Given f(x)=5x-3 and g(x)=x^2, find g(f(2))
1 answer:
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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)
Answer:
1 1/8 or 9/8
Step-by-step explanation:
Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.
The first proportion will be..
x is 3/4 and y is 1/2. Across from that proportion make another one
x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.
Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.
Hope this wasn't too confusing :)