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babunello [35]
3 years ago
13

Among all the rectangles whose perimeters are 100 feet, find the dimensions of the one with the maximum area. explain step by st

ep.
Mathematics
1 answer:
kompoz [17]3 years ago
7 0
<span>We let x be the length and y be the width of the rectangle. Then,
 
Perimeter = 2x + 2y
100 = 2x + 2y
50 = x + y
y = 50 - x
 
Area = xy
A = x(50 - x)
A = 50x - x^2
 
We then take the derivative; set it equal to zero:
 
A ' = 50 - 2x
0 = 50 - 2x
2x = 50
x = 25
y = 50 - x
y = 50 - 25
y = 25
 
Therefore, the dimensions are 25 and 25.</span>
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adelina 88 [10]

Answer:

80

Step-by-step explanation:

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Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a
tigry1 [53]

Answer:

x=1 is the minima

No point of inflection

y axis is asymptote

Step-by-step explanation:

A function is given by

y=x-lnx

Let us use derivatives to find extrema point of intersection etc

y' = 1-1/x\\y"=1/x^2\\y"' = 2/x^3

We find that second derivative cannot be equal to 0 for any value of x.

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ln x is not defined for 0 or negative values of x

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Range is (1,infty)

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5 0
4 years ago
What is 3^-4 as a fraction?
nalin [4]

Hello there!

Remember the Negative Exponent Law. If we have a number with a negative exponent, we flop it over.

So our answer looks like so:

\frac{1}{3^{4} }

<h2>Therefore, our answer is: \frac{1}{3^{4} }</h2>

Hope this helps you!

~Just a felicitous girlie

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SilentNature

8 0
3 years ago
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Ts
julsineya [31]

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Step-by-step explanation:

186 dollars minus 36 because it is a daily rate and you get 150 which divided by 0.30 is 500 miles

4 0
3 years ago
Joe decides to take his six year old son to the planetarium. The price for the child's ticket is 5.75 dollars less than the pric
mart [117]
To answer this item, we are instructed that the price of the ticket for the children is equal to x. Since, we are also given that this is 5.75 less than the price of tickets for the adults, we may express this as follows,

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n is the price of ticket for the adults. This can be calculated by transposing 5.75 to the other side of the equation,

   n = x + 5.75

The answer is the third choice. 
6 0
3 years ago
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