Answer:
3 ≤ x ≤ 7 or x is between 3 and 7, inclusive
Step-by-step explanation:
Eira's graph probably resembled the diagram below.
The domain is the set of all possible x-values that will make a function work.
x can take any value from 3 to 7.
The domain is [3, 7] or 3 ≤ x ≤ 7.
Answer:
<em>The correct answer is the first option</em>
Step-by-step explanation:
<u>Quadratic Equation</u>
The standard form of a quadratic equation is

Sometimes we need to change the expression of the same equation to the form

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.
The given quadratic equation is

Recall the square of a binomial is

The first term is already present. The second term gives us the value of p:

Solving

Now we need to produce the third term
. We only have 41, thus we need to add 8 to both sides of the equation:

The correct answer is the first option
X = -2
set equations equal and solve
2x+7 = -x+1
collect like terms
3x = -6
divide
x=-2
Answer:
The equation of the parabola is
, whose real vertex is
, not
.
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
,
, 
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is:
,
,
. Hence, the equation of the parabola is
. Lastly, we must check if
belongs to the function. If we know that
, then the value of
is:


does not belong to the function, the real point is
.
Quadrant one
Hope this helped