Please help , this is for my math test and i really need to pass it, i’ll give brainliest and a thanks , please this is important!! (worth 20 points)

Use the x-intercept method to find all real solutions of the equation.x^3-10x^2+27x-18=0

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Which number completes the inequality? 2/3 < _ < 7/9