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rodikova [14]
3 years ago
5

Identify the property that justifies each step asked about in the answer area below. Line 1: \text{Line 1: }\phantom{=}Line 1: =

4(8+9x)\,\,4(8+9x)4(8+9x) Line 2: \text{Line 2: }\phantom{=}Line 2: = 4(9x+8)\,\,4(9x+8)4(9x+8) Line 3: \text{Line 3: }\phantom{=}Line 3: = 36x+32\,\,36x+3236x+32 Line 1 to Line 2: Line 2 to Line 3:
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

1. Commutative Property of Addition

2. Distributive property

Step-by-step explanation:

Given

Line 1:  4(8+9x)

Line 2:  4(9x+8)

Line 3: 36x+32

Required

Justify each step

From Line 1 to 2:

The property from Line 1 to 2 depicts a + b = b + a;

i.e.

4(8 + 9x) = 4(9x + 8)

This is referred to as Commutative Property of Addition

From Line 2 to 3:

The property here depicts a(b + c) = a * b + b * c

i.e.

4(9x + 8)  = 4 * 9x + 4 * 8

4(9x + 8) = 36x + 32

This is referred to as Distributive property

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Answer: n > \frac{-23}{3}

Step-by-step explanation:

1. So, to understand this you need to understand that the opposite of 11 is -11.

2. Use the formula 3n+12>-11.

3. Subtract 12 from both sides (3n>-23)

4. Divide by 3 on both sides. (n>\frac{-23}{3})

5. You can go a step further and simplify into -7\frac{2}{3}.

6. n > \frac{-23}{3}

6 0
3 years ago
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Solve: log8 (x - 4) = 2
Vsevolod [243]

Answer:

x = 68

Explanation:

⇒ log₈(x - 4) = 2

<u>apply log rules</u>: logₐN = x then N = aˣ

⇒ (x - 4) = 8²

<u><em>simplify</em></u>

⇒ x - 4 = 64

<u><em>add 4 on both sides</em></u>

⇒ x = 64 + 4

<u><em>add the integers</em></u>

⇒ x = 68

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2 years ago
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0 = −5n − 2n How do I solve this
masha68 [24]
Combine like terms and then divide out the coefficient to solve for n
8 0
3 years ago
II. Identify the following terms described in each item. Quantitative &amp; Qualitate. It can be separated into different catego
guajiro [1.7K]

It is a branch of mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.​

1. C. Discrete

2. A. interval

3. B. Quantitative data

4. B. Ratio

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A random variable is called continuous if its possible values contain a whole interval of numbers.

2. The third level of measurement is the interval level of measurement. The interval level of measurement not only classifies and orders the measurements but also specifies that the distances between each interval on the scale are equivalent along the scale from low interval to high interval.

3. Quantitative data consist of numerical measurements or counts.

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There is no value possible below 0 degrees Kelvin, it is absolute zero.

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6 0
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Select the correct answer.
mariarad [96]

The answer to this Question is A

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