A computer can sort x objects in t seconds, as modeled by the function below: t=0.007x2 + 0.003x How many objects are required to keep the computer busy for exa
Mathematics
pidgeon47
Question
A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.007x2 + 0.003x
How many objects are required to keep the computer busy for exactly 9
seconds?
Round to the nearest whole object.
below:
t=0.007x2 + 0.003x
How many objects are required to keep the computer busy for exactly 9
seconds?
Round to the nearest whole object.
2 Answer

1. User Answers sqdancefan
Answer:
36 objects
Stepbystep 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.

2. User Answers Anonym
Answer:
36
Stepbystep explanation: