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
AfilCa [17]
3 years ago
12

|2x-8| + 3 = 5 two solutions

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

The two solutions are 5 and 3

Step-by-step explanation:

The equation of the absolute has two solutions because IxI = a means x = a and x = -a

Let us solve the question using this fact

∵ I2x - 8I + 3 = 5

→ Subtract 3 from both sides

∴ I2x - 8I + 3 - 5 = 5 - 3

∴ I2x - 8I = 2

By using the fact above

→ 1st solution

∵ 2x - 8 = 2

→ Add 8 to both sides

∴ 2x - 8 + 8 = 2 + 8

∴ 2x = 10

→ Divide both sides by 2 to find x

∴ x = 5

→ 2nd solution

∵ 2x - 8 = -2

→ Add 8 to both sides

∴ 2x - 8 + 8 = -2 + 8

∴ 2x = 6

→ Divide both sides by 2 to find x

∴ x = 3

∴ The two solutions are 5 and 3

You might be interested in
An 8-foot ladder is leaning against a wall. The top of the ladder is 5.5 feet from the ground.
Kobotan [32]

my guess would be c. but id wait for someone else to answer just to be sure

3 0
3 years ago
Here is a simple math question
serg [7]

Answer: range: 49-22=27

median: 40+41=81 81/2=40.5

mean: add up all the numbers=485 485/12=40.4

mode: 39, 40 and 46

4 0
3 years ago
Read 2 more answers
Please help find the percent of increase?!
alex41 [277]
Take how much was added, divide by how much you originally had. 100-80=20. 20/80= 25%
7 0
3 years ago
Simplify 1/8 - 1/9 x+3/4-2/3x
Afina-wow [57]

Answer:

7/8 - 7x/9

Step-by-step explanation:

;)

8 0
3 years ago
A store is selling all flip-flops at 20% off their original price. What is
AURORKA [14]

Answer:

if it sell 20 it sells30

Step-by-step explanation:

answer is 30%

5 0
3 years ago
Read 2 more answers
Other questions:
  • A special roulette​ wheel, which has an equal number of red and black​ spots, has come up red four times in a row. Assuming the
    9·1 answer
  • Which is equivalent to 80^1/4?
    11·1 answer
  • (5,1) {-1,5) (-5, 1) (1, -5) (5,3}}​
    10·1 answer
  • What is the sum of 4 8/10 and 1 1/2
    11·2 answers
  • Find the domain of y = 2x + 1
    7·1 answer
  • Make an estimate. Write a number sentence for you estimate 927 divided by 8
    13·1 answer
  • WHATS 2+2 URGENT SOLVE PLZ I HAVE BEEN WORKING ON IT FOR DAYS
    11·1 answer
  • Three ropes of length 2 m 84 cm, 4 m 26 cm and 7 m 10 cm are to be cut into small pieces of equal length. What is the greatest p
    12·2 answers
  • Weary of the low turnout in student elections, a college administration decides to choose an SRS of three students to form an ad
    10·1 answer
  • There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passenge
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!