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mihalych1998 [28]
2 years ago
12

Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)​

Mathematics
2 answers:
Mashutka [201]2 years ago
6 0

Answer:

  • 18u + 2 + 5/(u - 8)

Step-by-step explanation:

  • (18u^2 - 142u - 11) ÷ (u - 8)​

  • 18u^2 - 142u - 11 =
  • 18u^2 - 8*18u + 2u - 11 =
  • 18u(u - 8) + 2u - 16 + 5 =
  • 18u(u - 8) + 2(u - 8) + 5 =
  • (18u + 2)(u - 8) + 5

  • (18u^2 - 142u - 11) ÷ (u - 8)​  = 18u + 2 + 5/(u - 8)
stich3 [128]2 years ago
5 0

Answer:

18u + 2 + 5/u - 8.

Step-by-step explanation:

(18u^2 - 142u - 11) ÷ (u - 8)

= 18u + 2 + 5/u - 8.

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Pete and Marsha are going to buy a swimming pool. Mike wants a rectangular one that is 18 feet wide, 20 feet long, and 6 feet de
maks197457 [2]

Answer:

The pool that they buy is the circular pool which Marsha wants

The cost of the circular pool is $471.25

Step-by-step explanation:

The parameters of the swimming pools which each of Pete and Marsha wants to buy is given as follows;

The dimensions of the pool Pete wants = 18 feet wide, 20 feet long and 6 feet deep

The dimensions of the circle shaped pool Marsha wants = 20 feet across and 6 feet deep

The price of water, P = 25 cents per cubic foot

The pool they decide to buy = The pool that costs less to fill

The volume of water to fill the pool Pete wants, V₁ = 18 ft. × 20 ft. × 6 ft. = 2,160 ft.³

The cost of filling the pool Pete wants, C₁ = V₁ × P

∴ C₁ = 2,160 ft.³ × 25cents/ft.³ = 54,000 cents = 540 Dollars

The volume of water to fill the pool Marsha wants, V₂ = π·(20 ft.)²/4 × 6 ft. ≈ 1,884.96 ft.³

The cost of filling the pool Marsha wants, C₁ = V₁ × P

∴ C₁ ≈ 1,884.96 ft.³ × 25 cents/ft.³ ≈ 47,124 cents = 471.24 Dollars

The pool that they buy is the circular pool that Marsha wants and it costs $471.24 to fill

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Answer:

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Step-by-step explanation:

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