Asystem of linear inequalities is shown below:

y − x > 0
y − 1 > 0

which of the following graphs best represents the solution set to this system of linear inequalities?

A system of linear inequalities is shown below:

y − x > 0---------(1)

y − 1 > 0---------(2)

we will make a dashed line,

y-x=0

y=x

and the shaded region will be above the line since this inequality could also be represented as:

y>x

so, the points above the line have y-value greater than x values.

y-1=0

i.e. y=1

The line will be dashed as the inequality is strict also the line is horizontal and the shaded region will be above the line as the inequality is:

y>1

so, it does not satisfy zero point test.

i.e. on putting (0,0) in the inequality the inequality holds false.

The graph is attached to the answer.

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.