2|3x - 2|= 14 how would you solve this absolute value equation?

Answers

Answer 1

Answer: 2. |3x-2|= 14

|3x-2|=2.7/2

|3x-2|=7

x∈ {3,-5/3

Step-by-step explanation: \frac{5}{3}

Answer 2

Answer:

x = 3x = - 5/3

Step-by-step explanation:

2|3x - 2|= 14|3x - 2|= 7

1) 3x - 2 ≥ 0 ⇒ 3x ≥ 2 ⇒ x ≥ 2/3

3x - 2 = 73x = 9x = 3  is valid root as 3 ≥ 2/3

2) 3x - 2 < 0 ⇒ 3x < 2 ⇒ x < 2/3

- (3x - 2) = 73x - 2 = -73x = -5x = -5/3  is valid root as -5/3 < 2/3

Related Questions

Which problem can be represented by the equation 12z + 2 = 98?

Each train car holds 12 tons of ore. A production facility currently has 98 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Each train car holds 12 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 98 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Each train car holds 98 tons of ore. A production facility currently has 12 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Each train car holds 98 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 12 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Answers

Answer:

Its A i took the test while looking at this but no one awnsers so i took a leap and got the right answer here ya go buddy sorry if its not the same anwser for you

Step-by-step explanation:  

Answer:

B

Step-by-step explanation:

What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .

Answers

Answer: Since the second differences are constant, there is a quadratic relationship between and .

Step-by-step explanation:

Help how do i do these

Answers

Answer:

Step-by-step explanation: What I would do is make the triangle into a square and what ever is mirroring it i would put that for my answer and then I would round it. I used to do this i don't exactly remember. Sorry if this doesn't help.

Find the sum of the first twenty
terms of the arithmetic progression loga + loga² + loga^3​

Answers

Answer:

I hope it will help you :)

f(x) = 4x – 10
g(x) = -8x2 + 6x – 10
Find: f(x) · g(x)

Answers

Answer: f(x) · g(x)=-32x³+104x²-100x+100

Step-by-step explanation:

Since we are given f(x) and g(x), all we have to do is multiply them together.

f(x) · g(x)=(4x-10)(-8x²+6x-10)                              [distribute by FOIL]

f(x) · g(x)=-32x³+24x²-40x+80x²-60x+100         [combine like terms]

f(x) · g(x)=-32x³+104x²-100x+100

Now, we have multiplied them together, we have f(x) · g(x)=-32x³+104x²-100x+100.

NEED IT ASAP
what’s is the quotient
2 1/5
———
-1/10

Answers

Answer:

2 1/5 ---- 1/10 = 21

10

= 21

10

= 2.1

Step-by-step explanation:

what is b ? -14 - 5b + 2b = -2 - 2(1 - b)

Answers

Answer: B = -2

Step-by-step explanation:

-14 - 5b + 2b = -2 - 2(1 - b)

-14 -3b = -2 -2 + 2b

-14 - 3b = -4 + 2b

-10 = 5b

b = -2

I'm bad at explaining

Answer:

b = -2

have fun

round 9.69 to the nearest whole number

Answers

I think the answer is 10 because you can go down and you can’t get any higher than that

Rounding 9.69 to the nearest whole number gives us 10.

Given that we need to round the decimal number 9.69 to the nearest whole number,

To round 9.69 to the nearest whole number, we look at the decimal part of the number, which is 0.69.

Since the decimal part is greater than or equal to 0.5, we round the whole number up to the next higher number. In this case, 9.69 is closer to 10 than to 9, so we round it up to 10.

Therefore, rounding 9.69 to the nearest whole number gives us 10.

Learn more about Rounding Numbers click;

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"the product of a number and 4"

Answers

Answer:

X * 4

Product means the answer after multiplying the factors.

Lynn and Max are divers. Lynn's depth gauge says she is 43.6 feet deep. Max's depth gauge says that he is 54.2 feet deep. Who is closer to the surface? Write two statements of inequality to describe the situation.​

Answers

Answer: Lynn is closer to the surface.

Step-by-step explanation:

Lynn is 43.6 deep meaning -46.3. Max is 54.2 feet meaning that he is -54.2 feet below sea level. so the smaller the number the close it is to 0 (which in this case is the surface) hope this helped

what is the gradient of the line 3x+y=4

Answers

Answer:

The slope is - 3

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

The equation is 3x+y = 4

To find the slope of the line we must first write the equation in the general form above

Make y the subject

That's

y = - 3x + 4

Comparing with the general equation above

Slope of the line = - 3

Hope this helps you

3x + 2(4x - 4) = 3



HELPPPPPPPP!!!!!!!

Answers

Answer:

x=1

Step-by-step explanation:

Use the distributive property on 2(4x - 4), which makes the equation 3x+8x-8=3

Simplify, which makes the equation 11x-8=3

Add 8 to both sides, which makes the equation 11x=11

Divide both sides by 11, which makes the equation x=1

Which ones apply?
Answers please

Answers

Options 1 and 3 are the correct answers

what is 966×54278 what is the answer

Answers

52,432,548 and mark me as branliest it would help a lot :)
52432548 is answer sks

2 5 x y + =
Solve for Y
Please hellppppppppp

Answers

I do not think all of the question is there.

