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:
Maximum: 7
Minimum: 0
Step-by-step explanation:
A proper subset B of a set C, denoted , is a subset that is strictly contained in C and so necessarily excludes at least one member of C.
This means that the number of elements in B must be at least 1 less than the number of elements in C. If the number of elements in C is 8, then the maximum number of elements in B can be 7.
The empty set is a proper subset of any nonempty set. Hence, the minimum number of elements in B can be 0.
Answer:
it's applied to an force reallllll
Answer:
8/3 ( Fraction Form), 2.6 ( Decimal Form), 2 2/3 ( Mixed Number Form)
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.