What is 0.98989898 with bar notation

Step-by-step explanation:

We require to create 2 equations with the repeating value (0.989898... )

placed after the decimal point.

let x = 0.989898.... → (1) ( multiply both sides by 100 )

100x = 98.9898..... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

99x = 98 ( divide both sides by 99 )

x =

Thus

0.989898... = as an exact fraction

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

about 0.75 hours

step-by-step explanation: