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Nesterboy [21]
2 years ago
5

Solve the inequality |6x + 2| < 10 and graph its solution.

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

  (6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12        Divide both sides by 6.
     x > -12/6
     x > -2.

Combined solution:   x < 4/3  and x > -2

  -2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.  
 
-2 and 4/3 are excluded from solution.
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The rubber playground mulch is sold in packages that cover 300 square feet each. what expression represents the number of packag
tino4ka555 [31]

The expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x

<h3>How to determine the expression represents the number of packages of mulch that will be needed to cover both rounded ends?</h3>

The given parameters are:

Area covered = 300 square feet

Number of ends  = 2

So, the total surface area is:

Total surface area = Area covered * Number of ends  

This gives

Total surface area = 300 * 2

Total surface area = 600 square feet

Let the area covered by each package of mulch be x.

So, the number of mulch is

Number = Area covered/area covered by each

This gives

Number = 600/x

Hence, the expression represents the number of packages of mulch that will be needed to cover both rounded ends is 600/x

Read more about areas at:

brainly.com/question/25292087

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6 0
1 year ago
Mrs.gauthier plans to take her class on 2 field trips this year there are 23 students in her class and each field trip will cost
Alina [70]

If there is 2 field trips with 23 students and each student costs $5 dollars. So for the 1st trip it will be 23x$5

1st trip- $115

And on the second trip its the same because there is 23 students that cost 5 dollars so it will be 23x5

2nd trip- $115

To find out the total of both trips youd add 115+115/

In total, for both trips it will cost $230 dollars.

7 0
3 years ago
ANSWER QUICKLY! I GIVE BRAINLIEST!!
julsineya [31]

Answer:

(10,27)

Step-by-step explanation:

Hope this helps!!! :)

8 0
2 years ago
What property 8 + 43 = 43 + 8
zysi [14]

Answer:

commutative property

Step-by-step explanation:

It's basically just changing the order of the equation.

3 0
2 years ago
What is the value of x?
enyata [817]
6x + 1 = 2x + 10 + 79
6x + 1 = 2x + 89
4x = 88
  x = 22
7 0
3 years ago
Read 2 more answers
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