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2 years ago

Solve this equation by elimination method...

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

4 0

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

2 years ago

The function c=2.50(n-2)+1.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?

Yuri [45]

Please put the selections. I can't tell you what isn't true if you don't.

6 0

3 years ago

ANSWER PLZ QUICK AND FAST

kherson [118]

Half of n, is option D, n/2.

This is because if you divide something by 2, you are dividing it in half.

Hope this helps!

3 0

3 years ago

(PLEASE HELP!!) Use the following diagram to answer the questions.

monitta

Answer:

5x - 29 = 3x+ 19

2x = 48

x = 24°

Angle 1:

180 - (3x+7) = 180 - 79 = 101°

Angle 2:

3x + 7 = 79°

Angle 3:

Same as Angle 1 = 101°

Angle 4:

Same as Angle 1 = 101°

Angle 5:

Same as Angle 2 = 79°

Angle 6:

Same as Angle 5 = 79°

Angle 7:

180 - (5x - 29) = 180 - 91 = 89°

Angle 8:

Same as Angle 7 = 89°

Angles 2 and 3 are Supplementary angles

5 0

3 years ago

What are two lines that intersect to form right angles called?

Svet_ta [14]

C because it’s c trust me

3 0

3 years ago

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