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
Mila [183]
3 years ago
9

What is are the solutions to | x+4 |= 3x-5?

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

x = \frac{9}{2}

Step-by-step explanation:

The absolute value always returns a positive value but the expression inside can be positive or negative, that is

x + 4 = 3x - 5 ( subtract 3x from both sides )

- 2x + 4 = - 5 (subtract 4 from both sides )

- 2x = - 9 ( divide both sides by - 2 )

x = \frac{9}{2}

OR

-(x + 4) = 3x - 5

- x - 4 = 3x - 5 ( subtract 3x from both sides )

- 4x - 4 = - 5 ( add 4 to both sides )

- 4x = - 1 ( divide both sides by - 4 )

x = \frac{1}{4}

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions

| \frac{9}{2} + 4 | = | \frac{17}{2} | = \frac{17}{2}

right side = \frac{27}{2} - 5 = \frac{17}{2}

left side = right side , thus x = \frac{9}{2} is a solution

check second solution

| \frac{1}{4} + 4 | = |  \frac{17}{4} | = \frac{17}{4}

right side =   \frac{3}{4} - 5 = -   \frac{17}{4}

right side ≠ left sides, hence not a solution

You might be interested in
Which of the following rational functions is graphed below? ​
Shalnov [3]
You didn’t put your whole question so I can’t help sorry :(((((((((((
4 0
3 years ago
Let f(x)=2^(x) and g(x)=2^(x+3)
ss7ja [257]

Answer:

Step-by-step explanation:

8 0
2 years ago
Find the common ratio of the geometric sequence -7,-14,-28
Aneli [31]

Answer:

2

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

-14/-7 = 2

Check by dividing the third term by the second term

-28/-14 = 2

The common ratio is 2

7 0
3 years ago
Read 2 more answers
Malia has her $ 10.00 allowence to spend at the fall carnival. She decides to order two ice cream cones for herself and her sist
Ierofanga [76]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
One glass of milk provides 305mg of calcium. Maggie drinks one glass of milk every morning. How many grams of calcium does Maggi
Komok [63]
She drinks 4.27 grams on calcium in 14 days at one glass of milk containing 14 mg per day
8 0
3 years ago
Read 2 more answers
Other questions:
  • How many different combinations are there of the digits 46987?
    13·1 answer
  • Solve 3x2 + 12x = 3.
    10·2 answers
  • Solve −2x − 15 = 6x + 9.
    12·1 answer
  • Daniel invests $2,037 in a retirement account with a fixed annual interest rate of 6% compounded 6 times per year. What will the
    13·1 answer
  • A bag contains 7 red, 4 blue, and 6 white marbles.
    15·1 answer
  • What is the next term of the arithmetic sequence?<br> 2,-1,-4,-7,-10
    8·1 answer
  • True or False
    9·1 answer
  • Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France. Danielle's unc
    15·1 answer
  • What is h2? PLEASE HELP (I know h1 but I don't know how to find 2)
    9·2 answers
  • PLEASE HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!