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fenix001 [56]
4 years ago
9

PLSSS HELP What is the formula for the following arithmetic sequence? -2, 3, 8, 13, ... an = -2n + 3 an = -2n + 7 an = 5n + 3 an

= 5n - 7
Mathematics
1 answer:
san4es73 [151]4 years ago
7 0

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

<u>an = -2n +3</u>

  -2(1) +3 = 1 . . . . not -2

<u>an = -2n +7</u>

  -2(1) +7 = 5 . . . . not -2

<u>an = 5n +3</u>

  5(1) +3 = 8 . . . . not -2

<u>an = 5n -7</u>

  5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

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bette drives at 60 mph for 2 and a half hours and 75 mph for 1 and a half hours. What is her average rate of speed?
andrezito [222]
There are a couple of ways to think about this.

1) Weight the speed by the time and compute the weighted average.
   (60*2.5 + 75*1.5)/(2.5 + 1.5) = 65.625
Her average rate of speed is 65.625 mph.


2) Consider distance and time.
   distance = speed * time
   distance₁ = speed₁ * time₁
   distance₂ = speed₂ * time₂
   total distance = distance₁ + distance₂
   total time = time₁ + time₂
And the average speed is given by
   average speed = (total distance)/(total time)

Using the above formulas, we have
   distance₁ = 60 mi/h * 2.5 h = 150 mi
   distance₂ = 75 mi/h * 1.5 h = 112.5 mi
   total distance = 150 mi + 112.5 mi = 262.5 mi

   total time = 2.5 h + 1.5 h = 4.0 h

   average speed = (262.5 mi) / (4.0 h) = 65.625 mi/h


Bette's average rate of speed is 65.625 mph.
7 0
3 years ago
How do I alive that problem
Svetach [21]
This can be written as...
(1/2)/(1/4) = h/1

Then you solve all of the fractions by multiplying them by 4 to make them intergers;

4(1/2)/4(1/4) = 2/1 = h/1

This means h is equal to 2.

Hope this helps! :)
7 0
3 years ago
What are the solutions to 16x -12x+0=54?
Citrus2011 [14]

Answer:

x = 13 1/2

Step-by-step explanation:

16x -12x+0=54

combine like terms

4x + 0 = 54

4x = 54

divide each side by 4

4x/4 = 54 /4

x = 54/4

x = 13 2/4

x = 13 1/2

8 0
3 years ago
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erica [24]
(7,2) is the answer.
There you go.
4 0
3 years ago
Use the parabola tool to graph the quadratic function f(x) = x2 – 12x + 27.
Dennis_Churaev [7]

Answer:

7

Step-by-step explanation:

you would chose 7 because it has more and less value

5 0
3 years ago
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