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2 years ago

Which answer choice represents an equivalent number sentence that uses the distributive property to rewrite "9(3 - 6)"?

Mathematics

2 answers:

Mazyrski [523]2 years ago

5 0

It’s a because once it all adds up

skelet666 [1.2K]2 years ago

4 0

A. 9(3) -9(6) = 27-54.
9(3-6) is asking you to foil, multiple the 9 to the inside numbers in the ().

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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence

algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

$r = a_2 \div a_1 = 4 \div 8 = 0.5$

$\texttt{ }$

<em>The iterative rule for the sequence:</em>

$a_n = a_1 \cdot~ r^{n-1}$

$a_n = 8 \cdot~ (0.5)^{n-1}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

6 0

2 years ago

34. The product of two algebraic

S_A_V [24]

Answer:

3a²b

Step-by-step explanation:

The product of two algebraic

terms is 6a3b2. If one of the terms is

2ab, find the other term.

Let us represent

First term = a

Other term = b

a × b = 6a³b²

a = 2ab

b = ?

b = 6a³b²/a

b = 6a³b²/2ab

b = 6a³b²/2a¹b¹

b = (6 ÷ 2) × a^3 - 1 × b ^2 - 1

b = 3a²b

Therefore, the other term = 3a²b

7 0

3 years ago

I need help ASAP <br> Show your work: x - 8 = 12

choli [55]

Answer:

x = 20

Step-by-step explanation:

x - 8 = 12 Add 8 to both sides

x -8 + 8 = 12 + 8 Add -8 and 8; add 12 and 8

x = 20

6 0

2 years ago

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5. Artie uses 1 1/3 yards of rope to make the bottom of his hammock stronger He uses 10 inches of rope to strengthen some areas

LenKa [72]

The correct answer is C 11/8 and 48 inches

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2 years ago

The truck shop needed 20 liters of milk.They ordered personal size weighing 500ml.How much boxes of milk did they order

babunello [35]

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2 years ago