Answer:
x = -6.00 (rounded to nearest hundredth)
Step-by-step explanation:
- for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex]
- we have [tex]f(x)=x^2+12x+31.5[/tex]
- a = 1
- b = 12
- to find minimum use equation [tex]x=\frac{-b}{2a}[/tex]
- [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]
