Tell whether the ordered paid is a solution of the linear inequality (0, -1) 2x + 3y = -3
1 answer:
You might be interested in
We cannot agree with Danika. Why? Well, The reasoning is given as follows:
Two functions are inverses of each other if and only if it is true that the composition function is given by:
Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
Two functions are inverses of each other if and only if it is true that the composition function is given by:
Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
Answer:
The vertex of this parabola, , can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where ,
, and
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for , and the coefficient for
should all match accordingly. That is:
.
The first equation implies that is equal to
. Hence, replace the "
" in the second equation with
to eliminate
:
.
.
Similarly, replace the "" and the "
" in the third equation with
and
, respectively:
.
.
Therefore, would be equivalent to
. The vertex of this parabola would thus be:
.