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4 years ago

What is the largest rectangular area that can be enclosed with 400 feet of fencing?

1 answer:

3 0

Let the length = x
2 lengths are 2x.
Then you have 400 - 2x for both widths, so the width is 200 - x.
The are if the rectangle is

y = x(200 - x)

y = 200x - x^2

y = -x^2 + 200x

Take the first derivative ans set equal to zero to find a maximum value.

y' = -2x + 200

-2x + 200 = 0

-2x = -200

x = 100

Since the side of the rectangle is 100, all sides measure 100 ft, and you have a square.
The maximum area is 100 ft * 100 ft = 10,000 ft.

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If 23 is subtracted from 8 times the number, the result is the square of 2 less than the number.

pychu [463]

I believe the answer is 116.

23-8=15
8*15=120
sqrt2=4
the number 120-4=116

that’s what i got not sure if that is correct

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3 years ago

Which measures of center or variability are greater than 5 degrees? Select three choices.

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3 years ago

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snow_lady [41]

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Step-by-step explanation:

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3 years ago

At a certain clothing store, all shirts are on sale for the same price. Mr.Chan bought 6 shirts and paid a total of $62.99, incl

baherus [9]

You would subtract the tax first which 62.99-2.99=60$. Then you would divide the $60 left by 6 and 60 divided by 6 equals 10 so each shirt costs $10.

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3 years ago

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PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba

kupik [55]

Answer:

Slope of the function is $=3.75$ ,Y-intercept $=20$ .

The function is $y=3.75(x)+20$ with initial value $=20$ ,Jordan puts $\$3.75$ each week andthe amount saved by Jordan after $52$ week $=215\$$ .

Step-by-step explanation:

To understand the slope and y-intercept lets assign $x$ as number of weeks and $y$ as the money saved by Jordan.

Jordan is already having a sum of $\$20$ inside the money bank so in $0$ week the amount is $\$20$ can be written as $(x,y) =(0,20)$ in coordinate form.

SImilarly

We have $(x,y) =(0,20)$ and $(x_1,y_1) =(25,113.75)$

Part A:

The function is $y=m(x)+b$

From point-slope form,we have slope (m)

and $m=\frac{y_1-y}{x_1-x}$ ,plugging the values of the points.

$m=\frac{113.75-20}{25-0}=3.75$

Y-intercept of this function is the constant term or the money of $\$20$ that is already inside the money bank.

We can also calculate y-intercept by arranging the function as $b=y-m(x)$ choosing any $(x_1,y_1) = (25,113.75)$ coordinate and here $b$ is the y-intercept.