Ok, so we see in
y=a(x-h)^2+k
vertex is (h,k)
vertex is highest or lowest point
on one side, it goes up and other side it goes down
if a is positive, then it goes down then up
if a is negative, it goes up then down
we see
f(x)=2(x+3)^2+2
2 is positive
goes down then up
vertex is (-3,2)
so decreases from -infinity to -3 or ininterval
(-infinity,-3)
answer is first option
Answer:
$32.03
Step-by-step explanation:
Since there is a tax rate, you want to multiply $30.50 by 1.05 since you are adding tax to it and it is 5%. You should get 32.025 as the result, but since you need to round it, it is $32.03.
3 1/4 = 3.25
1 mile = 5280
5280 * 3.25 = 17,160
Correct answer is D. 17,160
Answer:
Step-by-step explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm
Answer:3z2-7z
Step-by-step explanation: First, subtract the 5z2 from the 8z2. Then, combine the last two like terms which are -3z and -4z.
Lastly, combine everything in biggest to lowest exponent. Which is z2 and lowest is z.