3x^2 -6x + 6 :) hope this is alright
-6/5 is the slope. you start at point (0,0) and then move down 6 units and to the right 5 units and then create one point. from that point, go down 6 units and to the right 5 units and repeat. when you reach the bottom of the graph stop. go back to (0,0) and then move up 6 units and to the left 5 units. connect the points with a ruler and add arrows to each side. label your line with "y=-6/5x" on the line
Given

To obtain the minimum value of y, we first take the derivative of y
The derivative of y is:

Equating

gives the minimum value we require.
Doing that, we have:

So that

Therefore, the minimum value is x = 3
Hi there!
You would have to simplify the terms inside [ ] this thing, then multiply.
So let's simplify them first.
4 - (3c - 1)
use distributive property.....
4 - 3c + 1
-3c + 5
6 - (3c - 1)
use distributive property again...
6 - 3c + 1
-3c + 7
so now, multiply (-3c + 5)(-3c + 7).
(-3c + 5)(-3c + 7)
9c² - 21c - 15c + 35
9c² - 36c + 35
So your final answer is...
9c² - 36c + 35
Hope this helped! :)