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lutik1710 [3]
3 years ago
9

Can Someone Help Please.

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

1. y = 9280 - 20x

2. f(y) = 6.37y - 3

Step-by-step explanation:

1. The equation is given to be \frac{1}{16}x + \frac{1}{320}y - 29 = 0

Now, rearranging the function we can write  

\frac{y}{320} = 29 - \frac{x}{16}

⇒ y = 9280 - 20x

Hence, this is the equation as a function of x. (Answer)

2. The given function is y - 6.37x = - 3

Therefore, we can write, y = 6.37x - 3

Hence, f(x) = 6.37x - 3

⇒ f(y) = 6.37y - 3.

Hence, option D is true. (Answer)

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Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

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Step-by-step explanation:

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PLEASE HELP ASAP!!!!
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Step-by-step explanation:

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8 0
3 years ago
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