Answer:
$9327
Step-by-step explanation:
Apparently, the cost function is supposed to be ...
C(x) = 0.4x^2 -112x +17167
This can be rewritten to vertex form as ...
C(x) = 0.4(x^2 -280) +17167
C(x) = 0.4(x -140)^2 +17167 -0.4(19600)
C(x) = 0.4(x -140)^2 +9327
The vertex of the cost function is ...
(x, C(x)) = (140, 9327)
The minimum unit cost is $9327.
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<em>Comment on the question</em>
You found the number of units that result in minimum cost (140 units), but you have to evaluate C(140) to find the minimum unit cost.
I think it’s 1,270.246376811594 :)
Answer:
x= -5
Step-by-step explanation:
-7x + 5(2x - 1) = -20
-7x + 10x - 5 = -20
3x -5 = -20
3x = -15
x = -5
Answer:
1. Three collinear points are R, X, and Q
2. Plane V is a quadrilateral
3. The three segments are PQ, RX, and XQ
4. The two rays are Xr and QS
5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ
Step-by-step explanation:
1. Collinear points are points that lie in or can be located on the same line
2) A quadrilateral is a four sided two-dimensional shape
3) A line segment is a line portion between two end points
4) A ray is a line with one end point that extends to infinity in a direction
5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.
The length of the line joining the center of the circle and each coordinate is equal.
Let the center of the circle be (a, b), then
(a - 10)^2 + (b - 3)^2 = (a - 3)^2 + (b - 10)^2 = (a + 4)^2 + (b - 3)^2
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 = a^2 + 8a + 16 + b^2 - 6b + 9
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 . . . (1)
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 + 8a + 16 + b^2 - 6b + 9 . . . (2)
From (1): 14a - 14b = 0 => a = b
From (2): 28a = 84 => a = 84/28 = 3
Therefore, center = (a, b) = (3, 3)
