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BlackZzzverrR [31]
3 years ago
7

Why is 1/2 of 2 equal to one whole

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0
Add the 2 halfs and you get a whole 1/2+1/2 =1
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Which represents where f(x) = g(x)? A) f(4) = g(4) and f(0) = g(0) B) f(–4) = g(–4) and f(0) = g(0) C) f(–4) = g(–2) and f(4) =
saul85 [17]

Answer:

B. f(-4) = g(-4), and f(0) = g(0)

Step-by-step explanation:

We are given two functions that have been graphed already. The points on the coordinate plane  where the  curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).

Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.

Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.

Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)

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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) pe
erastova [34]

Answer:

The correct option is D) f'(t)-g'(t) > 0

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:

h(x)=f(t)-g(t)

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:

h'(x)=\frac{d}{dt}[f(t)-g(t)]

h'(x)=f'(t)-g'(t)

It is given that the rate of change of the number of people in the building is increasing at time t.

That means h'(x)>0

Therefore, f'(t)-g'(t)>0

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