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Naily [24]
3 years ago
7

When you graph a system of linear equations, why does

Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0
Answer : every point on a line satisfies the related linear equation.A point that is on both lines (the intersection point) satisfies both equations.
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15. a music concert is organized at a memorial auditorium. the first row of the auditorium has 16 seats, the second row has 24 s
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The equation for the nth term in the arithmetic sequence is   8n + 8.

The number of people that can be accommodated in the 16th row is 136.

<h3>What is an  arithmetic progression?</h3>

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given that,

No. of seats in first row = 16

No. of seats in second row = 24

No. of seats in third row = 32

Total number of rows = 50

It forms an arithmetic progression

First term = a = 16

common difference d = 8

Number of terms, n = 50

(A) The formula for the n th term of an arithmetic progression is given by

Tn = a + (n - 1) d

    = 16 + (n-1) 8

    = 16 + 8n - 8

Tn = 8n + 8

(B) Now,

n = 16

The number of seats in 16 th row is given by

T(16) = 8 x 16 + 8

T(16) = 136 seats

Hence, (A)The equation for the nth term in the arithmetic sequence is   8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.

To learn more about arithmetic progression  from the given link:

brainly.com/question/24205483

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