Answer:
![-2(x-7)+(x+1)=5](https://tex.z-dn.net/?f=-2%28x-7%29%2B%28x%2B1%29%3D5)
Step-by-step explanation:
We can divide both sides by -2 to obtain
![-2(x-7)+(x+1)=5](https://tex.z-dn.net/?f=-2%28x-7%29%2B%28x%2B1%29%3D5)
Answer:
![\displaystyle x_1=-1+\sqrt{3}i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_1%3D-1%2B%5Csqrt%7B3%7Di)
![\displaystyle x_2=-1-\sqrt{3}i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_2%3D-1-%5Csqrt%7B3%7Di)
Step-by-step explanation:
<u>Second-Degree Equation</u>
The second-degree equation or quadratic equation has the general form
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
where a is non-zero.
There are many methods to solve the equation, one of the most-used is by using the solver formula:
![\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The equation of the question has the values: a=1, b=2, c=4, thus the values of x are
![\displaystyle x=\frac{-2\pm \sqrt{2^2-4\cdot 1\cdot 4}}{2\cdot 1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%5Cpm%20%5Csqrt%7B2%5E2-4%5Ccdot%201%5Ccdot%204%7D%7D%7B2%5Ccdot%201%7D)
![\displaystyle x=\frac{-2\pm \sqrt{-12}}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%5Cpm%20%5Csqrt%7B-12%7D%7D%7B2%7D)
Since the square root has a negative argument, both solutions for x are imaginary or complex. Simplifying the radical
![\displaystyle x=\frac{-2\pm 2\sqrt{-3}}{2}=-1\pm\sqrt{3}i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-2%5Cpm%202%5Csqrt%7B-3%7D%7D%7B2%7D%3D-1%5Cpm%5Csqrt%7B3%7Di)
The solutions are
![\displaystyle x_1=-1+\sqrt{3}i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_1%3D-1%2B%5Csqrt%7B3%7Di)
![\displaystyle x_2=-1-\sqrt{3}i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_2%3D-1-%5Csqrt%7B3%7Di)
The unit rate would be:
4 dollars for 1 steak
Answer:
12 heads to 15 tails
Step-by-step explanation:
Heads : Tails
12 : 15
4 : 5
Answer:
True
Step-by-step explanation: