3 3
7
Which expression is equivalent to
7
-2
:
.?
4.
A
.
1 7
2 -2
27
1 2
2 7
B
1
-2
-1
D
2
-2

 The correct answer is:

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            →   Choice: [C]:  "   " .

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Step-by-step explanation:

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Note that this problem contains multiplication and division.

 WIth multiplication and division;

the order of operations we perform is from "left side to right side" in the expression;  in the order in which the operation occurs:

As such:

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The given problem:

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"   ÷ " ;

Is treated as:

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" ÷ " ;

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So, we start with:

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" " ;

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→ ;  

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Simplify:

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"   " ;

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          →  The "(-1)'s " cancel out:

              {since: "(-1)/(-1) = 1 "} ;

→ And we have:  " " ;

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Now, continue with the problem, and divide this value by: " " ;

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 " ÷ " ;

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Note that dividing by a number is the same as multiplying by the reciprocal of that said number:

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The reciprocal of " " ; is:  " : l

As such:

" ÷ " ;

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     =   "    "

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Now, let us simplify:

 Note:  The "8" and the "-8" ;

    The "8" can be changed to "1" ; and the "-8" can be changed to "-1" ;

since: "-8 ÷ 8 = 1 " ;  and since:  "8 ÷ 8 = 1 " ;

Note:  The "3" and the "21" ;

    The "3" can be changed to "1";  and the "21" can be changed to "7" ;

since: "21 ÷ 3 = 7 " ; and since:  "3 ÷ 3 = 1 " ;

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And we can we rewrite the expression:

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 → " " ;

which equals:  " 7 * -1 " ;  which equals " - 7 ".

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Now, the problem has 4 (four) answer choices.  Which expression [i.e. which answer choice] is equal to:  " -7 " ??

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Consider Choice [A]: " " ; which equals: " " ;

" ."

Rule out: "Choice [A]."

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Consider Choice: [B]: " " ; which equals: " ; " ."

Rule out: "Choice: [B]."

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Consider Choice: [C]: " " ; which equals: " ;  " ".  

 Choice [C]: seems correct!

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Consider Choice: [D]: " " ; which equals:

                           " ;

                                              → cancel out the "(-1)'s" ;

                                              → {since: "(-1) / (-1) = 1 " ;  

                                         to get:

                                              → " " ; which equals:

                                              → " " ;  " . "

 Rule out: "Choice: [D]."

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The correct answer is:

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Choice: [C]:  "   " .

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Hope this is helpful to you!

Wishing you the best!

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solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.