1.
the x value of the vertex in form
ax^2+bx+c=y
is
-b/2a
so
-2x^2+8x-18
x value of vertex is
-8/(2*-2)=-8/-4=2
plug it in to get y value
-2(2)^2+8(2)-18
-2(4)+16-18
-8-2
-10
vertex is at (2,-10)
or you could complete the square to get into y=a(x-h)^2+k, where the vertex is (h,k)
so as follows
y=(-2x^2+8x)-18
y=-2(x^2-4x)-18
y=-2(x^2-4x+4-4)-18
y=-2((x-2)^2-4)-18
y=-2(x-2)^2+8-18
y=-2(x-2)^2-10
vertex is (2,-10)
5.
vertex is the time where the speed is the highest
at about t=10, the speed is at its max
According to my calculations 1.8e9
Answer:
.
Step-by-step explanation:
Note: In the given function it should be (n-1) instead of (n=1).
Consider the given function is
It is the explicit form of an A.P.
For 
,
For 
,
Common difference is
The recursive formula of an A.P. is
Substitute 
in the above formula.
Therefore, required recursive formula is .
Answer:
B) 194.7 m
Step-by-step explanation:
You use the radius value in the formula 2(pi)r.
2(pi)31 = 194.7
Answer:
x = 8
Step-by-step explanation:
alternate-interior angles equal 180°
17x + 14 + 4x - 2 = 180
21x + 12 = 180
21x = 168
x = 8
