In the graph, the area below f(x) is shaded and labeled a, the area below g(x) is shaded and labeled b, and the area where f(x) and g(x) have shading in common is labeled ab.
graph of two intersecting lines. the line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. the other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.
the graph represents which system of inequalities?
a. y ≤ −3x − 1
y ≤ −x − 4
b. y ≥ −3x + 1
y ≤ −x − 4
c. y ≤ 3x − 1
y ≤ −x + 4
d. y ≤ 3x − 1
y ≥ −x + 4

In a small section of a stadium there are 40 spectators watching a game between the cook islands and fiji. they all support at least one of the two teams. 25 spectators support the cook islands and 16 of these support both teams. how many support only fiji?

Which statement best explains whether the table represents a linear or nonlinear function? input (x) output (y) 2 5 4 10 6 15 8 20 it is a linear function because the input values are increasing. it is a nonlinear function because the output values are increasing. it is a linear function because there is a constant rate of change in both the input and output. it is a nonlinear function because there is a constant rate of change in both the input and output.

The upcoming championship high school football game is a big deal in your little town. the problem is, it is being played in the next biggest town, which is two hours away! to get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. you determine that if more than three students share a ride, on average, you will create the app. you conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. the following data are collected: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5 construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results. part a: state the parameter and check the conditions. part b: construct the confidence interval. be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process. part c: interpret the meaning of the confidence interval. part d: use your findings to explain whether you should develop the ride-share app for the football game.