Write the expression nine divided by the quantity of x plus y
1 answer:
9514 1404 393
Answer:
Step-by-step explanation:
In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...
When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:
9/(x+y)
These expressions match the first choice, A.
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The given function presents a local minimum in the coordinates (0,-1).
<h3>Factoring</h3>In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
For solving this question, the given equation should be rewritten from the factoring.
. Then, you have 3 equations.
From the Zero Factor Principle, you can write
Equation 1
(x+1)²=0
x+1=0
x= -1
Equation 2
x-1=0
x=1
Equation 3
x²-x+1=0
From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).
Read more about the factoring here:
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