Answer:
All three answers
Step-by-step explanation:
HAve a nice day!
<h2>
Answer:</h2>
Option: C is the correct answer.
C.) x = −3.8, 3
<h2>
Step-by-step explanation:</h2>
The function f(x) is given by:
![f(x)=x^2-x-12](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-x-12)
and the function g(x) is given by:
![g(x)=-1.8x-0.6](https://tex.z-dn.net/?f=g%28x%29%3D-1.8x-0.6)
Now, we are asked to find the solution of the equation:
![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
i.e. we have to find the value of x such that both the functions are equal i.e.
![x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0](https://tex.z-dn.net/?f=x%5E2-x-12%3D-1.8x-0.6%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cx%5E2-x%2B1.8x-12%2B0.6%3D0%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cx%5E2%2B0.8x-11.4%3D0%5C%5C%5C%5Ci.e.%5C%5C%5C%5C10x%5E2%2B8x-114%3D0%5C%5C%5C%5Ci.e.%5C%5C%5C%5C5x%5E2%2B4x-57%3D0)
Now, on solving the equation using the quadratic formula i.e. the solution of the equation:
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
is given by:
![x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Here we have:
![a=5,\ b=4\ and\ c=-57](https://tex.z-dn.net/?f=a%3D5%2C%5C%20b%3D4%5C%20and%5C%20c%3D-57)
Hence, the solution is given by:
![x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-4%5Cpm%20%5Csqrt%7B4%5E2-4%5Ctimes%205%5Ctimes%20%28-57%29%7D%7D%7B2%5Ctimes%205%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cx%3D%5Cdfrac%7B-4%5Cpm%20%5Csqrt%7B16%2B1140%7D%7D%7B10%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cx%3D-3.8%5C%20and%5C%20x%3D3)
M∠X= m∠Q Therefore the m∠X= 47°
Answer: 9.3 because it’s a decimal .
Step-by-step explanation: