Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
The revenue is given by the product of the price and the demand function
- The revenue function for Sky Eagle is <u>RS = 229·PS - 0.60·PS² + 0.35·PS·PH</u>.
- The revenue function for Horizon is <u>RH = 269·PH + 0.10·PS·PH - 0.64·PH²</u>.
Reasons:
The given parameters are;
The demand function for the Sky Eagle, DS = 229 - 0.60·PS + 0.35·PH
The demand function for the Horizon, DH = 269 + 0.10·PS - 0.64·PH
The above demand functions gives the quantity demanded
Therefore, the revenue function is given by the product of the price and the demand function as follows;
RS = PS × DS = PS × (229 - 0.60·PS + 0.35·PH) = 229·PS - 0.60·PS² + 0.35·PS·PH
The revenue for Sky Eagle <u>RS = 229·PS - 0.60·PS² + 0.35·PS·PH</u>
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Revenue for Horizon is found as follows;
RH = PH ×(269 + 0.10·PS - 0.64·PH) = 269·PH + 0.10·PS·PH - 0.64·PH²
The revenue for Horizon, <u>RH = 269·PH + 0.10·PS·PH - 0.64·PH²</u>
Learn more demand function here:
brainly.com/question/16888880
Answer:
see attachment for answer.
Step-by-step explanation:
1/2x-y=4 and 2y=x+6 plot
3.14159265358979
That's more than 12 decimal places but it's all I remember off-by-heart.
Answer:
Step-by-step explanation:
the answer is irrational hope this helps
