Britney is solving a quadratic equation. her first
step is shown below.
problem: 3x^2– 8-10x = 3(2x + 3)
step 1: 3x2^2 - 10x - 8 = 6x + 9
which two properties did britney use to get to step
1?
i addition property of equality
ii. commutative property of addition
iii. multiplication property of equality
iv. distributive property of multiplication
over addition
1) i and ii
2) i and iv
3) ii and iii
4) ii and iv

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?

Acircle has a radius of 5/6 units and is centered at (3.6, 7.8) write the equation of this circle

Find the pattern and use it to list the nth term in the sequence. 6, 12, 20, 30, 42, 56, the nth term of the sequence is