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lukranit [14]
3 years ago
12

Determine the common ratio r of a geometric sequence with first term 5 and fourth term -40.

Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

Step-by-step explanation:

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Write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (0, 7).
patriot [66]

Answer:

A. y = -\frac{4}{5}x + 7

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y-intercept

<em>It gives us the slope, so we can plug that in:</em> y = -\frac{4}{5}x + b

<em>Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)</em>

y = -\frac{4}{5}x + b

7 =  -\frac{4}{5}(0) + b

7 = b

<em>Last, complete our equation:</em>

y = -\frac{4}{5}x + b

y = -\frac{4}{5}x + 7

4 0
3 years ago
Find quotient<br> (2x-3/x) / (7/x^2)
Svetlanka [38]

Answer:

2x^3-3x/7

I hope it's helpful

8 0
3 years ago
What are all values of x for which the series shown converges? ​
adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}

We can write this as:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}

Then we have the inequality

1 > (x - 2)/3

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

5 0
3 years ago
What's the answer and show your work by using the funnel method
Paraphin [41]
Answer: i got 44 for the answer
5 0
2 years ago
What is the domain of g?
lawyer [7]

Answer:

A choice.

Step-by-step explanation:

Domain starts at x = - 7 and ends at x = 4. The domain from the graph is also continuous. Therefore, we can rule out C and D.

B is not correct as domain starts from x = -7 and not x = - 4.

8 0
3 years ago
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