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pychu [463]
3 years ago
8

Solve the inequality 12(1/2x-1/3)>8-2x

Mathematics
2 answers:
Setler [38]3 years ago
6 0

Answer:

The answer is

<h2>x >  \frac{3}{2}</h2>

Step-by-step explanation:

<h3>12( \frac{1}{2} x -  \frac{1}{3} ) > 8 - 2x</h3>

<u>Expand the terms in the bracket</u>

That's

<h3>6x - 4 > 8 - 2x</h3>

Move - 2x to the left side of the inequality to make it positive

<h3>6x + 2x - 4 > 8 \\ 8x - 4 > 8</h3>

<u>Add 4 to both sides</u>

That's

<h3>8x - 4 + 4 > 8 + 4 \\ 8x > 12</h3>

<u>Divide both sides by 8</u>

<h3>\frac{8x}{8}  >  \frac{12}{8}</h3>

We have the final answer as

<h3>x >  \frac{3}{2}</h3>

Hope this helps you

Yuliya22 [10]3 years ago
6 0

Answer:

x > 3/2

Step-by-step explanation:

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In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?
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m<N, m<L, m<M

Step-by-step explanation:

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3 years ago
Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2. Step 1 - Fill in the missing number: A vertical line and horizont
wariber [46]

The value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).

<h3>What is synthetic division?</h3>

In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, a technique of polynomial division.

The question is attached to the picture please refer to the picture.

We have a polynomial:

x³ - 3x² - 10x + 24

Which is divided by (x - 2)

We can divide using the synthetic division:

The first row: 1   -3   -10   24

The entry outside the row: 2

The missing value which is 2

k = 2

Thus, the value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).

Learn more about the synthetic division here:

brainly.com/question/11850611

#SPJ1

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2 years ago
in addition to dog walking on Tuesday Eric made $45 dog sitting at one of his customers homes if he made $168 on Tuesday right i
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Since we don't know how much Eric makes per dog, let's let <em>x </em>represent that value. Let's also let <em>y</em> represent our answer.

First, let's consider the two numbers we KNOW will be in the equation. The 56 that Eric made dog sitting and the 168 he made in total on Tuesday. Now, we're going to need to use subtraction and division in this equation.

(168 - 45) ÷ <em>x</em> = <em>y</em>


Hope this answer helped you out. :)

8 0
3 years ago
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