pitchoune11
contestada

Hello, could you help me with my math exercise? thank you in advance

How do you go from the starting number to the result? With the following algorithm:
Choose a number
Multiply by -11
Add 5
Multiply by -9
Add the starting number
Subtract 55

The number chosen is x

Respuesta :

Jarnsida

Answer:

[tex]100(x - 1)[/tex]

Explanation:

Let's begin writing down everything

(X×(-11)+5)×(-9)+X-55

Now we can multiply

-9(-11X+5)+X-55

99X-45+X-55

And so we get

100X-100

Factorize 100

100(x-1)

JonHenderson55

Answer:  The simplified expression is:  " 100x - 100 . "

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Step-by-step explanation:

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Step 1)  Choose a number;  Let this number be represented by:  " x " .

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Step 2)  Multiply "x" by  " (-11) " ;  as follows:

       x * (-11) =  -11 * x  =  - 11x  .

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Step 3) Add "5"  to:  " -11x " ;  as follows:

       5 + (-11x)  =  -11x + 5 .

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Step 4)  Multiply:  " (-11x + 5) by:  " (-9)" ;  as follows:

                 -9(-11x + 5) = ?

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Note the "distributive property" of multiplication:

        a(b + c) = ab + ac .

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As such:

                 -9(-11x + 5) =

                   (-9 * -11x)  +  (-9 * 5)  =

                      99x  + (-45)   =

                      99x  -  45  .

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Step 5: Add "x" to:  " (99x - 45) "  ;  as follows:

     

                      99x  -  45  +  x   =

                  99x + x  - 45  =  

                  100x - 45 .

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Step 6:   Subtract "55" from:  " (100x - 45) " ;  as follows:

                        100x - 45 - 55 =  ?

                    - 45 - 55  =  - 100 ;

                     

                          100x  - 45 - 55 =

                               

                                100x - 100 .

                     or:  Factor out a "100" ;

           →  100 (x - 1) ;

However, the simplified expression is:  " 100x - 100 " .

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