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valentina_108 [34]
3 years ago
14

Edmundo used a number line to show the solution for the inequality |2x-6|<4 Which number line shows the solution? HURRY PLEAS

E

Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0
Break into 2 equatins to get x's:

2x-6<4 and 2x-6>-4

Solve for x in both:

2x-6<4
2x<10
x<5

2x-6>-4
2x>2
x>1

Graph both inequalities on the same number line:

<---0-----1-----2-----3-----4-----5-----6--->
DiKsa [7]3 years ago
4 0

we have

\left|2x-6\right|

Solve the inequality

First case

+(2x-6)

2x

2x

x

The solution of the first case is the interval---------> (-∞,5)

All real numbers less than 5

Second case

-(2x-6)

-2x

-2x

-x------->x>1

The solution of the second case is the interval---------> (1,∞)

All real numbers greater than 1

The solution of the inequality \left|2x-6\right|

(-∞,5) ∩ (1,∞)--------> (1,5)

Using a graphing tool

The answer in the attached figure

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Ronch [10]

Answer:h=f(X)-x-k

Step-by-step explanation:

F(x)=x+ h+k

h = F(x)-x -k

4 0
4 years ago
Which of the numbers given below is an irrational number ?
Temka [501]

Answer:

<h2>2.14367............. is a irrational number.</h2>
5 0
3 years ago
Given that x is a number there is not negative Kelvin conjectured that x(to the 2nd power) &gt; x+1
Sav [38]

The way this is written, you cannot use -1/2 or -2. Is that correct? Both of them are minus. So the only things you have going for you is 0 and 5

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25 > 6

==============

What about 0?

0^2 = 0   so

0 > 0 + 1 and the conjecture is false.


4 0
4 years ago
Read 2 more answers
Nardia plots points showing equivalent ratios on the coordinate plane below. Mc018-1. Jpg Which ordered pair would represent a r
timurjin [86]

The ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)

<h3>Ratio and proportions</h3>

From the given diagram, we can create two coordinate points which are (2, 3) and (4, 6)

We need to determine the ordered pair would represent a ratio that is equivalent.

Multiplying the coordinate by a scale factor of 4 will give

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Hence the ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)

Learn more on coordinate pair here: brainly.com/question/1528681

7 0
3 years ago
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Alexis divided a 5/12 pound bag of apples among her five friends. How many pounds of apples did each friend receive?
Goshia [24]

Answer: 1 /12 pounds each

Step-by-step explanation:

Alexis has a 5/12 pound bag of apples and 5 friends to divide them amongst.

The number of pounds each friend receives is the number of pounds Alexis has divided by the number of friends she has:

= 5/12 ÷ 5

= 5/12 * 1/5

= 5 / 60

Take the fraction to the lowest form by dividing by 5:

= 1 / 12

<em>Hint: When dividing a fraction by a number, you can instead multiply that fraction by the inverse of that number. </em>

3 0
3 years ago
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