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4 years ago

Help me plz ASAP

Mathematics

1 answer:

Hatshy [7]4 years ago

4 0

The equation has one solution

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What is the common ratio and explicit formula for -2,6,-18,54?

Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

$a_{4} =\frac{1}{(a_{1})^4}$

Step-by-step explanation:

Given sequence is ${\{-2,6,-18,54}\}$

Let $a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54$

To find the common ratio r:

$r=\frac{a_{2}}{a_{1}}$

$=\frac{6}{-2}$

$=-3$

Therefore r=-3

$r=\frac{a_{3}}{a_{2}}$

$=\frac{-18}{6}$

$=-3$

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is $a_{n}=a_{1}^{r-1}$ , where common ratio is r.

From given sequence we are having r=-3

Therefore the explicit formula for a given geometric sequence is of the form $a_{4} =a_{1}^{-3-1}$

$a_{4} =a_{1}^{-4}$

$a_{4} =\frac{1}{(a_{1})^4}$

6 0

3 years ago

Martin has a gift card to a coffee shop. Each day he buys the same coffee. This table shows the amount remaining in dollars on t

ale4655 [162]

Answer:

The answer is C. y – 9.35 = −2.95(x – 7).

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve for x. 2(3 + x) = 5x + 54 A. 17 B. 16 C. -16 D. -17

nataly862011 [7]

Answer:

X= -12

Step-by-step explanation:

Hope this helps please make me the brainliest!

5 0

3 years ago

Read 2 more answers

Max earns $9.30 per hour does part time job how much money will max earn if he works 1,5,8,H hours also how many hours will he w

nataly862011 [7]

Step-by-step explanation:

write a formula that models this.

9.30x = money earned

If he works 2 hours, he'll get $9.30 times (2)

and so on. so you write and solve

9.30(1), 9.30(5), 9.30(8)

for the second part you want to substitute 180 for the amount earned which will become

9.30x = 180 then you solve for x

3 0

3 years ago

You can peel 48 potatoes in 10 minutes. How long will it take you to peel 100 potatoes?

dybincka [34]

Answer:

About 20.8 minutes

Step-by-step explanation:

TO solve this just think of it as a ratio. The number of potatoes goes on top and the time goes on bottom.

That is what the first one would look like. In the second one we know the number of potatoes but we are trying to find the time (x).

100

___

Take these two ratios and set them equal to each other.

$\frac{48}{10} =\frac{100}{x}$ Next you cross multiply (take 48 times x and 100 times 10).

48x=1000 Now divide by 48 and you have your answer.

About 20.8 minutes

7 0

4 years ago