The table shows values for functions f(x) and g(x). x f(x)=2x−2 g(x)=3x−3
−1 −32 −6
0 −1 −3
1 0 0
2 2 3
3 6 6
4 14 9
5 30 12

What are the solutions of the equation f(x)=g(x)?

Select each correct answer.

0
1
2
3
4

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

An angle that measures between 90 and 180° is called a(,

Lin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. she knows that the total cost to download 3 videos was $12. her work to find the equation is shown below. joylin’s work step 1 k= 3/12= 0.25 step 2 y= 0.25x where did joylin make her first error?