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igomit [66]
3 years ago
8

A carnival charges $5 to get in, plus $2 per ride. Which equation represents the relationship between the number of carnival rid

es a person rides x and the cost of attending the carnival y.
x= 2x+5


y= 2x-5


y= 2x+5


y= 5-2x
Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer: y= 2x+5

Step-by-step explanation:

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The third term of an arithmetic sequence is 14 and the 9th term is -1. Find the first four terms of the sequence.​
Liula [17]

Answer:

The first four terms of the sequence are :  19, 16.5 , 14 , 11.5

Step-by-step explanation:

In the given sequence:

a(3) =  14, a(9)  = -1

The general term of a sequence in Arithmetic Progression is:

a(n) = a + (n-1)d

a(3) = a + (3 -1) d = a + 2 d

and a(9) = a + (9- 1 ) d = a  + 8 d

⇒   a + 2 d =  14      .........  (1)

and a + 8 d  = -1    ...........  (2)

Now, solving the given system of equation, we get:

From (1), a  = 14 - 2 d

Put in (2), we get:

a + 8 d  = -1                ⇒   14 - 2 d + 8d = -1

⇒  14 +   6d   = -1  

or,  6d = -1 -14 = -15

⇒  d = -15/6 = -2.5

or, d  = -2.5

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Now, first four terms of the sequence is:

a = 19

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a(3) = a + 2d = 19 + 2(-2.5) = 19 - 5 = 14

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Hence, the first four terms of the sequence are :  19, 16.5 , 14 , 11.5

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3 years ago
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