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3 years ago

Simplify (x-5)(x^2-2x-6)

Mathematics

1 answer:

spin [16.1K]3 years ago

6 0

Answer:

x³ - 7x² + 4x + 30

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 2x - 6) - 5(x² - 2x - 6) ← distribute both parenthesis

= x³ - 2x² - 6x - 5x² + 10x + 30 ← collect like terms

= x³ - 7x² + 4x + 30

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Maclaurin series of sinx

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Answer:

cos(u) and sin(u) can be expanded in with a Maclaurin series, and cos(c) and sin(c) are constants.

Step-by-step explanation:

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4 years ago

-10x - 135 = 117 + 2x A. 25 B. -18 C. -21 D. 22 Helps pls

Lina20 [59]

Answer:

Step-by-step explanation:

Add 10x to both sides:

-10x - 135 = 117 + 2x

-10x - 135 + 10x = 117 + 2x + 10x

-135 = 117 + 12x

Subtract 117 from both sides:

-135 - 117 = 117 + 12x - 117

-252 = 12x

Divide both sides by 12:

$\frac{-252}{12} = \frac{12x}{12}$

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3 years ago

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Alja [10]

Hi There!

Answer:

$18.25 per hour.

Step-by-step explanation:

365 / 20 = 18.25 (hourly pay)

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3 years ago

What type of association is shown by the scatterplot?

Inessa [10]

Answer: The answer is A

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4 years ago

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Find the volume of a pyramid with a square base, where the perimeter of the base is 8.2\text{ cm}8.2 cm and the height of the py

7nadin3 [17]

Answer:

$V=18.2cm^3$

Step-by-step explanation:

The volume of the pyramid is given by:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height.

We know that the height is:

$h=13cm$

Thus we need to find the area of the square at the base.

The perimeter of the square is:

$p=8.2cm$

this means that the length of the sides of the square is :

$l=\frac{p}{4}\\ \\l=\frac{8.2cm}{4}\\ \\l=2.05cm$

Now we can find the area of the base which the area of the square:

$A_{b}=l^2\\A_b=(2.05cm)^2\\A_b=4.2025cm^2$

and finally we find the volume:

$V=\frac{A_{b}h}{3}$

$V=\frac{(4.2025cm^2)(13cm)}{3}\\ \\V=\frac{54.6325cm^3}{3}\\ \\V=18.2108cm^3$

Which rounded to the nearest tenth of a cubic centimeter is: $V=18.2cm^3$

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3 years ago