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nadezda [96]
3 years ago
13

How would you solve 4(y – 3y) – 19 = 32

Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

<u>y = - 6.375</u>

Step-by-step explanation:

Step 1:

4 ( y - 3y ) - 19 = 32        Equation

Step 2:

4y - 12y - 19 = 32         Multiply

Step 3:

- 8y - 19 = 32         Combine Like Terms

Step 4:

- 8y = 51        Add 19 on both sides

Step 5:

y = 51 ÷ - 8         Divide

Answer:

<u>y = - 6.375</u>

Hope This Helps :)

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<h3>How to determine the probability?</h3>

From the table, we have the following values

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The correct answer is:  [D]:  " 4x² − 12x − 4 " .
___________________________________________________
Explanation: 
___________________________________________________
Given:
___________________________________________________
    "  (16x²  − 16)  +  ( -12x² − 12x + 12) " ;    Simplify.
___________________________________________________
Note the "distributive property of multiplication:
___________________________________________________
  a(b + c)  =  ab +  ac ; 

  a(b − c)  =  ab − ac .
___________________________________________________
So we can rewrite the expression as:

  "  (16x²  − 16)  +  1( -12x² − 12x + 12) "  ; 

{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.

Let us examine the following part of the expression:
_________________________________________________
    "  + 1 ( -12x² − 12x + 12 ) " ;

Using the distributive property of multiplication:
 
"  + 1 ( -12x² − 12x + 12 )  =  (1 * -12x²) − (1 * 12x) + (1 * 12) ; 

                                        =   "  − 12x² − 12x + 12 " ; 
_________________________________________________
Now, bring down the other part of the expression; & rewrite:
_________________________________________________
→   " (16x²  − 16)  − 12x² − 12x + 12 " ; 

   →  " 16x²  − 16 − 12x² − 12x + 12 "  ;

Now, combine the "like terms" :

     + 16x²  −  12x²  = 4x²  ; 

     − 16 + 12 =  -4 ; 

and we have " − 12x" ;

So we can rewrite the expression as:
_______________________________________________________

 →   " 4x² − 12x − 4 " ; 

        →  which is:  "Answer choice:  [D]:  " 4x² − 12x − 4 <span>" .
</span>_______________________________________________________
 
5 0
4 years ago
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