Question

A computer can sort x objects in t seconds, as modeled by the function below: t=0.005x^2+0.002x How many objects are required to keep the computer busy for exactly 9 seconds? Round to the nearest whole object.

Answer 1

What would t= in the function above?

Answer 2

i think the t would 9

Answer 3

@nelsonjedi

Answer 4

Yes so \(9 = 0.005x^2+0.002x\)

Now solve for x.

Answer 5

try to get it to quadrant equation \(0=ax^2+bx+c\) then use quadratic formula: \[x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\]

Answer 6

quadratic*

Answer 7

do i subtract 9 from both sides?

Answer 8

right

Answer 9

and then i plug into the quadratic formula correct

Answer 10

right