Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
-Find the values of $a , b$, and c such that the equation $y = a x ^ { 2 } + b x + c$ has ordered pair solutions $( - 2 , - 6 )$, $( 2,10 )$, and $( 4,6 )$.
A) $a = 1 ; b = 4 ; c = 6$
B) $a = - 1 ; b = 4 ; c = 6$
C) $a = 1 ; b = 6 ; d = 4$
D) $a = - 1 ; b = 6 ; c = 4$

Question

Quizplus · Accepted Answer

To find the values of $a$, $b$, and $c$, we can substitute the given points into the equation $y = ax^2 + bx + c$ and solve the resulting system of equations. Substituting $(-2, -6)$, we get $-6 = 4a - 2b + c$. Substituting $(2, 10)$, we get $10 = 4a + 2b + c$. Substituting $(4, 6)$, we get $6 = 16a + 4b + c$. Solving this system of equations yields $a = -1$, $b = 4$, and $c = 6$.

Given the Cost Function, C(x), and the Revenue Function, R(x) a,ba , ba,b

Given the Cost Function, C(x), and the Revenue Function, R(x) $a , b$