Haley substituted the values of a, b, and c into the quadratic formula below.
x = startfraction negative (negative 10) plus or minus startroot (negative 10) squared minus 4 (7)(negative 2) endroot over 2(7) endfraction
what was haley’s function in standard form?
x2 + _
x + _
the rules of exponents say that a polynomial can't have a variable as a denominator. option a violates that rule, since it has x + 3 as a denominator.
the given expression is
we rewrite to obtain;
we apply the difference of two squares formula to obtain;
we factor further to obtain;
this will give us;
c = 4 a
the given function p(c) = - 15 c (c-8) is actually quadratic function:
p(c) = - 15c² + 120c or parabola
the standard form of a quadratic function is:
y = ax² + bx + c
for which x is the maximum of the parabola we can find with this formula
x = - b/2a
in this case a = -15 and b = 120 and input variable is current c
c = - 120/(2 · (-15)) = - 120/ (-30) = 4 a
c = 4 a
god with !
x = startf...