Given:
Roots:
![\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-3%2B%5Csqrt%5B%5D%7B6%7D%20%5C%5C%20-3-%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Point: (-1,4)
To determine the equation of the parabola with the given roots and point, we find the missing values first.
Since the roots are given, we can say that the equation is:
![y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})](https://tex.z-dn.net/?f=y%3Da%28x%2B3-%5Csqrt%5B%5D%7B6%7D%29%28x%2B3%2B%5Csqrt%5B%5D%7B6%7D%29)
Next, we expand the terms.

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

So,
Answer: k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add two to both sides
7k ≥ -7
k ≥ -1
You have to turn the percent into a decimal to do the math.
80 * .40 = 32 (That's the discount.) Now we subtract the orginal price from this.
80 - 32 = 48
Now we need to find the tax value.
48 (our new price) * .0675 = $3.24
Add this back onto the price to get our final price.
3.24 + 48 = $51.24
Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :

General equation of hyperbola is :

Hence, this is the required solution.
y+3=x+1 is the equation and all the numbers represent ordered pairs to graph. (2,1)(3,4)(4,7)(5,10)