Find all of the roots of x6 − 25x4 − 625x2 + 15,625 = 0. (Hint: Rearrange the terms with a sum of cubes followed by the two other terms. Factor the sum of cubes and factor the GCF from the two other terms. Then factor by grouping.) The roots with multiplicity 2 are ___ and ___. The roots with multiplicity of 1 are ___ and ___.

Acarpool service has 2,000 daily riders. a one-way ticket costs $5.00. the service estimates that for each $1.00 increase to the one-way fare, 100 passengers will find other means of transportation. let x represent the number of $1.00 increases in ticket price. choose the inequality to represent the values of x that would allow the carpool service to have revenue of at least $12,000. then, use the inequality to select all the correct statements. the maximum profit the company can make is $4,125.00. the maximum profit the company can make is $15,625.00. the price of a one-way ticket that will maximize revenue is $12.50. the price of a one-way ticket that will maximize revenue is $7.50.