A landscaping company has been commissioned to design a triangular flower bed for a mall entrance. The final dimensions of the flower bed have not been determined, but the company
knows that the height will be two feet less than the base. The area of the flower bed can be
represented by the equation
A = 1/2b^2 - b.
1. Write this equation in factored form
2. Suppose the base of the flower bed is 16 feet. What will be it’s area?

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?

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

What can you measure with a meter stick?