Help asap please and thanks

Mathematics

1 answer:

Arada [10]2 years ago

7 0

He can only go as low as $500

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

Need help asap!!!!!!!!! :) will mark brainliest if correct!!!! -4 1/3+(-3/5)

Paha777 [63]

Answer:

Step-by-step explanation:

you do the ( ) first then you do plus and get the answer

5 0

2 years ago

Which ordered pair is a solution to the equation 3x-3y=21

katovenus [111]

The answer would be (5, -2). This is because when you plug in the respective values in for x and y into the equation 3x - 3y = 21, you get 21, which is the desired answer.
3x - 3y = 21
3(5) - 3(-2) = 21
15 + 6 = 21
21 = 21
Hope this helped!

3 0

2 years ago

Read 2 more answers

Can someone help me solve this ... please

lana66690 [7]

Answer:

t>28

Step-by-step explanation:

work is shown and pictured