25 X y = / y would have to

Use the FOIL method to find the product below.
(x + 5)(x2 – 3x)
A. x3 + 2x2 - 15
B. x3+ 5x2 - 15x
C. x3+ 2x2 - 15x
D. x3 + 5x2 - 15

Answers

Answer:

work is pictured and shown

Please help !!!!!!Asap!!

Answers

Answer: x=7, EF=12, FG=15

Step by Step:
(4x-16) + (3x-6) = 7x-22
7x-22=27
7x=27+22
7x=49
x=7

4(7)-16= 12
3(7)-6=15

El M.C.M de: 60; 80 y 90

Answers

Step-by-step explanation:

wrong question.........??????

Answer:

what ?

Step-by-step explanation:

What is the positive square root of 81?

Answers

Answer:

the positive square root of 81 is 9

Step-by-step explanation:

9 times itself equals 81

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A. 4×1+9×110+2×1100
B. 4×1+9×110+2×11,000
C. 4×10+9×110+2×1100
D. 4×10+9×1100+2×11,000

Answers

Answer:

(4* 1) + (9 * 1/10) + (2 * 1/1000)

Step-by-step explanation:

Given the figure : 4.902

Writw the figure above in expanded form:

4.902

Using the place value indicators :

Unit___tenth___hundredth___thousandth

4______9_______0___________2

Unit:

4 × 1

After the decimal point :

Tenth :

9 × 1/10 =

Hundredth :

0 * 1/ 100

Thousandth:

2 * 1/1000

Hence :

(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)

Answer:   B

Step-by-step explanation:

4x1+9x1/10+2x1/1000

Solve for x: 3x−7=7x+13

Answers

Answer:

x=-5

Step-by-step explanation:

[tex]3x-7=7x+13\\\\3x-7+7=7x+13+7\\\\3x=7x+20\\\\3x-7x=7x+20-7x\\\\-4x=20\\\\\frac{-1}{4}(-4x) =\frac{-1}{4}(20)\\\\x=-5[/tex]

Question 23) Triangle PQR Triangle XYZ
PQ = 3a + 4 and XY = 5a - 12. Find a and PQ.

Answers

a=8 and PQ=28.

the way I solved the problem is attached. hope this helped.

The value of 'a' will be 8.

And, The value of side PQ will be 28 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle PQR ≅ Triangle XYZ

Now,

Since, Triangle PQR ≅ Triangle XYZ

So, we get;

Measure of PQ = Measure of XY

Substitute the given values of sides, we get;

Measure of PQ = Measure of XY

⇒ 3a + 4 = 5a - 12

Solve for a as;

⇒ 3a + 4 = 5a - 12

⇒ 3a - 5a = - 12 - 4

⇒ - 2a = - 16

⇒ 2a = 16

⇒ a = 8

Hence, Measure of PQ = 3a + 4

                                    = 3 × 8 + 4

                                    = 24 + 4

                                    = 28

Thus, The value of 'a' will be 8.

And, The value of side PQ will be 28 units.

Learn more about the triangle visit:

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There is a rectangular pool and small border. The pool and boarder measures x+3 by x-2. The pool alone measures x+2 by x+1. what is the area of the boarder

Answers

Answer:

  -2x -8

Step-by-step explanation:

The border area will be the difference between pool+border and pool. The area of each rectangle is the product of its dimensions.

  (x+3)(x-2) -(x+2)(x+1) = (x^2 +x -6) -(x^2 +3x +2)

  = x^2(1 -1) +x(1 -3) +(-6 -2)

  = -2x -8 . . . area of border

While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Kyla needs to work ________ hours to earn $52.25.

Answers

Answer:

12/312

Step-by-step explanation:

I did this quiz.

please help i need this answear asap

Answers

Answer:

19/15

Step-by-step explanation:

1 2/3=5/3

So 5/3 - 2/5 ( + - is -)

Making the denominator equal we get

(25-6)/15=19/15

what is the value of -2|6x -y| when x-3 and y =4

Answers

So, we have been given the following

[tex]-2(6x -y)[/tex]

But, we have also been given heads up that [tex]x=-3[/tex], and [tex]y=4[/tex].

So, that would mean the new equation would be the following.

[tex]-2(6-3 -4)[/tex]

After we solve it our answer should be [tex]2[/tex]!

If this helps then please mark me brainliest!

Answer:

-44

Step-by-step explanation:

Given:

-2|6x -y|x = -3y = 4

Solution:

-2|6*(-3) - 4| =-2|-22| =

Absolute value is always positive, therefore |-22| = 22

-2*22 =-44

Reginald has to put fertilizer on his yard. The bags of fertilizer cost $4.79 and cover 3500 square feet. Reginald's yard is a rectangle that measures 427 ft by 231 ft. How much will he spend on fertilizer?​

Answers

He'll spend 138.91 dollars.

First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.

A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the average change in water volume each day?

Answers

Answer:-0.125

Step-by-step explanation:

The average change in water volume is -0.125 liter per day.

Chase bought 5 chicken wings for $9.50. If Chase spent $26.60, how many chicken wings did he buy?

Answers

Answer:

14?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4. Order the set of numbers from least to greatest: (4 points)
5
6
-5,
5.-26
31
6
O
31
6
.- 26, -5,
-5. -
6
O 5
6'
31 -126
-5,
6
O -126
31
5
6
O 5
6'
-5, -√26,
31
6

Answers

Answer:

Sorry to waist your time but no one would know this not even the person who made the question.

Step-by-step explanation:

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