To get minimized number of x steel bars, we differentiate the equation and then equate to zero:
d/dx (C(x) = 0.02x² – 3.4x + 150)
C'(x) = 0.02(2)x – 3.4 = 0
Solving for x
0.04x – 3.4 = 0
x = 85 steel bars
For minimum cost,
C(x = 85) = 0.02(85)² – 3.4(85) + 150 = 5.5 dollars
Answer:
A. QII.
Step-by-step explanation:
The tan < 0 in Quadrants 2 and 3.
The csc > 0 in Quadrants 1 and 2.
Answer:
x>-2
Step-by-step explanation:
Simplify both sides of the inequality.
4x+3>−5
Subtract 3 from both sides.
4x+3−3>−5−3
4x>−8
Divide both sides by 4.
4x/4>-8/4
Alright, from the graph, we know that Hannah's distance between hour 2 and hour 4 isn't uniform, so what we need to do is break the graph down a little.
When we break it down, we learn that Hannah's distance between hour 2 and hour 3 is decreasing because the y value decreases, and that Hannah's distance between hour 3 and hour 4 is increasing, because the y value starts increasing again.
Once we know that, all that's left is to match it up with the choices given. We can eliminate choices A and D because Hannah's distance between hour 2 and hour 4 isn't uniform, leaving us with B and C.
Between hours 2 and 3, we know that Hannah's distance is decreasing because the y value decreases, giving you your answer, which is C!
Nicely done by the on-line graphing calculator at desmos.com.
