Question

Please help me out with this please!!!!!!!!

Answer 1

B

Explanation:

Obtain the equations of both lines in slope- intercept form

Upper line

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0)

m =
`(0-3)/(4-0)` = -
`(3)/(4)` with c = 3

y = -
`(3)/(4)` x + 3 ← in slope- intercept form

Multiply through by 4

4y = - 3x + 12 ( add 3x to both sides )

3x + 4y = 12 → (1)

Lower line

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (5, 0)

m =
`(0+2)/(5-0)` =
`(2)/(5)` with c = - 2

y =
`(2)/(5)` x - 3 ← in slope- intercept form

Multiply through by 5

5y = 2x - 10 ( subtract 5y from both sides )

0 = 2x - 5y - 10 ( add 10 to both sides )

2x - 5y = 10 → (2)

The solution is the shaded area between the 2 lines, thus

3x + 4y ≤ 12

2x - 5y ≥ 10 → B

Answer 2

Answer: (A)

Explanation:

Graphing these equations gives you the the result on the graph.

Hope this helps!