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3 years ago

Factor 6x? + x – 12 by grouping. C

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Answer:

6x² + x - 12 = (2x + 3) (3x - 4)

Step-by-step explanation:

Factor 6x² + x - 12 by grouping

we need to rewrite the middle term as a sum of two terms whose product is (6* −12) = −72 and whose sum is 1

The middle term = x = 9x - 8x

6x² + x - 12

= 6x² + 9x - 8x - 12 Grouping the first two terms and the last two terms

= (6x² + 9x) + ( - 8x - 12)

From the first two terms take 3x as a common and from the two terms take (-4) as a common

= 3x ( 2x + 3) -4 (2x + 3)

Take (2x + 3) as a common

= <u> (2x + 3) (3x - 4)</u>

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Step-by-step explanation:

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On this case we need to find the sample standard deviation with the following formula:

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And replacing into the formula for the interval we got:

$\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

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$19.08 \leq \sigma \leq 66.56$

Part b

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