The given parabola is . Compare with the standard equation of a parabola in vertex form,
.
The vertex of this parabola is . Compare
with the standard equation
.
we see . Thus, the vertex of the given parabola is
.
What value of x makes this proportion true? 3/x = 15/40 A. 5 B. 28 C. 8 D. 105
2 answers:
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Answer:
The correct option is D)
Step-by-step explanation:
Consider the provided information.
People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) people per hour,
The change of number of people in building is:
Where f(t) is people entering in building and g(t) is exiting from the building.
It is given that "The functions f and g are non negative and differentiable for all times t."
We need to find the the rate of change of the number of people in the building.
Differentiate the above function with respect to time:
It is given that the rate of change of the number of people in the building is increasing at time t.
That means
Therefore,
Hence, the correct option is D)