It kind of looks like your missing something in you problem. But if f(x) = 3 is correct, then it doesn't matter what x is the answer is always going to be 3. So f(4.5) = 3. Most of the time though f(x) means a function of x, so there is an x in the problem. For example: f(x) = 3x, then f(4.5) = 3*4.5 = 13.5.
Are there choices? If there are, you should list them because there are some equivalents.
![\left[\begin{array}{cc}4&16\\12&3\end{array}\right] \\ \left[\begin{array}{cc}-68&16\\21&3\end{array}\right] = x \\ \left[\begin{array}{cc}4&-68\\12&21\end{array}\right] = y \\](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%2616%5C%5C12%263%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-68%2616%5C%5C21%263%5Cend%7Barray%7D%5Cright%5D%20%3D%20x%20%5C%5C%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-68%5C%5C12%2621%5Cend%7Barray%7D%5Cright%5D%20%3D%20y%20%5C%5C%20)
I'm assuming that you can solve these things. The top determinant comes to -180. The x value comes to - 540. When divided by the top one x = 3
The bottom determinant (y) comes to 900 and when divided by - 180 makes y = - 5. The checks out with actually solving the system of equations some other way.
Answer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A
The relation is not a function because the x repeats twice.