2x+4y=12 ------>1
y=1/2x-3. ------->2
2 into 1
2x+4(1/2x-3)=12
2x+2x-12=12
4x-12-12=0
4x-24=0
4x=24
x=24/4
x=6 ------> 3
3 into 2
y=1/2x-3
y=1/2(6)-3
y/=0
sorry if Im wrong or my is incorrect
We know that
the equation of a parabola is of the form
y=a*(x-h)²+k--------> is a vertical parabola
(h,k) is the vertex
y=−14x²<span>+4x−19
</span><span>Factor the
leading coefficient </span>
y=-14*(x²-4/14x)-19
y=-14*(x²-2/7x)-19
<span>Complete
the square Remember to balance the equation </span>
y=-14*(x²-2/7x+(1/49)-(1/49))-19
y=-14*(x²-2/7x+(1/49))-19+14/49
<span>Rewrite as perfect squares</span>
y=-14*(x-1/7)²-917/49
the vertex of the parabola is
h=(1/7)-----> 0.1429
k=(-917/49)----> -18.7143
the vertex of the parabola is(0.1429, -18.7143)
see the attached figure
The answer is D I think, cause sum means plus and product means times