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.

Respuesta :

Answer:

Β  36 objects

Step-by-step explanation:

You want the value of x when t=9, so you're solving ...

Β  9 = 0.007x^2 +0.003x

Β  9 = 0.007(x^2 + 3/7x)

From here, we observe that an approximation is probably sufficient.

Β 9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

Β  x β‰ˆ 3/√.007 β‰ˆ 35.9 β‰ˆ 36

We can check:

Β  .007(36)(36 3/7) = 9.18

Β  .007(35)(35 3/7) = 8.68

To keep the computer busy for 9 seconds, it needs to sort 36 objects.

Β 

Ver imagen sqdancefan

Answer:

36

Step-by-step explanation: