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3 years ago

3x^2 + 18x + 27 = 0 can you solve for x

Mathematics

1 answer:

beks73 [17]3 years ago

8 0

Answer:

3x^2 + 18x + 27 = 0

<=> 3(x^2 + 6x + 9) = 0

<=> 3(x + 3)^2 = 0

<=> x = -3

Hope this helps!

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A rectangular area is to be enclosed and divided into thirds. The family has $880 to spend for the fencing material. The outside

viva [34]

Answer:

\W = Width

L = Length

Draw rectangle W x L

Divde rectangle into thirds with two lines parallel with width.

Outside fance perimeter = 2 W + 2 L

Inside fance length = 2 W

Total cost :

( 2 W + 2 L ) * 10 $ + 2 W * 20 $ = 400 $

( 2 W + 2 L ) * 10 + 2 W * 20 = 400

20 W + 20 L + 40 W = 400

60 W + 20 L = 400 Divide both sides by 20

60 W / 20 + 20 L / 20 = 400 / 20

3 W + L = 20 Subtract 3 W to both sides

3 W + L - 3 W = 20 - 3 W

L = 20 - 3W

Area :

A = W * L =

W * ( 20 - 3W ) =

20 W - 3 W ^ 2

First derivation :

dA / dW = 20 - 3 * 2 * W = 20 - 6 W

If first derivation = 0 a function has a local maximum or a local minimum.

dA / dW = 0

20 - 6 W = 0 Add 6 W to both sides

20 - 6 W + 6 W = 0 + 6 W

20 = 6 W Divide both sides by 6

20 / 6 = 6 W / 6

20 / 6 = W

2 * 10 / ( 2 * 3 ) = W

10 / 3 = W

W = 10 / 3 ft

If second derivative < 0 then function has a maximum.

If second derivative > 0 then function has a mimum.

In this case second derivative = - 6

Second derivative < 0 so function has a maximum.

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5 0

3 years ago

What’s 4(2a+3a) if a=2

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Its either 14 or 40 i think

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Dvinal [7]

Answer:

720°, 2340°, 180°

Step-by-step explanation:

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Step-by-step explanation:

hope this helps you if it does not i am very sorry but i think is what your looking for

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3 years ago

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