Can someone help me with this?
1 answer:
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Given:
The height h of an object after t seconds is
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
Here, t is the time in seconds.
For t=-2,
For t=5,
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
Answer:
f(x) = -√(x-4) + 2
Step-by-step explanation:
(a) Start with the basic function: f(x) = √x.
This would be the top half of a horizontal parabola opening to the right (always positive).
(b) The range is y < 2. This includes negative numbers, so the function must be f(x) = -√x.
(c) The function starts at x = -4. We must shift it four units to the left. We do that by adding four units to x. The function must be f(x) = -√(x + 4). The domain is x > -4.
(d) The function starts at y = 2. We must shift it up two units. We do that by adding two units to y. The function must be f(x) = -√(x+4) + 2. The range is y < 2.
The figure below is the graph of f(x) = -√(x+4) + 2.
