2x+5y< 10 x-y< 5 graph the solution of the system of inequalities

Purple region of the attached graph.

Step-by-step explanation:

First, we are replacing the inequality symbol (<) by an equality symbol (=) and solve for to find the line boundaries of each inequality:

For

For

Now, since both inequalities have the symbol (<), the lines and are dotted lines. The solution of the system of inequalities is the shaded region bounded by the two lines. Notice that since the line are dotted, no solution of the inequality lie in any of the lines themselves.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.