Standard form of a linear equation is Ax + By = C, where A, B, C are constants.
So,
y-8 = 3(x+1)
y-8 = 3x + 3
substract 3 from both sides,
y-8-3 = 3x+3-3
y-11 = 3x
substract y from both sides,
y-y-11 = 3x-y
-11 = 3x-y
So, the standard form is 3x-y = -11
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:
$15865.6
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 99.160 × 8/100 × 2
I = $ 15865.6
Answer:
the number -5 is a real number
Step-by-step explanation:
real numbers are basically all numbers.... if you havent met complex numbers yet..
hopefuly this helped
:)
Answer:6x2=12-10=2 and 4×+3=12
Step-by-step explanation:
