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2 years ago

Which expression is equal to (x+2) (-x^2+2x-6)

Mathematics

1 answer:

lyudmila [28]2 years ago

6 0

Answer:

$\huge\boxed{C.\ -x^3-2x-12}$

Step-by-step explanation:

$(x+2)(-x^2+2x-6)\\\\=(x)(-x^2)+(x)(2x)+(x)(-6)+(2)(-x^2)+(2)(2x)+(2)(-6)\\\\=-x^3+2x^2-6x-2x^2+4x-12\\\\\text{combine like terms}\\\\=-x^3+(2x^2-2x^2)+(-6x+4x)-12\\\\=-x^3-2x-12$

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Debora [2.8K]

Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression

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With this expression we can easily deduce the perimeter of a circle (length of the full arc)

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There is only one operation involved in this process

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3 years ago

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Answer:

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3 years ago

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AlladinOne [14]

Answer:

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Step-by-step explanation:

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3 years ago

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rusak2 [61]

Answer:

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2 years ago

You measure 22 textbooks' weights, and find they have a mean weight of 64 ounces. Assume the population standard deviation is 5.

lara31 [8.8K]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the true population mean textbook weight.

Number of sample, n = 22

Mean, u = 64 ounces

Standard deviation, s = 5.1 ounces

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

64 ± 1.645 × 5.1/√22

= 64 ± 1.645 × 1.087

= 64 ± 1.788

The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces

The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces

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3 years ago