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Ugo [173]
3 years ago
15

Choose the expression equivalent to (3.5x + 5.1) - (-2x-9)

Mathematics
1 answer:
matrenka [14]3 years ago
3 0
3.5x + 5.1 - (-2x) - (-9) which is the same thing as saying: 3.5x + 5.1 + 2x + 9



reorder again and combine like terms

3.5x + 2x + 5.1 + 9
= 5.5x + 14.1


your answer should be 5.5x + 14.1, hope this helped you! :)


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Write the expression in standard form.<br> (8f - 4 + 1g) - (-29 + 7)
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Which expression does not factor?<br><br> m3 + 1<br> m3 – 1<br><br> m2 + 1<br><br> m2 – 1
Luda [366]

Answer:

m^2 +1

Explanation:

All the other expressions can be factorized. Let's see why:

1) m^3 +1

This is the sum of the cubes, and this can be factorized as follows:

a^3+b^3=(a+b)(a^2-ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3+1=(m+1)(m^2-m+1)

2) m^3-1

This is the difference between two cubes, and this can be factorized as follows:

a^3-b^3=(a-b)(a^2+ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3-1=(m-1)(m^2+m+1)

3) m^2-1

This is the difference between two square numbers, and it can be factorized as follows

(a^2-b^2)=(a+b)(a-b)

In this case, a=m and b=1, so we can factorize as

m^2-1=(m+1)(m-1)

4 0
4 years ago
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3 years ago
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Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 f
Doss [256]

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

22 + 8 = 6W

30 = 6W

W = 30/6

Width, W = 5 feet.

To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

L = 2(5) - 4

L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.

5 0
3 years ago
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kotegsom [21]

Answer:

16d+7

Step-by-step explanation:

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