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
Lines with no solution are parallel lines....parallel lines will contain the same slope, but different y intercepts.
y = -2x + 3/2....slope (m) = -2 and y int (b) = 3/2
so the line we need will have a slope of -2, but can have any y int EXCEPT 3/2.
m = -2, and b = -1/3 is parallel, no solution
m = -2 and b = -2/3...parallel, no solution
Answer:
[90,225] notation or 135 range
Step-by-step explanation:
10x9=90
25x9=225
[900,2250] notation or 1350 range
Answer:
As per the statement;
The moon takes 28 days to orbit around the earth going at a distance of 2,413,000 km
From the above information,
The ratio between Distance and Days is; 
then,
the distance it takes for the moon to travel one day of its orbit around the earth we have;
km.
Therefore, the distance in kilometer does the moon cover in 1 day is 86178.57 km
T chart but thats all i can think of
