Write a rule for the arithmetic sequence. 5, 56, 107, 158, ...

A. A(n) = 5 + 51(n - 1)
B. A(n) = 5 + 51n
C. A(n) = 51 + 5(n - 1)
D. A(n) = 51 + 5n

please help

it's

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation: