For a parabola equation ax^2+bx+c, the vertex would be -b/2a
Therefore, the x coordinate of the minimum would be -(-32)/2(2)=32/4=8
That is the "h" part of the equation.
Now, we need to find the y coordinate, which will be the "k" part of the equation. We can find that by plugging in x=8 into the equation: 2(8)^2-32(8)+56= -72
Therefore, we plug (h,k) and a in, and get the equation y=2(x-8)^2-72
The x coordinate of the minimum is 8
Answer:
your answer is D. hope this helped
The common difference if there is one is the constant difference that occurs between any term and the term before it.... in this case:
There is no common difference,
dx=18,20,16,18 the difference or velocity is not constant...
d2x=2, -4,2 the acceleration is not constant...
d3x=-6,6 the thrust is not constant
Now we might be tempted to say that:
d4x=12 and say that that is constant and we COULD make a quartic equation fit all the data points, but without further data points in the sequence there is no mathematical proof that the quartic equation would produce accurate data points outside of the range given...
And solving a system of five equations for five unknowns is tedious for such a problem...a^4+bx^3+cx^2+dx+e=y
Octagon:
= [(8-2)×180]÷8
= 135
Angle of LMN is:
= 360-135-60
= 165
Angle of EMN is:
= 180÷3
= 60
The number of side is :
[(n-2)×180]÷n = 165
(180n-360)÷n = 165
180n-360 = 165n
180n-165n = 360
15n = 360
n = 360÷15
n = 24
So, the number of side of the regular polygon R is 24.