A computer can sort x objects in t seconds, as modeled by the function below: How many objects are required to keep the computer busy for exactly 9 seconds? Round to the nearest whole object.

Question

A computer can sort x objects in t seconds, as modeled by the function below:      How many objects are required to keep the computer busy for exactly 9 seconds?  Round to the nearest whole object.

isaiah.feynman · Answer

Where is the function?

anonymous · Answer

attachment

dape · Answer

Put in t=9 and solve for x using the quadratic formula.

anonymous · Answer

that gives me x=0 x=−0.42857142857142855 right?

dape · Answer

I'm not getting those answers, could you show me your steps so I can help you clear up any confusion =)

anonymous · Answer

so if i put in $$ x=\frac{ -b+/-\ \sqrt{b^2-4ac} }{ 2a }$$ and I put in a=.007 b=003 c=0 

the two answers I get are x=0 x=−0.42857142857142855

dape · Answer

Ah, I see, the c should be -9 in this case, since we start with
$$9=0.007x^2+0.003x$$
which is the same as
$$0.007x^2+0.003x-9=0$$

anonymous · Answer

so the answer shoud be 36

dape · Answer

Yes, you're right!