The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences. January (1) 2 3 February (2) 4 4 March (3) 6 5 April (4) 8 6

Month:            # of orders in   # of orders out:

January (1)      3                      3

February (2)    6                      4

March (3)        9                       5

April (4)          12                      6

The solution may be found by graphing the data.

In the same coordinate system, you can graph the number of orders in and the number of orders out, as a function of the month.

Then, you can find the trend of every set of data.

You will find that the number of orders is linearly related to the month and that the same is true for a number of orders out.

The solutions are:

y = 3 x, where y is the number of orders in, and x is the number of the month

z = x + 2, where z is the number of orders out, and x is the number of the month.

Step-by-step explanation:

If your "system of equations" is supposed to be ...

 f(x) = g(x)

the two function values are equal in January, for x = 1. The number of imports is equal to the number of exports in that month. Both f(x) and g(x) are 3 for x=1.

___

There are no "equations" involved here. There are only tables for f(x) and g(x). We assumed the relevant equation was f(x)=g(x), but that is not given as part of the problem statement.

If your "system of equations" is ...

y = f(x)

y = g(x)

then the solution is (x, y) = (1, 3) as described above.

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)