Mathematics : asked on bri2371

05.04.2022

2 |3x-5| - 4 = 12

Solve for x
Show work

0

Step-by-step answer

09.07.2023, solved by verified expert

Mathematics, DAV Post Graduate College

6 899 answers

Unlock the full answer

Isolate the absolute-value term:

2 |3x - 5| - 4 = 12

2 |3x - 5| = 8

|3x - 5| = 4

Recall the definition of absolute value:

We consider two cases:

• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to

3x - 5 = 4

3x = 9

x = 3

• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence

-3x + 5 = 4

-3x = -1

x = 1/3

It is was helpful?

Helpful Useless

Faq

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

Step-by-step answer

P Answered by PhD

The solution is in the following image

The solution is in the following image

Mathematics

Use the X method to find the solutions of6x2 + 2x – 20 = 0.

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

the surface area of a box is 232 square inches. the box is 4 inches wide and 8 inches long. what is the hight?

Step-by-step answer

P Answered by PhD

The solution is given in the image below

The solution is given in the image below

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height. Round your answer to the nearest whole number.

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

free Ask question

Today we have helped

1 297 students

just now

Mathematics

Kiran's backpack weighs 3 pounds less than Claire's backpack.Claire's backpack weighs 14 pounds.how much does kiran's backpack weighs?select ALL that apply.
x +3=14
3×=14
×=14-3
×=14÷3

p Answered by PhD

just now

Mathematics

6.2 Simplify the following: -x(2x+5)

s Answered by Specialist

1 minute ago

Mathematics

A candy jar contains 9 chocolates, 14 gumballs, and 7 mints. What part of the candies are gumballs?

s Answered by Specialist

1 minute ago

Mathematics

If the radius of a pizza has a length of X + 5 units, what is the area of the
pizza? What is the value when x = 10
inches?

s Answered by Specialist

2 minutes ago

Mathematics

How to change 35/21 into its mixed fraction

m Answered by Master

Get help with homework

What is Studen

Studen helps you with homework in two ways:

Our base includes complete solutions from various experts

chat

Leave a question

Studen will automatically choose an expert for you.

directly

We have more than 5 000 verified experienced expert