For a direct variation, f(x) = kx. Therefore, for f(x) = 30x, constant of variation (k) = 30.
X / (-4) + ( -63) = -45 <=> x / ( -4) = 63 - 45 <=> x / (-4) = 18 <=> x = 18 * (-4) <=> x = -72.
You have to say what or where point B and C is for me to answer it
You have to get the x to one side so you'll subtract 3x from -6x and 3x from 3x, the 3x will cancel out and -6x - 3x is -9x-7=11, you have to add 7 from both sides the 7+7 cancels out and also add 11+7 which leaves -9x=18, you have to divide -9x/-9 and do 18/-9, which gets you x=-2. Here's the work shown if you didn't what i said...
-6x-7=3x+11
-3x -3x
-9x-7=11
+7 +7
-9x=18
-9 -9
x=-2
The vertex is (3,0).
The 3 inside the abs val bar tells you the x value of the vertex is 3. No number outside the abs value bar is a +0 which is the y value of the vertex.