The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer:
Quota sampling method is a non-probability sampling and it can be defined as a sampling method of gathering representative data from a group. Application of quota sampling ensures that sample group represents certain characteristics of the population chosen by the researcher
Step-by-step explanation:
Are there any parenthesis? I think you might have skipped out on them.
Answer:
5800 x 0.0135 = 78.3
78.3 x 3 =234.9
78.3/2 = 39.15
234.9 + 39.15 = 274.05
Your answer is 274.05
Step-by-step explanation:
Hope this helps!
Answer:(2x+5)(x+5)=0
Step-by-step explanation:
2x^2+15x+25=0
Factorise we have
2x^2+10x+5x+25
(2x^2+10x)+(5x+25)=0
2x(x+5)+5(x+5)=0
(2x+5)(x+5)=0