8775 find the prime factorization of the number

Mathematics

1 answer:

OLEGan [10]3 years ago

5 0

8775

/ \

3 2925

/ \

3 975

/ \

3 325

/ \

5 65

/ \

5 13

/ \

13 1

Prime Factors: 3, 3, 3, 5, 5, 13

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Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

MrMuchimi

The solution to the inequality is x > 3

The number line that represent the solution set will be:

<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option

<h3>Linear Inequalities </h3>

From the question, we are to determine the number line that represents the solution set for the given inequality

The given inequality is

3(8 – 4x) < 6(x – 5)

First, we will solve the inequality

3(8 – 4x) < 6(x – 5)

Clear the brackets

24 - 12x < 6x - 30

Collect like terms

24 + 30 < 6x + 12x

54 < 18x

Divide both sides by 18

3 < x

∴ x > 3

Hence, the number line that represent the solution set will be:

<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option

Learn more on Linear inequalities here: brainly.com/question/28003708

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8 0

2 years ago

Rewrite lnx=4 as an exponential equation <br> rewrite as a logarithmic equation: e^8=y

andreyandreev [35.5K]

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