Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = 
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) =
a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = (
) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
Answer:
75 people.
Step-by-step explanation:
If Friday is x, then Saturday is 150 + x. The number of people on Sunday then is (Friday + Saturday)/2, thus (x + (150 + x))/2. This then simplifies to (x + 150 + x)/2 ---> (2x + 150)/2 ---> 2x/2 + 150/2 ---> x + 75. So, Friday is x and Sunday is x + 75, to find out how many more visitors the museum have on Sunday than Friday, you subtract the two numbers. (x + 75) - x = 75.
Answer: C) an occluded front leading to a tropical storm
Step-by-step explanation: it is occluded because the two cool and warm fronts are joined together creating a tropical storm.
Answer: the third
Step-by-step explanation: