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Travka [436]
4 years ago
12

Solve for X, please show work!

Mathematics
2 answers:
vesna_86 [32]4 years ago
7 0

Answer:

x < -2 or x > 10/3

Step-by-step explanation:

3x - 2 > 8

3x > 10

x > 10/3

-3x + 2 > 8

-3x > 6

x < -2

x < -2 or x > 10/3

Molodets [167]4 years ago
5 0

Answer:

the solution set consists of {x < -2 ∪ x > 10/3}

Step-by-step explanation:

|3x - 2| > 8 is equivalent to the following set of inequalities:

1) 3x - 2 > 8

and

2) -(3x - 2) > 8

In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.

In case 2, above, carry out the indicated multiplication first:

-3x + 2 > 8.  Next, subtract 2 from both sides:  -3x > 6.

Next, divide both sides by -3, remembering to reverse the direction of the inequality sign:  x < -2.

Thus, the solution set consists of {x < -2 ∪ x > 10/3}

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Mamont248 [21]

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4 years ago
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love history [14]

Answer:

x = -10

x = 5

Step-by-step explanation:

{x}^{2}  + 5x - 50 = 0 \\ (x + 10)(x - 5) = 0 \\  \\ x =  - 10 \\ x = 5

8 0
3 years ago
Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $21
rodikova [14]

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

6 0
3 years ago
Help with 9 and 10 please?
JulsSmile [24]
9. Let x equal the number

Two less than a number is

x - 2

Is more than 15 is

> 15

Put them together for

x-2 > 15

Now solve

x-2 > 15
x > 17

10. Let x equal a number

Seven more than a number is

x+ 7

Is less than or equal to 27 is

<= 27

Put them together for

x + 7 <= 27

Now solve

x+ 7 <= 27
x <= 20
3 0
3 years ago
Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose?
butalik [34]
Assuming this Fence enclosment will be in the shape of a rectangle we will use the equation used to find the area of a rectangle, b×h=a

Using this formula we then must pick out factors used to create, in which the perimeter will add up to 20

·5,5,5,5 (25)
·8,2,8,2 (16)
·6,4,6,4 (24)


using this we can learn<span> that the maximum area that can be exclosed by this is 25, because the 2 perimiter lengths that define this rectangle would be 5 and 5.

</span>b(5)×h(5)=25(a)

therefore, your answer is 25 Units

-I hope this is the answer you are looking for feel free to post your questions here on brainly in the future
3 0
3 years ago
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