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rewona [7]
3 years ago
5

What is the common difference between successive terms in the sequence?

Mathematics
2 answers:
nexus9112 [7]3 years ago
5 0

Hello!

The answer to your question is -6.5

:)

Gelneren [198K]3 years ago
3 0

Answer:

The common difference would be -6.5

Step-by-step explanation:

Given sequence,

9, 2.5, -4, -10.5, -17, ...

Since,

2.5 - 9 =  -4 - 2.5 = -10.5 + 4 = -17+10.5 ... = -6.5

Thus, 9, 2.5, -4, -10.5, -17, ... is an AP,

In an AP the difference between any two consecutive terms is called the common difference.

Hence, the common difference would be -6.5

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Write the equation of the line in point-slope form that goes through the points (0, 1) and (2, 7)
laiz [17]

Answer:

point - slope form

 y - 1 = 3 (x-0)

Step-by-step explanation:

<u><em>step(i):-</em></u>

Given points are (0,1) and (2,7)

The slope of the line

     m = \frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

    m = \frac{y_{2}-y_{1}  }{x_{2} -x_{1} } = \frac{7-1}{2-0} = \frac{6}{2}  = 3

  m =3

<u><em>Step(ii):-</em></u>

point -slope form

   y - y₁ = m(x-x₁)

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3

   y - 1 = 3 (x-0)

  y -1 = 3x

 3x - y +1=0

Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0

4 0
3 years ago
Can someone help me with this ASAP
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Text my number ( 4015166761) i did all of that already im in 7th ill hook u up wit all the answers .
6 0
3 years ago
Read 2 more answers
The total cost to rent 5 chairs and 3 tables is $27. The total cost to rent 2 chairs and 12 tables is $81. What is the cost to r
kati45 [8]

The cost to rent each chair is $1.5 and cost to rent each table is $6.5

<h3>Applications of systems of linear equations </h3>

From the question, we are to determine the cost to rent each chair and each table

Let c represent chair

and

t represent table

From the given information,

The total cost to rent 5 chairs and 3 tables is $27

That is,

5c + 3t = 27 ------------ (1)

Also,

The total cost to rent 2 chairs and 12 tables is $81

That is,

2c + 12t = 81 ---------- (2)

Now, solve the equations simultaneously

5c + 3t = 27 ------------ (1)

2c + 12t = 81 ---------- (2)

Multiply equation (1) by 2 and multiply equation (2) by 5

2 × [5c + 3t = 27 ]

5 × [2c + 12t = 81 ]

10c + 6t = 54        ------------- (3)

10c + 60t = 405   ------------- (4)

Subtract equation (4) from equation (3)

10c + 6t = 54        

10c + 60t = 405

---------------------------

-54t = -351

t = -351/-54

t = 6.5

Substitute the value of t into equation (2)
2c + 12t = 81

2c + 12(6.5) = 81

2c + 78 = 81

2c = 81 - 78

2c = 3

c = 3/2

c = 1.5

∴ The cost of chair is $1.5 and cost of table is $6.5

Hence, the cost to rent each chair is $1.5 and cost to rent each table is $6.5

Learn more on Solving system of linear equations here: brainly.com/question/13729904

#SPJ1

8 0
2 years ago
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