Answer:
x = 6
Step-by-step explanation:
20 = 7x + 2 - 4x
7x + 2 - 4x = 20 (switch the sides)
7x - 4x + 2 = 20 (group the like terms together)
3x + 2 = 20 (add similar numbers, in this case it's the both x's)
-2 -2 (subtract 2 on both sides)
------------------
3x = 18
/3 /3 (divide both sides by 3)
-------------------
x = 6
Answer:
6-positive
4-positive
2-positive
0-zero
-2-negative
-6-negative
8-positive
Step-by-step explanation:
Producing 73.8 units gives the lowest possible average cost.
The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:
AC = C(x) / x
AC = (0.2x³ – 24x² + 1514x +30064) / x
AC = 0.2x² - 24x + 1514 + 30064/x
The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:
AC' = 0.4x - 24 - 30064/x²
0.4x - 24 - 30064/x² = 0
0.4x³ - 24x² - 30064 = 0
Solving the cubic polynomial gives:
x = 73.8 units
Therefore the lowest possible average cost is when 73.8 units are produced.
Find out more at: brainly.com/question/20346871
Answer:
How do we calculate the area of this quadrilateral using the coordinates of the four vertices? The answer is simple. We divide the quadrilateral in two triangles (using either of the diagonals), calculate the (positive value of) the areas of each triangle, and add these values to obtain the total area.
Step-by-step explanation:
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