The graph below shows the lines f(x)=1.1x+2.2 and g(x)=1.9x-0.75
. One combination of input and output values will satisfy both functions. How do you know this? Use the graph to estimate this combination of values. Then create a table of values for each function and use it to justify your answer.

In the figure attached, the lines are shown.

There is a combination of input and output that satisfy both functions  because both lines share a common point, that is, at that point values of f(x) and g(x) are equal. This point is (3.688, 6.256)

Table of values:

x             f(x)                                        g(x)

0             1.1(0)+2.2 = 2.2                    1.9(0)-0.75 = -0.75

1              1.1(1)+2.2 = 3.3                      1.9(1)-0.75 = 1.15

2             1.1(2)+2.2 = 4.4                     1.9(2)-0.75 = 3.05

3             1.1(3)+2.2 = 5.5                     1.9(3)-0.75 = 4.95

3.688     1.1(3.688)+2.2 = 6.256         1.9(3.688)-0.75 = 6.256

4             1.1(4)+2.2 = 6.6                     1.9(4)-0.75 = 6.85

there are 25 people coming to the party

step-by-step explanation:

the text says that there will be 22 children at this party, 1 teacher, and 2 parents. so if you add them all together (22+1+2) it will equal 25. (=25)

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: