(-5,6) is the vertex.
I did this by using the vertex x coordinate Formula which is -b/2a
So in this case a=3 b=30 c=81
So if put the number in it would be
-30/2(3) = -30/6 = -5
Now that we know the x coordinate of the vertex which is -5. You plug the x of -5 into the quadratic equation to get the y.
3(-5)^2 + 30(-5) + 81=y
Simplify it
75-150+81= Y
Combine the light terms
6=y
So the coordinate points are (-5,6)
Answer:
A 18miles
Step-by-step explanation:
x is the number of miles
The fee then is
1.5x + 3 = 30
1.5x = 27
Divide by 1.5
x is equal to 18miles
Answer:
- 3, 9, 25
Step-by-step explanation:
To find the required terms of the sequence substitute n = 2, 5, 9 into the given rule, that is
= - 7 + (2 - 1)4 = - 7 + (1 × 4) = - 7 + 4 = - 3
= - 7 + (5 - 1)4 = - 7 + (4 × 4) = - 7 + 16 = 9
= - 7 + (9 - 1)4 = - 7 + (8 × 4) = - 7 + 32 = 25
Lets get started :)
We need to find the radius of the larger cylinder
V =

r²h
960 =

r²(16)

60 =


r =

r ≈ 4.27 cm
The ratio of the bigger cylinder to smaller is:
16 : 4
Therefore, the big cylinder is 4 times bigger than the small cylinder

= r
r = 1.09 cm (radius of small cyclinder)
V (small cylinder) =

(1.09)²(4)
= 15 cm³Your answer will be C. 15 cm³