The table gives two options for online music clubs which is also given by the system of equations: y = 0.4x + 15 and y = 0.2x + 25

For what number of songs will the monthly charge be the same?

50 songs at $35

Step-by-step explanation:

x = 50, y = 35

Step-by-step explanation:

Solve this system of linear equations by using substitution.  Equate the two equations to one another, thus eliminating y:

0.4x + 15 = 0.2x + 25

subtract 0.2x from both sides, obtaining:  0.2x + 15 = 25, or, after combining the constants, 0.2x = 10.

Finally we divide both sides by 0.2, which results in x = 50.

Use the first equation to find y:  y = 0.4(50) + 15 = 20 + 15 = 35

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.