A cyclist rides from his house to the local park. Along the way, at 10 AM, he overtakes a jogger who is also traveling to the park along the same route. The jogger is moving four times slower than the cyclist.

The cyclist reaches his destination at the park, rests for 15 minutes, then takes off again back home. At 11 AM, he oases the same jogger still making her way to the park. Finally, the cyclist reaches his house at the same moment the jogger reaches the park.

At what time did the cyclist originally leave his house?

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Use set buikder notation to represent the following set: {, -2, -1, 0}

Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2