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joja [24]
4 years ago
15

The first five terms of a pattern are shown.

Mathematics
1 answer:
Andrej [43]4 years ago
6 0

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

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What is the domain and the range of the relation represented by the ordered pairs? {(6,6),(−1,3),(3,6),(0,4)}{(6,6),(−1,3),(3,6)
Inessa [10]
Hello,

Let's review: The domain is all the possible x values of a relation/function. To get the domain, we look at the x values in the ordered pairs.

The domains are: {-1, 0, 3, 6} - as you can see these are the x values of each pair.

Let's review: The range is all the possible y values in a relation/function. To find the rang, we look at the y values of the pairs.

The ranges are: {3, 4, 6} - notice how there are two "6" in those pairs, and when writing the range, you don't need to repeat the number if it's already written.


I hope this helps! =)

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4 0
3 years ago
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murzikaleks [220]
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4 years ago
1. As the value of x increases, the value of f(x) (increases or decreases)?
gladu [14]

Answer:

the first one is just asking if x increases, does the line go up to down if you look from the graph? The y, or f(X) values will increase as X increases. X intercept means when does the line touched the X axis? From the graph the line touches it at (-3,0)

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3 years ago
2(4x - 3) 2-3(3x) + 5x​
SashulF [63]

Answer:

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Step-by-step explanation:

I believe this is the correct answer, but correct me if I'm wrong.

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3 years ago
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Zepler [3.9K]

Answer:

x = 4, x = 8

Step-by-step explanation:

To find the roots equate to zero, that is

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6 0
3 years ago
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