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adoni [48]
2 years ago
14

K(x) = 2x – 4; Find k (x + 4)

Mathematics
1 answer:
Iteru [2.4K]2 years ago
5 0

Answer:

k=  −2x−16 /x

Step-by-step explanation:

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andreev551 [17]

Answer:

AM ONLI GR 4 SORI HEHEhehe

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Solve the equation 3/y = 4/5
netineya [11]

Step-by-step explanation:

<u>Step 1:  Cross Multiply</u>

\frac{3}{y} = \frac{4}{5}

5(3) = 4(y)

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15 / 4 = 4y / 4

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You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

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3 years ago
Write word to match the expression 36÷4
Alja [10]
Hmm i guess this is what you are asking, thirty six divided by four. hope that helps
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Simplify 17\24 (i have no clue).... HELP
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It cannot simplified further as 17 is a prime number
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