Let she work for x hours as carpenter !
so earned money = 20x
and for blacksmith she must work for 30-x hours
so earned money = (30-x) ×25
so putting in eqn;
20x+25(30-x) = 690
so, x= 60/5 = 12
so she works for carpenter for 12 hrs and 30-12= 18 hrs for blacksmith
4x+2y=12
2y=-4x+12
y=-2x+6
The slope of the line is -2
Vertex = -b/2a = -(44)/2(-1) = -44/-2 = 22
To find the x-intercepts, set the function equal to 0 and solve for x