The formula for an arithmetic sequence is shown below, where n = 1, 2, 3… F(n)=3n-9 What are the sixth, seventh, and eighth terms in the sequence? A. 6, 9, 12 B. 9, 10, 11 C. 15, 18, 21 D. 9, 12, 15

D: 9, 12, 15

Step-by-step explanation:

Okay, this one is a very simple and a not so hard question. I understand that teachers prefer kids to not lay out all the terms, but in this case, it won´t be horrible in doing so!

Were going to plug 6 into n, and that will make the formula look like,

F(6)=3(6)-9

18-9=9 so the 6th term is 9

Plug in 7=

F(7)=3(7)-9

21-9=12

The 7th term is 12

Plug in 8=

F(8)=3(8)-9

24-9=15  8th term is 15

That means terms 6, 7, and 8 are: 9, 12, 15

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

it has changed from the width and the height.

step-by-step explanation: