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
sergey [27]
4 years ago
14

-23 +4 |x+10| < 37 I need help solving please can you also explain how to do it, thanks.​

Mathematics
1 answer:
natka813 [3]4 years ago
6 0

Answer: - 25 < x < 5

Step-by-step explanation:The first thing is to Add 23 to both sides

The equation becomes

4 / x + 10 / < 37 + 23

4/x +10 / < 60

Divide through by 4

/ x +10/ < 15

to remove the modulus sign we have

-15< x + 10 < 15

we then solve one by one

firstly , - 15 < x + 10

 subtract 10 from both sides

⇒ - 15 - 10 < x

     -25 < x

solving the second part

x + 10 < 15

  x < 15 - 10

  x < 5

combining the two answers

-25 < x < x

You might be interested in
The Petersons went on a 300-mile
Alisiya [41]
It is 300+35+21=356.
8 0
3 years ago
Read 2 more answers
If you multiply 0.86 by 7.36, how many decimal places will be in the product?
AURORKA [14]

Answer:

4

Step-by-step explanation:

There are 4 numbers to the right of decimals in question.

Pls mark Brainiest :)

6 0
3 years ago
Read 2 more answers
a rectangle is 4 centimeters longer than it is wide. the area is 117 square centimeters. find the dimensions of the rectangle
vekshin1

Answer:

  • width: 9 cm
  • length: 13 cm

Step-by-step explanation:

Integer factors of 117 include ...

... 117 = 1×117 = 3×39 ≈ 9×13

The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.

_____

If you want to write an equation for width (w), it might be ...

... w(w+4) = 117

... w² +4w -117 = 0

The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.

If you want to solve this by completing the square, you can to this:

... w² +4w = 117

... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square

... (w+2)² = 121

... w + 2 = ±√121 = ±11 . . . . take the square root

... w = -2 ± 11 . . . . . we're only interested in the positive solution

... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.

7 0
3 years ago
Simplify:<br>1. 1708 - (-2351) + (3477 (4051)]<br>COL<br>170923<br>(81)<br>2.​
Over [174]

Answer:

14089386

Step-by-step explanation:

4 0
3 years ago
I have no idea anyone have any idea
Viefleur [7K]

Answer:

(-4,0) or (7,0)

Step-by-step explanation:

If it crosses, the x-axis, y-value would be 0.

=> x² - 3x - 28 = 0

=> x² - 7x + 4x - 28 = 0

=> x(x - 7) + 4(x - 7)

=> x = -4 or 7

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the product?
    15·1 answer
  • Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.
    15·2 answers
  • thomas saved $32. he got $15 more for his birthday.he spent $10 at the movies and new shoes that were $27 how much money does th
    13·2 answers
  • who this number in least to greatest on number line 0.4 space 1.2 space 2.5 Space 3 space 1.7put this number in least to greates
    10·1 answer
  • Use the information given in the diagram of GHI to find the missing measurements. Round all answers to the nearest tenth.
    5·2 answers
  • Is the function y= sin(x)/x even, odd or neither
    8·2 answers
  • Solve this Order of operations using integers <br> 6×3−(−9)+(7)2
    7·1 answer
  • The last parttttttttt
    14·2 answers
  • How long will it take for an investment of $1000 to double in value if the interest rate is 8.5% per year, compounded continuous
    7·1 answer
  • Explain the multiplication rule for independent events
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!