<span>The nonpermissible replacement is when the denominatory equals zero. In this case, when x=-.5, the denominator equals zero. Therefore, -.5 is the nonpermissible replacement. </span>
6^2/2(3)+4
Follow the order of operations, (GEMDAS) which goes like this:
<em>grouping, exponents, multiplication/divison, addition/subtraction
</em>
First up is our grouping, specifically parentheses. While we do have parentheses in our expression there isn't anything going on <em>inside</em> of them that we'd have to do first. (The 2(3) is another way of writing 2×3.)
Next we have exponents, which would be our 6^2. (6 squared)
When something is squared, that means it is multiplied by itself. 6^2 = 6×6 = 36.
Now our expression is 36/2(3)+4.
Next we need to handle the multiplication and division. (order doesn't matter)
The best way to do this is from left to right. The 36/2 = 18...
Then 18(3) = 54.
If we took 36(3) then divided by 2 we would get the same answer.
However, what you <em>cannot</em> do is multiply the 2(3), simply because the 2 is a denominator of a fraction. If you don't know what this is or why, it's okay--just always do it left to right and you'll never have to worry about it.
Now our expression is 54+4.
Finally, we can handle the addition/subtraction. 54+4 leaves us with 58.
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Answer:
the quotient of -30/6 and 30/ -6 are same ie. -5, because if the numerator or denominator is negative the quotient will be negative.
hope it helps!
