A computer can sort x objects in t seconds, as modeled by the function
1 answer:
Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
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The domain for which the function is defined is given by:
D. .
The domain of a function is the set that contains all possible input values for the function.
A square root is only defined for non-negative values, hence:
.
.
The intersection of these two domains is , hence option D is correct.
More can be learned about the domain of a function at brainly.com/question/10891721
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