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3 years ago

What is the common ratio for the geometric sequence below, written as a fraction?

Mathematics

2 answers:

allsm [11]3 years ago

8 0

Common ratio = second term/first term = 480/768 = 5/8.

Akimi4 [234]3 years ago

8 0

Answer:

5/8 on E2020

Step-by-step explanation:

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-3|9x-7|=2 Find the answer for x

labwork [276]

<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

No Solutions

<h3>Step-by-step explanation:</h3>

Given:

$-3|9x -7| = 2$

Rewriting the given equation:

$-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}$

We have to realize that the right side of the equation, $|9x -7|$ , will always be positive no matter what real values of $x$ (because we're taking the absolute value of the expression) and we are equating it to a negative constant number, $-\frac{2}{3}\\$ . Something that is always positive will never be negative so there's no value for $x$ that satisfies the solution.

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You may not read the following passage that I have written.

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Solving by positive of the expression:

$9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}$

Solving by the negative of the expression:

$-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\ 9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}$

Checking: $x = \frac{19}{27}\\$

$-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{19}{27}\\$ is an extraneous solution.

Checking: $x = \frac{23}{27}\\$

$-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{23}{27}\\$ is an extraneous solution.

8 0

2 years ago

Currency exchange rates are constantly fluctuating. How might this affect the currency exchange plans of a traveler who plans to

Bingel [31]

Answer:

Currency exchange rates fluctuations pose budget uncertainty risk for future travellers. A solution to this is Forward Exchange rate markets.

Step-by-step explanation:

Currency Exchange rate is the rate at which two currencies can be exchanged for each other, it is the price of one currency in terms of other.

The currency exchange rates are dynamic, fluctuating based on demand & supply of currencies in foreign exchange markets. This uncertainty in currency rates is not good for foreign travellers, for making later plans. It might disturb their entire allotted budget.

So, they should purchase foreign exchange on Forward Exchange Rate. This rate depicts agreement for exchange of currencies, at pre-determined exchange rate, at a specific date. Buying foreign exchange from Forward markets will protect travellers from Forex volatilities.

5 0

2 years ago

HEY PLEASE HELP

pshichka [43]

The answer is $50.45 I think

3 0

3 years ago

Read 2 more answers

Pls explain deeply

fgiga [73]

26
26
14 that would be the answers

7 0