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3 years ago

What is 8 to the second power open parentheses 3x - 2 closed parentheses + 5 = 56. solve for x

1 answer:

8 0

8² (3x -2) + 5 = 56 I do the exponents first
64 (3x -2) + 5 = 56 I distribute the 64 over the 3x-2
192x - 128 + 5 = 56 I combined liked terms (-128+5)
192x -123 = 56 I add 123 to both side
192x - 123 +123= 56 + 123 Finally I divide both sides by 192
<u>192x</u> = <u>179
</u>192 192

x = $\frac{179}{192}$

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3 years ago

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Step-by-step explanation:

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3 years ago

If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence

hammer [34]

The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

$S = \frac{a}{1 - r}$

This gives

$S = \frac{150}{1 - 0.8}$

Evaluate

S = 750

Hence, the sum of the sequence is 750