The answer i got is 3.5 rounded
If you triple the ginger, to be able to keep proportion, you would need triple the nutmeg as well.
Last one
Because you have to substitute it
So you do X times 2 - 16 = 0
And the only X that works is the last one cause 8 X 2 = 16 and 16 -16=0
Answer: ![0=2x^2-7x-9\\0=4x^2-3x-1\\0=x^2-2x-8](https://tex.z-dn.net/?f=0%3D2x%5E2-7x-9%5C%5C0%3D4x%5E2-3x-1%5C%5C0%3Dx%5E2-2x-8)
Step-by-step explanation:
We know that the standard quadratic equation is ax^2+bx+c=0
Let's compare all the given equation to it and , find discriminant.
1. a=2, b= -7, c=-9
So it has 2 real number solutions.
2. a=1, b=-4, c=4
![b^2-4ac=(-4)^2-4(1)(4)=16-16=0](https://tex.z-dn.net/?f=b%5E2-4ac%3D%28-4%29%5E2-4%281%29%284%29%3D16-16%3D0)
So it has only 1 real number solution.
3. a=4, b=-3, c=-1
![b^2-4ac=(-3)^2-4(4)(-1)=9+16=25>0](https://tex.z-dn.net/?f=b%5E2-4ac%3D%28-3%29%5E2-4%284%29%28-1%29%3D9%2B16%3D25%3E0)
So it has 2 real number solutions.
4. a=1, b=-2, c=-8
So it has 2 real number solutions.
5. a=3, b=5, c=3
![b^2-4ac=(5)^2-4(3)(3)=25-36=-9](https://tex.z-dn.net/?f=b%5E2-4ac%3D%285%29%5E2-4%283%29%283%29%3D25-36%3D-9%3C0)
Thus it does not has real solutions.