The equation of the demand function is D(x) = 1400√(25-x²) + 11400
<h3>How to determine the demand function?</h3>
From the question, we have the following parameters that can be used in our computation:
Marginal demand function, D'(x) = -1400x÷√25-x²
Also, we have
D = 17000, when the value of x = 3
To start with, we need to integrate the marginal demand function, D'(x)
So, we have the following representation
D(x) = 1400√(25-x²) + C
Recall that
D = 17000 at x = 3
So, we have
17000 = 1400√(25-3²) + C
Evaluate
17000 = 5600 + C
Solve for C
C = 17000 - 5600
So, we have
C = 11400
Substitute C = 11400 in D(x) = 1400√(25-x²) + C
D(x) = 1400√(25-x²) + 11400
Hence, the function is D(x) = 1400√(25-x²) + 11400
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The triangle pay $32 more for that day than it paid per day during the first period of time.
Step-by-step explanation:
The given is,
Triangle Construction pays Square Insurance $5,980
To insure a construction site for 92 days
To extend the insurance beyond the 92 days costs $97 per day
Triangle extends the insurance by 1 day
Step:1
Insurance per day from the 92 days period,

Where, Total insurance for 92 days = $ 5,980
Period = 92 days
From the values, equation becomes,

= $ 65 per day
Step:2
Insurance per day after the 92 days,
= $ 97
Amount Pay for that day than it paid per day during the first period of time,

= $32
Result:
The triangle pay $32 more for that day than it paid per day during the first period of time, if the Triangle Construction pays Square Insurance $5,980
to insure a construction site for 92 days and to extend the insurance beyond the 92 days costs $97 per day.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
(x - 4)² + y² = 16
Step 02:
polar form:
x = r cos (θ)
y = r sin (θ)
(r cos (θ) - 4 )² + (r sin (θ))² = 16
(r cos θ - 4)² + r² sin² θ = 16
r (r - 8 cos (θ)) = 0
r = 8 cos θ
The answer is:
r = 8 cos θ
Answer:
Factor 3y23y2 out of 3y33y3.
3y2(y)−9y23y2(y)-9y2
Factor 3y23y2 out of −9y2-9y2.
3y2(y)+3y2(−3)3y2(y)+3y2(-3)
Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).
3y2(y−3)
Step-by-step explanation:
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Answer:
x = -1, PR = 38.
Step-by-step explanation:
As Q is the midpoint of PR
PQ = QR
6x + 25 = 16 - 3x
9x = -9
x = -1.
PR
= 6x + 25 + 16 - 3x
= 6(-1) + 25 + 16 - 3(-1)
= -6 + 25 + 16 + 3
= 38.