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Umnica [9.8K]
3 years ago
14

Write as a product of two polynomials: (x-y)^2-a(y-x)

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

(x - y)(x - y + a)

Step-by-step explanation:

(x-y)^2-a(y-x) \\  \\  = (x-y)^2 + a(x - y) \\  \\ =  (x - y) \{(x - y) + a \} \\  \\ =  (x - y)(x - y + a)

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From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25
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Answer:

The total value the U.S. imported and exported is 19364 billion dollars

Step-by-step explanation:

* Lets explain how to solve the problem

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# x is the number of years after 2008

# E(x) is the value of exports in billions of dollars

- The yearly value of U.S. imports can be modeled by the function

 I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6

# x is the number of years after 2008

# I(x) is the value of imports in billions of dollars

* We need to calculate the total value the U.S. imported and

 exported in 2012

∵ x is the number of years after 2008

∴ At 2012 x = 4 years

- Lets calculate the value of the exports in 2012

∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8

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∴ The total value = 8484.6 + 10879.2 = 19363.8

∴ The total value = 19364 billion dollars

* The total value the U.S. imported and exported is 19364 billion dollars

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