Answer:
It is quadratic.
The constant term is:-12
Step-by-step explanation:
1. You can apply the Distributive Property of multiplication, as following:
![f(x)=(3x-6)(-4x+2)\\f(x)=(3x)(-4x)+(3x)(2)+(-6)(-4x)+(-6)(2)\\f(x)=-12x^{2}+6x+24x-12\\f(x)=12x^{2}+30x-12](https://tex.z-dn.net/?f=f%28x%29%3D%283x-6%29%28-4x%2B2%29%5C%5Cf%28x%29%3D%283x%29%28-4x%29%2B%283x%29%282%29%2B%28-6%29%28-4x%29%2B%28-6%29%282%29%5C%5Cf%28x%29%3D-12x%5E%7B2%7D%2B6x%2B24x-12%5C%5Cf%28x%29%3D12x%5E%7B2%7D%2B30x-12)
2. The function has the form:
![f(x)=ax^{2}+bx+c](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E%7B2%7D%2Bbx%2Bc)
Therefore, it is a quadratic function, where
is the constant term.
3. Therefore, the constant term is -12
When two events<span> are said to be </span>independent<span> of each other, what this means is that the </span>probability<span> that one </span>event<span> occurs in no way affects the </span>probability<span> of the other </span>event<span> occurring. An example of two </span>independent events<span> is as follows; say you rolled a die and flipped a coin</span>
5x + 5 = 4x + 10
5x - 4x = 10 - 5
x = 5
Answer:
Option (D)
Step-by-step explanation:
In the given triangle ABC,
Sum of all interior angles = 180°
m∠A + m∠B + m∠C = 180°
72° + 85° + m∠C = 180°
m∠C = 180 - 157
m∠C = 23°
By applying Sine rule in the triangle,
![\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSinA%7D%7D%7Ba%7D%3D%5Cfrac%7B%5Ctext%7BSinB%7D%7D%7Bb%7D%3D%5Cfrac%7B%5Ctext%7BSinC%7D%7D%7Bc%7D)
![\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=\frac{\text{Sin23}}{6.2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin72%7D%7D%7Ba%7D%3D%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7Bb%7D%3D%5Cfrac%7B%5Ctext%7BSin23%7D%7D%7B6.2%7D)
![\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=0.06302](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin72%7D%7D%7Ba%7D%3D%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7Bb%7D%3D0.06302)
![\frac{\text{Sin72}}{a}=0.06302](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin72%7D%7D%7Ba%7D%3D0.06302)
a =
= 15.09
![\frac{\text{Sin85}}{b}=0.06302](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7Bb%7D%3D0.06302)
b = ![\frac{\text{Sin85}}{0.06302}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7B0.06302%7D)
b = 15.81
Therefore, option (D) will be the answer.