4 years ago

Factor x^4 -4x^3 -4x^2 +36x-45

Mathematics

1 answer:

Makovka662 [10]4 years ago

3 0

Factor x^4 -4x^3 -4x^2 +36x-45

Answer:

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Find the reminder of the division <br> (8^33):6

Arturiano [62]

Answer:

The remainder is 2.

Step-by-step explanation:

Use modular arithmetic.

If the remainder is x then 8^33 mod 6 = x.

8^3 = 512 = 2 mod 6

8^6 = (8^3 * 8^3) mod 6 = (2*2) mod 6 = 4 mod 6

8^30 mod 6 = (8^6)^5 mod 6 = 4^5 mod 6 = 1024 mod 6

= 4 mod 6.

Finally 8^33 mod 6 = (8^3 * 8^30) mod 6 = (2 * 4) mod 6

= 8 mod 6 = 2.

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3 years ago

Select the correct answer.

Iteru [2.4K]

Option A: 6x^2+75x+200 is the correct answer

Step-by-step explanation:

The profit is obtained by subtracting the cost from the revenue.

Given

$R(x) = 6x^2+100x+300\\C(x) = 25x+100$

The Profit function will be obtained by subtracting the cost function from the revenue function

So,

$P(x) = R(x) - C(x)\\= (6x^2+100x+300)-(25x+100)\\=6x^2+100x+300-25x-100\\=6x^2+100x-25x+300-100\\P(x)=6x^2+75x+200$

Hence,

Option A: 6x^2+75x+200 is the correct answer

Keywords: Functions, function operations

Learn more about functions at:

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3 years ago

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3 years ago

Solve the equation. 15 1/2 - 5 1/8 = p *

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Step-by-step explanation:

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A spherical ball has a radius of 9 feet,What is the volume, in cubic feet, of the ball? Round your answer to the nearest hundred

Illusion [34]

Answer:

972pi

Step-by-step explanation

Equation of sphere volume = 4/3pir^3

4/3*9^3*pi = 972pi

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3 years ago