What is the answer to F(10)= 5(x-1)(2x+3)

Question

What is the answer to F(10)= 5(x-1)(2x+3)

in progress 0
Amara 2 weeks 2021-10-09T19:20:50+00:00 1 Answer 0

Answers ( )

    0
    2021-10-09T19:22:11+00:00

    Answer:   1035 ” .

    ______________________________________________

           →    ”  F(10) = 1035 ” .

    ______________________________________________

    Step-by-step explanation:

    ______________________________________________

    To solve:

    For the “right-hand side” of the equation;  substitute “10” for all “x” values:

    Given:  

           F(10) = 5(x – 1)(2x + 3) ;

      →   F(10) = 5(10-1)(2*10 + 3) ;

    ______________________________________________

    How, to simplify the right-hand side of the equation;

     Solve using PE MD AS ; the mnemonic device for the order of operations to use for simplifying an expression:

      Please Excuse My Dear Aunt Sally [or: Susan—either name is fine] :

    or the variant:

    ______________________________________________

      Be Excused,  My Dear Aunt Sally/Susan .

    ______________________________________________

    in which the letters of the first words of the sentence in this mnemonic device represent the order of operations performed, as follows:

    ______________________________________________

     (Parentheses, followed by Exponents);  if these occur; in that order;

       or:  using the variant:

      {Brackets, followed by Exponents};  if these occur, in that order;

         — in which “Parentheses” are considered a type of “Brackets” ;

             — and in which if both :  Brackets  and  Parentheses occur,

                     the “Brackets”, take first in the order of operations

                     [if they occur];   followed by:  “Parentheses” ;

                      and then followed by:  “Exponents” (if they occur);

    _________________________________________

    then:  Multiplication (if it occurs) and Division (if it occurs);

    However,  instead of Multiplication followed by Division” ;

      the difference is that these operations are performed from left to rightas they appear (if both Multiplication and Division occur) within the expression ;

    ______________________________________________

    then:  Addition (if it occurs) and Subtraction (if it occurs);

    However,  instead of Addition followed by Subtraction” ;

      the difference is that these operations are performed from left to rightas they appear (if both Addition and Subtraction occur) within the expression.

    ______________________________________________

    So:

      Given:  

           F(10) = 5(x – 1)(2x + 3) ;

      →   F(10) = 5(10-1)(2*10 + 3) ;

    We can calculate—and simplify—the “right-hand side” of the equation; as follows:

    We have:  

      →   “ 5(10-1)(2*10 + 3) ” ;

     

      →   that is;  ” 5 * (10 – 1) * (2*10 + 3) ;

    ______________________________________________

    We do have “parentheses” in this expression:

    We shall begin by simplifying the values within the two (2) terms that are enclosed within parentheses:

     

    Start with:  

    ” (10 – 1) ” ;  

      10 – 1 = 9 .  

    ______________________________________________

    Now, let us continue with the second term that is in parentheses:

       ” (2*10 +3 ) ” ;

        →   2*10 + 3 = ?? ;

        →  Note the order of operations rules—{as stated above]; state that “multiplication/division” come before “addition/subtraction” ;

        → So:  ” 2*10 + 3 =  (2*10) + 3 = 20 + 3 = 23 .

    On “the right-hand side” of the given equation; we have:

            →  ” 5 * (10 – 1) * (2*10 + 3) ;        

    Replace the terms:  “(10 – 1)” with:  “9” ;

                                      “(2*10 + 3)” with:  “23” ;

    And rewrite:

            →  F(10) = 5 * 9 * 23 ;

                         =  45 * 23 ;

                         =  1035 .

    ______________________________________________

    The answer is:  1035 .

    ______________________________________________

    Hope this is helpful to you.

            Best wishes!

    ______________________________________________

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )