Answer:
Condition 1: y>0
Condition 2: x+y>-2
Step-by-step explanation:
We are told that we have a set of points in the Cartesian system (i.e. x-y coordinate), so we can define our point as:

We are given two conditions and we want to create a system of inequalities. Now, generally speaking, inequalities are expressions relating mathematical expressions through 'comparison' (i.e. less than, greater than, or less/greater and equal to) usually recognized by
,
,
and
, respectively.
So in our case let set up our inequalities.
Condition 1: the y-coordinate is positive
This can be mathematically translated as
(i.e.
is greater than 0, therefore positive)
Condition 2: the sum of the coordinates is more than -2
This can be mathematically translated as

(i.e. the summation of the two coordinates is greater than -2 but not equal to).
The system of inequalities described by the two conditions is:

15(4/5 x + 1/6)=15(8/3 x-2)
12x + 2.5 = 40x - 30
12x - 12x +2.5 = 40x - 12x - 30
2.5 = 28x - 30
2.5 + 30 = 28x - 30 + 30
32.5 = 28x
32.5/28 = 28x/28
x=9/56
Answer:
x = 4 units
Step-by-step explanation:
Data provided in the question:
c(x ) = 2x³ - 12x² + 23,000
Now,
For point of maxima or minima, differentiating the above equation with respect to number of items 'x'
c'(x) = 3(2x²) - 2(12x) + 0
or
c'(x) = 3(2x²) - 2(12x)
for point of maxima or minima put c'(x) = 0
Thus,
3(2x²) - 2(12x) = 0
or
6x² - 24x = 0
or
x² - 4x = 0
or
x(x - 4) = 0
or
x = 0 and, x = 4
Since,
The quantity cannot be zero
Therefore,
production level that will minimize the average cost of making x items is x = 4 units
3.78541 is how many liters in a gallon
Answer: 3. (d-5)x2
4. (I don't know)
5.(25+h)/f^3
Step-by-step explanation: