A2-column table with 9 rows. the first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. the second column is labeled f of x with entries 18, 9, 6, 3, 0, negative 3, negative 6, negative 9, negative 18. based on the table, which best predicts the end behavior of the graph of f(x)?
1. as x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.
2. as x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.
3. as x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.
4. as x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

Two different linear functions are shown below with two points given from each function. use slope-intercept form or point-slope form to find the equation of each. linear function a points: (–5, –2), (–5, 7) linear function b points: (7, –5), (–2, –5) function a has: the equation of line a is: function b has: the equation of line b is:

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.