Answer:
- Minimum 100 bicycles
- Minimum cost is 13500
Step-by-step explanation:
<u>Given function:</u>
- C(x) = 3x^2- 600x + 43500
a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
<u>Vertex of the given function is:</u>
b.
<u>Cost at vertex is:</u>
- C(100) = 3*100^2 - 600*100 + 43500 = 13500
The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)
The appropriate choice is
(C) (11, 32/3)
_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)
Answer:
1-2x>13
Step-by-step explanation:
1-2x>13
-2x>13-1
-2x>12
x>-12/2
x<-6
Answer:
"No Solution"
Step-by-step explanation:
We can use the log property shown below to simplify this:
Since no "base" is given, we take base as "10" and use property to write:
Now, we solve for x:
But we are NOT done. We have to take the value and put it into the equation to check if there is any NEGATIVE value, because we cannot take negative log.
Putting in LHS:
Log(2x - 7)
Log(2(-3) - 7)
Log(-6-7)
Log(-13)
This can't be solved. So x = -3 is not a solution. Thus, there is NO SOLUTION to the equation given.
