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Ksenya-84 [330]
3 years ago
15

You are constructing a cardboard box with the dimensions 4 m by 6 m. You then cut equal-size squares ( x by x squares) from each

corner so that you may fold the edges to get a box. How long should x be to get a box with the maximum volume?? Round your answer to three decimal places. (enter numbers only)
Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer:

0.785 m

Step-by-step explanation:

(4-2x)(6-2x)x = Volume

Volume = 4x³ - 20x² + 24x

Max volume: dV/dx = 0

dV/dx = 12x² - 40x + 24 = 0

3x² - 8x + 6 = 0

x = 2.54858377, 0.784749563

Max when d²V/dx² < 0

d²V/dx² = 6x - 8

At x = 0.784749563

6x - 8 = -3.29 < 0

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Answer:

x= -2

Step-by-step explanation:

Step 1. In order to find the zeros of the function, we must factor it.

Step 2. To factor this, we have to find  two numbers that multiply to 4 and add to 4 which is 2 ( 2*2=4 and 2+2=4)

step 3. 0=(x+2)(x+2)

Step 4 make (x+2) equal to zero and solve which gives us -2, so -2 =x.

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3 years ago
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Well, i don't know what you're asking, but -11,2,7,8,22?
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4 years ago
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raketka [301]

Answer:

b. both functions have a negative slope

Step-by-step explanation:

The given function is

f(x)=-6x-21


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We can also determine the slope of the function in the table using any two points, say (0,7)\:and\:(2,6).


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We can see that both functions have a negative slope.


The correct answer is B.




8 0
3 years ago
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Answer:

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Step-by-step explanation:

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