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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

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5 0
3 years ago
What is the value of 3(y + 4) – (x – 1) when x = 3 and y = 2
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Answer:

16

Step-by-step explanation:

First, substitute the values of the variables into the expression:

3(y + 4) - (x - 1)

3(2 + 4) - (3 - 1)

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3(6) - 2

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Finally, simplify:

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7 0
3 years ago
Which inequality will have a solid boundary line and a shaded region above its graph? x − y ≥ 3 2x − 3y ≤ 3 3y − x < 2 2x + y
LenKa [72]
<span>x − y ≥ 3   ... > stands for above on a graph, and the line under it _ stands for shaded.</span>
7 0
3 years ago
A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3
adelina 88 [10]

Answer:

a)  <em>"K" is proportional Constant   K= 0.0833</em>

<em>b)     The value of b = 99.639</em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given   'a' is directly proportional to 'b'

                     a ∝ b

                <em>  a  =  k b ....(i)</em>

<em>where "K" is proportional Constant</em>

<u><em>Case(i)</em></u><em>:-</em>

<em>when a =6  and b=72</em>

<em>               a  =  k b     </em>

<em>          ⇒ 6 = k (72)</em>

<em>        ⇒  </em>K = \frac{6}{72} = \frac{1}{12} = 0.0833<em>      </em>

<u><em>Case(ii)</em></u><em>:-      </em>

<em> Given  a = 8.3  </em>

<em>           a  =  k b     </em>

<em>⇒   8.3 = 0.0833 ×b</em>

<em>⇒  </em>b = \frac{8.3}{0.0833} = 99.639<em></em>

<u><em>Final answer</em></u><em>:-</em>

a)<em>"K" is proportional Constant   K= 0.0833</em>

<em>b)     The value of b = 99.639</em>

<em></em>

<em></em>

<em></em>

<em></em>

6 0
3 years ago
I need help with linear regression ​
frutty [35]

Answer:

<em>In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). The case of one explanatory variable is called simple linear regression. For more than one explanatory variable, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.</em>

6 0
3 years ago
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