<span>How many times does the quadratic function below intersect the x-axis?
</span>A. 2
Answer:
The equation in point-slope is 
Step-by-step explanation:
We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line 
The general form of point-slope is; 
where m is slope and
is the point
We need to calculate slope.
We are given equation of line
that is perpendicular to the required line.
The equation is given in slope-intercept form
where m is slope.
Comparing both equations we get m= -1/3
But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e 
<em>So, </em><em>slope of required line is m = 3 </em><em>(opposite reciprocal of -1/3)</em>
Now, the equation in point-slope form having slope m=3 and point (6,-5) is

So, The equation in point-slope is 
Answer:

Step-by-step explanation:
![2X-\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] =\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right]\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] +\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right])\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4+2&8-2\\2+8&-2+5\end{array}\right] )\\X=\frac{1}{2} (\left[\begin{array}{ccc}-2&6\\10&3\end{array}\right] )\\X= (\left[\begin{array}{ccc}\frac{1}{2}(-2)&\frac{1}{2}(6)\\\frac{1}{2}(10)&\frac{1}{2}(3)\end{array}\right] )\\](https://tex.z-dn.net/?f=2X-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%268%5C%5C2%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%5C%5C8%265%5Cend%7Barray%7D%5Cright%5D%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%268%5C%5C2%26-2%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%5C%5C8%265%5Cend%7Barray%7D%5Cright%5D%29%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%2B2%268-2%5C%5C2%2B8%26-2%2B5%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%266%5C%5C10%263%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5CX%3D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B2%7D%28-2%29%26%5Cfrac%7B1%7D%7B2%7D%286%29%5C%5C%5Cfrac%7B1%7D%7B2%7D%2810%29%26%5Cfrac%7B1%7D%7B2%7D%283%29%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5C)
![X= (\left[\begin{array}{ccc}-1&3\\5&3/2\end{array}\right] )](https://tex.z-dn.net/?f=X%3D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C5%263%2F2%5Cend%7Barray%7D%5Cright%5D%20%29)

Function 1
Domain- all real numbers
Root: (3,0)
Range: all real numbers
Vertical intercept: (0,6)
Function 2
Root: (8,0)
Range: all real numbers
Vertical intercept: (0,6)
Domain: all real numbers
Solution:(4,-2)
(X,y)
This is what I got hope it helps!