Answer: (A)
Step-by-step explanation:
Graphing these equations gives you the the result on the graph.
Hope this helps!
Answer:
B
Step-by-step 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 = [tex]\frac{0-3}{4-0}[/tex] = - [tex]\frac{3}{4}[/tex] with c = 3
y = - [tex]\frac{3}{4}[/tex] 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 = [tex]\frac{0+2}{5-0}[/tex] = [tex]\frac{2}{5}[/tex] with c = - 2
y = [tex]\frac{2}{5}[/tex] 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
