Answer:
A) -15, 5, 2
Step-by-step explanation:
Answer:
![\boxed{\sf B. \ All \ real \ numbers}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20B.%20%5C%20All%20%5C%20real%20%5C%20numbers%7D)
Step-by-step explanation:
The domain is all possible values for x.
![f(x)=(\frac{1}{4} )^x](https://tex.z-dn.net/?f=f%28x%29%3D%28%5Cfrac%7B1%7D%7B4%7D%20%29%5Ex)
There are no restrictions on x.
The domain is all real numbers.
The second equation has 4x in it t. So to eliminate X, you need to multiply y = x-2 by -4, so the x would become -4x.
Answer:
![x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%2B%5Csqrt%7B31%7D%7D%7B2%7D%2C%5C%3Ax%3D%5Cfrac%7B1-%5Csqrt%7B31%7D%7D%7B2%7D)
Step-by-step explanation:
![-> 0=2x^2-2x-15](https://tex.z-dn.net/?f=-%3E%200%3D2x%5E2-2x-15)
-zeros means the solution aka x intercept, meaning y=0
![x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-%5Cleft%28-2%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-2%5Cright%29%5E2-4%5Ccdot%20%5C%3A2%5Cleft%28-15%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A2%7D)
=> according to quadratic formula
![x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where ![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
=> ![x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-%5Cleft%28-2%5Cright%29%5Cpm%20%5C%3A2%5Csqrt%7B31%7D%7D%7B2%5Ccdot%20%5C%3A2%7D)
simplify
![x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B-%5Cleft%28-2%5Cright%29%2B2%5Csqrt%7B31%7D%7D%7B2%5Ccdot%20%5C%3A2%7D%2C%5C%3Ax_2%3D%5Cfrac%7B-%5Cleft%28-2%5Cright%29-2%5Csqrt%7B31%7D%7D%7B2%5Ccdot%20%5C%3A2%7D)
![x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%2B%5Csqrt%7B31%7D%7D%7B2%7D%2C%5C%3Ax%3D%5Cfrac%7B1-%5Csqrt%7B31%7D%7D%7B2%7D)
Cannot simplify farther