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emmainna [20.7K]
3 years ago
6

Write an explicit formula for the sequence 7, 2, –3, –8, –13, find the 14th term

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0

The 14th term is equal to -44.

y = 12 - 5x

The sequence can be represented by this function.

Each term is being subtracted by 5.

Using this function we can find the 14th time.


y = 12 - 5(14)

y = 12 - 56

y = -44


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In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
olasank [31]
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x =  number of bookshelves built.
Let y =  number of tables built.

The total number of bookshelves and tables =  18.
Therefore
x + y = 18.
 That is,
 y = 18 - x                    (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120            (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
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-5x = -42
  x = 8.4
From (1),obtain
 y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

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If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 =  $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.
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Find the equation for this table please?
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I'm pretty sure it's x/4=y
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pochemuha
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f(8) = 8/2 = 4

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Answer g(f(8)) = 1
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