<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>
Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get
f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24
So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5
<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5
The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.
So the final answer is C) 3
X+15 = 3x - 7 => 22 = 2x => x=11
Multiply the equation 2x+7y=-1 by -2
add to othe equaiton
4x-3y=-19
<u>-4x-14y=2 +</u>
0x-17y=-17
-17y=-17
divide both sides by -17
y=1
sub back
2x+7y=-1
2x+7(1)=-1
2x+7=-1
minus 7 from both sides
2x=-8
divide both sides by 2
x=-4
x=-4
y=1
(x,y) is normal form
(-4,1) is answer
Answer: Circumcenter
Step-by-step explanation: The circumcenter is the point where all perpendicular bisectors of a triangle meet. The 3 perpendicular bisectors of the 3 sides of the triangle meet at the point which is labeled in this triangle as H.
