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kirill115 [55]
3 years ago
13

Multiply

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Answer:

12 x^4 + 18 x^3 - 9 x^2 thus D is the correct answer.

Step-by-step explanation:

Expand the following:

3 x^2 (4 x^2 + 6 x - 3)

3 x^2 (4 x^2 + 6 x - 3) = 3 x^2 (4 x^2) + 3 x^2 (6 x) + 3 x^2 (-3):

3 4 x^2 x^2 + 3 6 x^2 x - 3 3 x^2

3 (-3) = -9:

3 4 x^2 x^2 + 3 6 x^2 x + -9 x^2

3 x^2×6 x = 3 x^(2 + 1)×6:

3 4 x^2 x^2 + 3×6 x^(2 + 1) - 9 x^2

2 + 1 = 3:

3 4 x^2 x^2 + 3 6 x^3 - 9 x^2

3×6 = 18:

3 4 x^2 x^2 + 18 x^3 - 9 x^2

3 x^2×4 x^2 = 3 x^4×4:

3×4 x^4 + 18 x^3 - 9 x^2

3×4 = 12:

Answer:  12 x^4 + 18 x^3 - 9 x^2

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Step-by-step explanation:

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Carl has a rock collection. Of the rocks, 3/8 are quartz and 1/3 are granite. What fraction of Carl's rocks are quartz or granit
hoa [83]

Answer:

\frac{17}{24} <em>of Carl's rocks are quartz or granite</em>

Step-by-step explanation:

<u>Proportions and Fractions </u>

A proportion is expressed as a fraction a/b, where a and b are compared by division. If a=b, the proportion (or ratio) equals 1, if a<b, the ratio is less than 1, and if a>b, the ratio is greater than 1. The proportion of elements of a set to the total number of elements of the set is less than one, and the sum of all them equals 1.

We know 3/8 of Carl's rock collection are quartz and 1/3 are granite. If both subsets of rocks are mutually exclusive or disjoint (cannot happen simultaneously), then the proportion of both is the sum of the fractions.

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Answer:

90

Step-by-step explanation:

First, we should find the area of the trapezoid, and then subtract the area of the removed triangle in order to find the shaded area.

Area of the trapezoid

1) Area of the rectangle in the middle.

Base Length: 10

Height Length: 10

Area: 10 x 10 = 100

2. Area of the triangles on the side

Base Length: (14 - 10)/2 = 2

Height Length: 10

Area: 2 x 10 x 1/2 = 10

There are two triangles: 10 x 2 = 20

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Area of the triangle that's been removed

Base Length: 10

Height Length: 10 - 4 = 6

Area: 10 x 6 x 1/2 = 30

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Area of the shaded region is 90.

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Step-by-step explanation:

(-2a² + s)(5a² - 6s)

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