x+1|=\begin{cases}x+1&\text{for }x\ge-1\\-(x+1)&\text{for }x

So for the compound function f(x)=1-|x-1|+|x+1|, there are three intervals to consider. What happens when x? when -1\le x? when x\ge1?

You have

f(x)=\begin{cases}1-(-(x-1))+(-(x+1))=-1&\text{for }x
8 0
3 years ago
What is m∠PQR? please help
leva [86]

Answer:

127

Step-by-step explanation:

The angles add up to 180° since they are on a straight line. Find 3x - 5.

3x - 5 + x + 1 = 180

4x - 4 = 180

4x = 180 - 4

    = 176

x = 176 ÷ 4

x = 44

3x - 5 = 3(44) - 5

          = 132 - 5

          = 127

6 0
3 years ago
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