Choose the correct simplification of the expression −6x2(4x − 7x2 − 2)

Mathematics

2 answers:

patriot [66]2 years ago

6 0

The correct answer is 42x^4-24x^3+12x^2

sdas [7]2 years ago

5 0

Assignment: $\bold{Simplify \ -6x\cdot \:2\left(4x-7x\cdot \:2-2\right)}$

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Answer: $\boxed{\bold{-12x\left(-10x-2\right)}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Multiply Numbers: $\bold{7\cdot \:2=14}$

$\bold{-6\cdot \:2x\left(4x-14x-2\right)}$

[ Step Two ] Combine Similar Elements $\bold{4x-14x=-10x}$

$\bold{-6\cdot \:2x\left(-10x-2\right)}$

[ Step Three ] Multiply Numbers: $\bold{6\cdot \:2=12}$

$\bold{-12x\left(-10x-2\right)}$

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$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

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Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 513 and a standard deviation of 82. Use

Trava [24]

Answer:

Note that we need calculate the scores between the mean ( $\mu=513$ ) and the mean plus 3 times the standard deviation. It is 3 times since the distance between the values given (513 and 759) divided by the standard deviation is 3 ( $\frac{759-513}{82}=3$ )

So the rule say that 99.7% of data is between $\mu - 3\sigma$ and $\mu + 3\sigma$ , as it is a normal distribution half of 99.7% is between $\mu$ and $\mu+3\sigma$ . Hence 49.85% of people score between 513 and 759.