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irga5000 [103]
3 years ago
10

What is the factored form of 8x^2 + 12x

Mathematics
2 answers:
Crazy boy [7]3 years ago
6 0
The answer is the following:

4x(2x+3)

hope it helped :)
Vaselesa [24]3 years ago
5 0

Answer:  The required factored form of the given expression is 4x(2x+3).

Step-by-step explanation:  We are given to find the factored form of the following quadratic expression :

E=8x^2+12x~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the given quadratic expression does not contain the constant term, so first we should take common the x-term and then factorize.

From equation (i), we have

E\\\\=8x^2+12x\\\\=4x(2x+3).

Thus, the required factored form of the given expression is  4x(2x+3).

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A rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. Find the dimension of the room.
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A country's population in 1993 was 116 million.
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Circle any equivalent ratios from the list below.
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Answer:

Equivalent ratios: we can that the first ratio is equivalent to the second,  then third ratio is equivalent to the forth.  

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

Equivalent ratios:

To get if ratios are equivalent we look for the constant between ratios

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We apply the method of comparing the first term of both ratios ,  and the second term of both ratios.  We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

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6/12 is equal to 16/32 the constant is 2

<u>So,  we can that the first ratio is equivalent to the second,  then, third ratio is equivalent to the forth.  </u>

Value of the Ratio:  The value is a ratio written as a fraction.

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  5/10 if we divide both sides by 5,  we can say  Value of the Ratio:  1/2

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Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4,  we can say the value is 3/ 8

<u>If the values are equivalent the ratios are equivalent.</u>

7 0
3 years ago
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