1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex777 [14]
1 year ago
13

Solve the following equation: 2|3x - 2| -4 = 16

Mathematics
2 answers:
bulgar [2K]1 year ago
8 0

Answer:

x=6 and -14/3

Step-by-step explanation:

Divide 2:

|3x - 2|-4 = 16

Plus 4: |3x - 2| = 16

So 3x - 2=16 and -3x + 2=16

3x - 2=16: x=6

-3x + 2=16: x=-14/3

umka21 [38]1 year ago
7 0

Hi there,

I hope you and your family are staying safe and healthy!

Let's solve the equation

2|3x -2| -4 = 16

The first step here is to add 4 on both sides

2(|3x-2|)-4+4=16+4\\=2(|3x-2|)=20

We're not done yet! So now we need to divide both sides by 2

\frac{2(|3x-2|)}{2} = \frac{20}{2}

=|3x-2|=10

Now we need to solve for the absolute value

We know either 3x - 2 = 10 or 3x-2=-10

Therefore, there are two possibilities here.

<h2>Possibility 1</h2>

3x - 2 = 10 \\3x = 10 + 2\\3x = 12\\x = 12/3\\x = 4

<h2>Possibility 2</h2>

3x - 2 = -10\\3x = -10 + 2 \\3x = -8\\x = -8/3\\

Thus,

The answer is: x = 4 or x = \frac{-8}{3}

Happy to help! I wish you all the best this semester :)

-Garebear

You might be interested in
If two angles of a triangle are complementary, then the triangle must be
Angelina_Jolie [31]
That would be a right-angled triangle.
6 0
3 years ago
Simplify 25p^6q^9 / 45p^8q^4. write answer using a positive exponent
sleet_krkn [62]

The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;

  • Division is 5p^6 q^9 / 9p^8 q^4
  • Elevated form is  5/9 p^-2 q^5

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.

They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc

We also know that index forms are also know as standard forms.

They are mathematical expressions showing the power of exponent of a variable in terms of another variable.

Given the index algebraic forms;

25p^6q^9 / 45p^8q^4

Using the rule of indices, we take the negative exponent of the divisor and multiply through.

We have;

5p^6 q^9 × 9p^-8 q^-4

Add exponential values

5/9 p^6-8 q^9 -4

5/9 p^-2 q^5

Thus, the expression is simplified to 5/9 p^-2 q^5

Learn more about index forms here:

brainly.com/question/15361818

#SPJ1

5 0
1 year ago
please help!!! ive been trying this question for the pass 20 minutes and cant seem to understand it!!
Lesechka [4]

Answer:

D

Step-by-step explanation:

Beacuse ‍♀️

5 0
3 years ago
Read 2 more answers
The Poe family bought a house for $240,000. If the value of the house increases at a rate of 4% per year, about how much will th
Eddi Din [679]

Answer:

  about $525,900

Step-by-step explanation:

Each year, the value is multiplied by (1 +4%) = 1.04. After 20 years, it will have been multiplied by that value 20 times. That multiplier is 1.04^20 ≈ 2.19112314.

The value of the house in 20 years will be about ...

  $240,000×2.19112314 ≈ $525,900 . . . . . rounded to hundreds

3 0
3 years ago
Read 2 more answers
Please help me!!!!!””
Advocard [28]

Answer:

d=45t

Step-by-step explanation:

to find speed you divide the distance by the time. 67.5/1 1/2 = 45

3 0
3 years ago
Read 2 more answers
Other questions:
  • Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged i
    15·1 answer
  • How to find a matrix that transform a column matrix from linear to circular quantum mechanic?
    15·1 answer
  • What are all the common factors for 24 64 88
    15·2 answers
  • I need help with # 14 and 15 ASAP... It is due tomorrow ..can some one please help me with it
    10·1 answer
  • Shelby made 5quarts of juice. she said that she made 1 1\4of juice.expkain her mistake
    10·1 answer
  • If 11x - 7= 2, then x=
    13·1 answer
  • Find the product of z1 and z2, where z1 = 2(cos 70° + i sin 70°) and z2 = 4(cos 200° + i sin 200°)
    13·2 answers
  • HURRY PLEASE!!
    7·1 answer
  • A cone and its dimensions are shown in the diagram above.
    5·1 answer
  • 6.<br> Chapter 6 Quiz 2<br> (Lessons 6-3 and 6-4)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!