Answer:
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (2, - 4), thus
y = a(x - 2)² - 4
To find a substitute (- 3, - 3) into the equation
- 3 = a(- 3 - 2)² - 4
- 3 = 25a - 4 ( add 4 to both sides )
1 = 25a ( divide both sides by 25 ), hence
a = 
y =
(x - 2)² - 4 ← in vertex form
=
(x² - 4x + 4) - 4 ← in expanded form
Hence the coefficient of the x² term is 
Answer:
C
Step-by-step explanation:
The graphical representation of a system of two linear equations is two lines. These two lines can
(1) interesct at a point (x, y)
(2) not intersect and be parallel (no solution)
(3) sometimes turn out to be the same line (infinitely many solutions).
These are the only possibilities for a system of two linear equations because when graphed, they will only do these three things.
Please comment with any questions!
Hello there, my fellow human being!
So, let's use the important information that was put in this word problem:
400 store santas were hired.
Each santa sees 125 children a day.
This continues for 30 days.
We can now figure this out.
400 * 125 = 50,000 children a day seen by all the santas
50,000 * 30 = 1,500,000 children seen by all the santas in 30 days total.
So, 1,500,000 children are seen by Lord and Taylor's santas.
Hope this helped!
~Ruru