Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts. 2x² = 13x +7
Rewrite the equation in factored form.

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.