Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
, where (h,k) is the vertex
h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
Answer:
(-5, 2)
Step-by-step explanation:
g(x) = f(x -h) +k
is a translation of f(x) h units to the right and k units upward. Here, we seem to have h=-5 and k=2. That means the point (0, 0) has been translated 5 units to the left (to -5) and 2 units upward (to 2).
The translated location of (0, 0) is (-5, 2).
_____
We assume we're to ignore the apostrophe (') in the equation for g(x).
Answer: After 5 bags of mulch, the cost for both companies will be the same.
Step-by-step explanation:
The cost for Company can be represented by the equation: y= 10m+100
The cost for Company B can be represented by the equation: y= 30m
To find the amount of mulch, their cost needs to be the same, I will solve for m
10m+100=30m
-10m 10m
100=20m
Divide both side by 20
100/20=20m/20
5=m or m=5
So after 5 bags of mulch, the total cost for both companies is the same.
