Etsy has become an extremely popular site where locals can sell homemade items. Sam creates custom dice trays in about 4 hours that includes custom leather colors, boarders and logos. Sams wife Xenia can also create these custom trays but she takes 6 hours to complete one. If both Sam and Xenia decide to work on a custom dice tray together how long would it take them to complete it working as a team? Create a rational equation and solve it making sure to show ALL of your work.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

b is the correct answer

σк тнє αиѕωєя ιѕ (α.)

нσρє ι ¢συℓ∂ нєℓρ υ