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
elena55 [62]
3 years ago
12

How many solutions does the following equations have |6x+12|= 12 |6x+12|= -1 |6x+12|= 0 show steps to sloving. How do you know t

he number or solutions?
Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

|6x+12|= 12 has <u>2</u> solutions --> <u>x = -4 or x = 0</u>

|6x+12|= -1 has <u>No</u> solutions

∣6x+12∣=0 has <u>1</u> solution --> <u>x = -2</u>

<u>Explanation:</u>

<u>|6x+12|= 12</u>

<em>- Break |6x+12| = 12 down into two equations -</em>

                                ↓

                       6x + 12 = 12

                       6x + 12 = −12

<em>           - Solve both equations to x -</em>

                       6x + 12 = 12

                       6x + 12 = −12

                                ↓

                            6x = 0

                           6x = −24

                                ↓

                             <u>x = 0</u>

                             <u>x = −4</u>

<u></u>

<u>|6x+12|= -1</u>

The absolute value function is always positive or 0 so false.

<u></u>

<u>∣6x+12∣=0</u>

<em>- Because its 0, we simply just solve the equation -</em>

<em>                              </em> 6x + 12 = 0

                                     ↓

                                6x = -12

                                     ↓

                                  <u>x = -2</u>

<u></u>

<em>~That's All Folks~</em>

<em>-Siascon</em>

You might be interested in
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?
Ad libitum [116K]

Answer:

14.5

Step-by-step explanation:

10 + (2 x 3)2 ÷ 4 × (3 x 1/2)

10 + (6)2 / 4 * (1.5)

10 + 12 / 4 * 1.5

10 + 3 * 1.5

10 + 4.5

14.5

3 0
3 years ago
Read 2 more answers
HELP I NEED HELP ASAP
levacccp [35]

Answer:

I think it's A

Step-by-step explanation:

the line is going up and the more it goes up it looks like it will be 2.5

7 0
3 years ago
18. Use the distributive property to write an equivalent expression to: -(2x + 3y)
nalin [4]

Answer:

.

Step-by-step explanation:

-(2x + 3y)

= -2x - 3y

............

4 0
3 years ago
PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
SpyIntel [72]

Answer:

Um.... quick question what are the problems because the file don't work!

Step-by-step explanation:

4 0
3 years ago
Help please step for step​
Alex73 [517]

Answer:

Step-by-step explanation:

you want take the distributive each one divide and multply

5 0
3 years ago
Other questions:
  • I foot = 12 incht how many inch 5 1/2 feet
    7·2 answers
  • A plane is flying at 31,348 feet. It needs to rise to 37,000 feet in two stages. In stage 1, it rises 5% of its
    11·2 answers
  • Please help and thank you
    12·1 answer
  • A
    6·1 answer
  • There are 32 players on the football team in total. If 75% of the students are in seventh grade, how many seventh graders are on
    9·1 answer
  • Find the missing side.
    6·1 answer
  • Aubree has a points card for a movie theater.
    14·2 answers
  • Diego measured the number of cups of water in 15 bottles of various sizes. He made this line plot to show how many of each size
    14·2 answers
  • A line with a slope of 1 passes through the point (7, 9). What is its equation in
    9·1 answer
  • The records of four baseball teams are shown below. Which team had the greatest percent of wins?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!