Acomputer can sort x objects in t seconds, as modeled by the function below t=0.003x^2 + 0.001x how long in seconds will it take the computer to sort 12 objects

Step-by-step explanation:

Let

x -----> the number of objects

t ----> the time in seconds

we have

For x=12 objects

substitute in the formula and solve for t

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus