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2 years ago

What is the common ratio of the sequence? -2,6,-18,54

Mathematics

1 answer:

aivan3 [116]2 years ago

6 0

ANSWER

The common ratio is -3.

EXPLANATION

In general, the common ratio of a Geometric Sequence is given by:

$r = \frac{a_{n+1}}{a_{n}}$

We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.

The given sequence is -2,6,-18,54

Using the first two terms the common ratio is

$r = \frac{6}{ - 2} = - 3$

We could also used the second and third terms to get

$r = \frac{ - 18}{6} = - 3$

and so on and so forth.

Therefore the common ratio is -3.

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Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to the

alukav5142 [94]

Answer:

a) y = |x/2 -2| +4

b) y = |x/2 -2| +2

c) y = |(x+1)/2 -2| +3

d) y = |(x-1)/2 -2| +3

Step-by-step explanation:

To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...

g(x) = f(x -h) +k

a) one unit up

Add 1 to the function value.

$y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}$

b) one unit down

Subtract 1 from the function value.

$y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}$

c) one unit left

Replace x with x-(-1).

$y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}$

d) one unit right

Replace x with x-1.

$\boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}$

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3 years ago

I don't know how to solve this.Please help! 3^x=2

svet-max [94.6K]

So 3^X= 2 is an exponential equation. The inverse of an exponential in ln. so take ln of both sides to solve.

Another way is to change the exponential into a log equation
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2 years ago

Solve st + 3t = 6 for s

vaieri [72.5K]

st + 3t = 6 for s

Subtract 3t to both sides

st + 3t - 3t = 6 - 3t

Simplify

st = 6 - 3t

Divide both sides by t

st/t = (6-3t)/3

simplify

s = 6/3 - 3t/3

s = 2 - t

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2 years ago

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Sladkaya [172]

Answer:

The correct answer is that it's expected the team will score 72 points.

Step-by-step explanation:

1. This is the information given in the question:

When Shenise can play the team scores 91 points

Without Shenise the team just scores 60 points

Therefore, when Shenise is at her best, her 100%, she scores 31 points by herself. When she's not in conditions, she can't play.

2. For finding out how many points Shenise can score if she plays, we use this formula:

If Shenise is at her 100%, she scores 31 points, how many points can she score if she's at 40% chance of playing?

Points upcoming game = 31 * 40 / 100

Points upcoming game = 1,240 / 100

Points upcoming game = 12.40 = 12 (rounding to the nearest whole number)

3. If Shenise plays, she can score 12 points. Now, we can calculate how many points her team will score.

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The team will probably score 72 points with a 40% chance that Shenise will play the upcoming game

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Step-by-step explanation:

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