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
galben [10]
3 years ago
9

Which of the following equations have infinitely many solutions?

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

The  following equations have infinitely many solutions:

6(2x + 4) = 3(4x + 8) ⇒ I

0.5(8x + 4) = 4x + 2 ⇒ II

2(6x + 4) = 4(3x + 2) ⇒ V

The answer is l, ll, and V ⇒ A

Step-by-step explanation:

The equation has infinitely many solutions if:

  • The variable is disappeared
  • Then the numerical terms are equal

I.

∵ 6(2x + 4) = 3(4x + 8)

- Simplify the two sides

∵ 6(2x + 4) = 6(2x) + 6(4) = 12x + 24

∵ 3(4x + 8) = 3(4x) + 3(8) = 12x + 24

∴ 12x + 24 = 12x + 24

- Subtract 12x from both sides

∴ 24 = 24

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

II.

∵ 0.5(8x + 4) = 4x + 2

- Simplify the left hand side

∵ 0.5(8x + 4) = 0.5(8x) + 0.5(4) = 4x + 2

∵ The right hand side is 4x + 2

∴ 4x + 2 = 4x + 2

- Subtract 4x from both sides

∴ 2 = 2

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

III.

∵ 7x + 8 = 7(x + 8)

- Simplify the right hand side

∵ 7(x + 8) = 7(x) + 7(8) = 7x + 56

∴ 7x + 8 = 7x + 56

- Subtract 7x from both sides

∴ 8 = 56 ⇒ it can not be

∴ L.H.S ≠ R.H.S

∴ The equation has no solution

IV.

∵ 3x + 4 = 7x - 2

- Subtract 3x from both sides

∴ 4 = 4x - 2

- Add 2 to both sides

∴ 6 = 4x

- Divide both sides by 4

∴ 1.5 = x

∴ The equation has one solution

V.

∵ 2(6x + 4) = 4(3x + 2)

- Simplify the both sides

∵ 2(6x + 4) = 2(6x) + 2(4) = 12x + 8

∵ 4(3x + 2) = 4(3x) + 4(2) = 12x + 8

∴ 12x + 8 = 12x + 8

- Subtract 12x from both sides

∴ 8 = 8

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

The  following equations have infinitely many solutions:

6(2x + 4) = 3(4x + 8) ⇒ I

0.5(8x + 4) = 4x + 2 ⇒ II

2(6x + 4) = 4(3x + 2) ⇒ V

Learn more:

You can learn more about the solutions of the linear equations in

brainly.com/question/6075514

#LearnwithBrainly

You might be interested in
Can someone help me get this geometry homework done ill pay you however much for it i just need help
lozanna [386]

Answer: Then where is your work I don’t see any work for me to help you with???

-Ok look at the picture I’m on my iPad if you don’t understand what m trying to say look at the picture

Step-by-step explanation:

6 0
3 years ago
Greg has a bag that contains 25 colored tiles. Of all the tiles in this​ bag, 10 are blue. Suppose another bag contains 250 colo
Sergio [31]

Answer:

he is less likely to pick a blue tile in the second bag

Step-by-step explanation:

divide 10 by 25 which will give you 40%

divide 75 by 250 which will give you 30%

this makes it less likely for Greg to pick blue from the second bag, as the first bag has a higher percentage chance

6 0
3 years ago
A tennis ball has a diameter of 2.7 inches. What is the approximate volume of the tennis ball
jonny [76]

Answer:

volume = 10.2 in³

Step-by-step explanation:

r = 2.7/2 = 1.35

volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³

4 0
2 years ago
Which graph shows the correct solution to the inequality below?
Assoli18 [71]

Answer:

Third Option

Step-by-step explanation:

3x + 18 > 6x - 9

We have to find the value of x for this

Subtract 18 from both sides to leave 3x alone

3x > 6x - 27

Subtract 6x from both sides to be able to find the value of x

-3x > -27

Divide by -3 on both sides

x > 9

The answer would be the third option, since X is anything greater than 9

6 0
3 years ago
Read 2 more answers
Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32°F in Maine during
Marianna [84]

Answer:

the probability is 100

this is the most suitable ans

4 0
2 years ago
Other questions:
  • Using the quadratic equation x2-3x+2=0 perform the following tasks:
    11·1 answer
  • The total number of golfers, g, each day at a golf course is proportional to the number of tee times, t. If four golfers are sch
    6·2 answers
  • What is the 4th term in the sequence b(n)=1(-2)^n-1
    8·1 answer
  • Sociologists want to determine the probability of exactly 4 out of the next 7 individuals they survey earning over
    6·1 answer
  • The midpoint of AB is M(-3, -3). If the coordinates of A are (-5, -1), what are
    5·2 answers
  • Please help me find the circumference and area ​
    12·2 answers
  • What is the ratio of the surface areas of two cones if the radius of one is 3 en and the slant height is 7 cm, and the other has
    9·1 answer
  • The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
    8·1 answer
  • HELP PLS!!!!!!!!!!!!!!!
    8·1 answer
  • If a die is rolled one time, find the probability of getting a six. <br> P(6) = ?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!