16x²-102X=-36 How to write this in Vertex form
1 answer:
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Answer:
x = 13
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
x = = 13
Answer:
Part A
The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars is 1,670,000
Step-by-step explanation:
Part A
Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y
The cost to produce 'y' cars, C = 20·y + 1,000,00
The profit, 'P', from making and selling 'y' cars is given as follows;
P = R - C
∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00
An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;
0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars, (y = 30,000) is given as follows;
= 0.003·y² - 10·y - 1,000,000
= 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000
The profit made from selling 30,000 cars = 1,670,000.