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Ludmilka [50]
3 years ago
15

What is the slope of the graph of this function?

Mathematics
2 answers:
Oliga [24]3 years ago
7 0

Answer: C -7/3

Step-by-step explanation: Slope is rise over run, rise/run, and your line means your slope will be negative. So, you will first count straigt down from your firt point until you reach the line of the second point, which is 7. Next, you would count/run to the point, which is 3. Rise/run = -7/3. I hope this helps :)

sladkih [1.3K]3 years ago
6 0

Answer:

C) - 7/3

Step-by-step explanation:

Slope is rise over run, rise/run, and your line means your slope will be negative. So, you will first count straigt down from your firt point until you reach the line of the second point, which is 7. Next, you would count/run to the point, which is 3. Rise/run = -7/3. I hope this helps :)

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fgiga [73]
<h3>Answer:</h3>
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  • a_n = 2·(-3)^(n-1)
<h3>Step-by-step explanation:</h3>

A) The problem statement tells you it is a geometric sequence, so you know each term is some multiple of the one before. The first terms of the sequence are given, so you know the first term. The common ratio (the multiplier of interest) is the ratio of the second term to the first (or any term to the one before), -6/2 = -3.

So, the recursive definition is ...

... a_1 = 2

... a_n = -3·a_(n-1)

B) The explicit formula is, in general, ...

... a_n = a_1 · r^(n -1)

where r is the common ratio and a_1 is the first term. Filling in the known values, this is ...

... a_n = 2·(-3)^(n-1)

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