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nikitadnepr [17]
3 years ago
7

I will give brainliest

Mathematics
1 answer:
algol [13]3 years ago
6 0

Answer:

a_n = 8n+8 represent the sequence 16,24,32,40...

Step-by-step explanation:

The sequence given is

16,24,32,40.

And the options given are

an=4n+1

an=8n+8

an=8n+16

We will check for all so as to find the correct expression.

In the given sequence the first term is 16,

i.e a1 = 16

1). We will check for an = 4n+1 whether the first term is 16 or not.

We will put the value of n as 1;

a_1= 4\times1+1= 4+1=5

With this option we get the first term as 5 but in the given sequence first term is 16.

Hence this option is Incorrect.

2). We will check for an = 8n+8 whether the first term is 16 or not.

We will put the value of n as 1;

a_1= 8\times1+8= 8+8=16

With this option we get the first term as 16 and in the given sequence also first term is 16.

Hence this option is correct.

3). We will check for an = 8n+16 whether the first term is 16 or not.

We will put the value of n as 1;

a_1= 8\times1+16= 8+16=24

With this option we get the first term as 24 but in the given sequence first term is 16.

Hence this option is Incorrect.

Hence we can say that an = 8n+8 represent the sequence 16,24,32,40...

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Answer:

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Step-by-step explanation:

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2 years ago
Solve for : x 4(x+5)=3(x-2)-2(x+2)
Allushta [10]

Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

( 4 × x ) + ( 4 × 5 )

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Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

3x - 6

Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

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Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

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Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

30 = -3x

Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

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Step-by-step explanation:

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notka56 [123]
The answer is:  (z - 6)(z + 15)

z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
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4 0
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2 POS
Lostsunrise [7]

Answer:

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Step-by-step explanation:

x+20+10x=20+9x

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