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Ket [755]
3 years ago
13

URGENT!!!!!!

Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer: Choice B

a_n = 10(1/2)^(n-2) is the nth term

average rate of change = -35/3

=======================================================

Explanation:

Each time x increases by 1, y is cut in half. For instance, going from (2,10) to (3,5) shows this.

If we want to go in reverse, decreasing x by 1 will double the y value. So (1,20) is another point and (0,40) is another. We'll be using (0,40) and (3,5) because we want the average rate of change from x = 0 to x = 3. I'm using x in place of n here.

Use the slope formula to find the slope of the line through (0,40) and (3,5)

m = (y2-y1)/(x2-x1)

m = (5-40)/(3-0)

m = -35/3

The negative slope means the line goes downhill as you read it from left to right. The average rate of change from n = 0 to n = 3 is -35/3

The nth term of this geometric sequence is 20(1/2)^(n-1) since 20 is the first term (corresponds to n = 1) and 1/2 is the common ratio. Your teacher has done a bit of algebraic manipulation to change the n-1 into n-2. This means the 20 has to change to 10 to counterbalance.

In other words, 20(1/2)^(n-1)  is equivalent to 10(1/2)^(n-2) when n starts at n = 1.

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5 0
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Mrrafil [7]

Answer:

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Step-by-step explanation:

Explanation is in the attachments.

Hope this helps! :)

7 0
3 years ago
3x - 20 = 4 PLEASE EXPLAIN HOW YOU GOT THE ANSWER IN STEPS!
sammy [17]

Answer:

x = 8

Step-by-step explanation:

3x - 20 = 4

add 20 to both sides

3x - 20 + 20 = 4 + 20

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7 0
2 years ago
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Yuliya22 [10]

Answer:

1/4

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Therefore, the probability that the next customer will buy a computer will be:

P(c) = 25 / 100 = 1/4

7 0
3 years ago
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