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
Makovka662 [10]
3 years ago
9

– 5 | 3 z + 8| –5 = -20​

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0

I'm assuming you want to solve for  z  :)

By simplifying both sides of the equation, then isolating the variable.

Exact form:

z= -5/3 , - 11/3

Mixed number form:

z=  −1  2/3  ,  −3  2/3

mamaluj [8]3 years ago
3 0

Answer:

There are two solutions, -5/3 and -11/3

Step-by-step explanation:

Move -5 to the right side and add:

-5 | 3x + 8 | = -15

Get rid of the absolute-value bars by splitting them into negative and positive cases.

Solve negative case

-5 ( 3z + 8 ) = -15

Distribute or Multiply:

-15z - 40 = -15

Rearrange and Add:

-15z = 55

Divide both sides by 15:

-z= 11/3

Multiply both sides by -1:

z= -11/3

Solve negative case

5 ( 3z + 8 ) = -15

Distribute or Multiply:

15z + 40 = 15

Rearrange and Add:

15z = -25

Divide both sides by 15:

z = -(5/3)

Answer

z=-11/3

z=-5/3

You might be interested in
The equation y=6.72(1.014) x models the world population y , in billions of people, x years after the year 2000 . Find the year
Marizza181 [45]

the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

<h3>What is Logarithm?</h3>
  • The opposite of exponentiation is the logarithm.
  • This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
  • A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given:

  • y = 6.72 ( 1.014^x), where
  1. y = population in billions
  2. x = time in years

To find: Year when population is 8 billion, i.e., y = 8.

Finding:

8 = 6.72  ( 1.014^x)

=> \frac{8}{6.72}= ( 1.014^x)

Taking log on both sides

=> log(\frac{8}{6.72})= log( 1.014^x)

=> log(1.19) = x (log 1.014) (as log_b(a)^m = m (log_b(a)) )

=> \frac{log(1.19)}{log (1.014)} = x

=> x = \frac{0.0755}{0.006}

=> x = 12.58

Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

5 0
1 year ago
Please help me on my test it’s urgent. It will mean a lot to me
Ierofanga [76]

Answer:

I honestly don't know and I need help too

4 0
3 years ago
A wall is 20 inches thick. 6 inches is​ concrete, 9 inches is​ brick, and 5 inches is limestone. What fraction of the wall is​ c
Citrus2011 [14]

Answer:

30%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If X=20°, Y=135°, what will Z be
Veronika [31]

The value of Z would be 225°

<h3>What is the angle at a point?</h3>

The angle at a point are angles that add up to 360°

Thus, X + Y + Z = 360°

X = 20°

Y = 135°

Then, Z = 360° - X - Y

Z = 360° - 20° + 135°

Z = 360° - 155°

Z = 205°

Therefore, the value of Z is 205°

Learn more about angle at a point here:

brainly.com/question/24839702

#SPJ1

6 0
2 years ago
I need help!!! please help me out as quick as possible
kvv77 [185]

Answer:

D

Step-by-step explanation:

Given

a_{n} = 4^{n-1}, then

a_{10} = 4^{(10-1)} = 4^{9} = 262144 → D

8 0
4 years ago
Other questions:
  • I don’t understand how to do this, someone please help :) <br><br> Solve for y
    11·1 answer
  • Irrational Numbers. Am I correct?
    15·2 answers
  • An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $5990 and her st
    13·1 answer
  • Choose the best definition for the term: factor (1 point)
    11·1 answer
  • some kids like to ride their bikes to and from school let d be the distance in miles from a kid home to school write 2 expressio
    5·1 answer
  • The cost of admission to a history museum is $3.25 per person over the age of 3 kids 3 and under
    7·2 answers
  • Determine whether the triangles are similar. If there is sufficient information to determine that the triangles are similar, wri
    10·1 answer
  • Find the value of n so that the line perpendicular to y=−15x − 6 passes through the points (n, −12) and (4, 8) .
    12·1 answer
  • (6x+15)<br> 33°<br> NEED HELP ASAP
    6·1 answer
  • Troy and two of his friends help troy's dad do yard work. After his dad paid $35 for gas, the boys made 128. How much did each c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!