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Marat540 [252]
2 years ago
13

What is x^3−x^2−x+1 divided by x^2−2x+1 ?

Mathematics
2 answers:
Mars2501 [29]2 years ago
7 0

 

\displaystyle\bf\\x^3-x^2-x+1 = \\\\=x^2(x - 1) - (x - 1)= \\\\=(x - 1)(x^2 - 1) =\\\\= (x - 1)(x - 1)(x + 1) = \\\\=(x - 1)^2(x + 1) = \\\\(x^2 - 2x + 1)(x + 1)\\\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\\(x^2 - 2x + 1)(x + 1)~\vdots~(x^2 - 2x + 1)\\\\\implies~~x^3-x^2-x+1~~\text{ is divisible by }~~ x^2-2x+1 \\\\Verify:\\\\\frac{x^3-x^2-x+1}{x^2-2x+1}=\frac{(x^2 - 2x + 1)(x + 1)}{x^2-2x+1}=x+1



shutvik [7]2 years ago
5 0
X^3-x^2-x+1 divided by x^2-2x+1 equals x + 1
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Find the slope of the lines graphed below. <br> Giving brainliest to whoever answers all correct.
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Answer:

1.slope is 2

2.slope is -3/5

3.slope is 1

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6.horizontal line slope 0 undefined

Step-by-step explanation:

5 0
2 years ago
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Solve the system of linear equations -3x+5=13 and x+4y=-10
kari74 [83]

Answer:

(−8/3,−11/6)

Step-by-step explanation:

-3x+5=13 ; x+4y=-10

x=−8/3

and y=−11/6

6 0
3 years ago
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A total of 20 quarters and nickels add up to $4.00. How many nickels are there?
mariarad [96]

Answer:

5 nickels

Step-by-step explanation:

You can setup and solve a system of equations, or you can solve by trial and error until you get the correct answer.

Here is the solution by trial and error.

If all 20 coins are quarters, the value is 20 * $0.25 = $5

That is too much value.

Let's try 16 quarters. 16 quarters are worth 16 * $0.25 = $4.

That is the correct value, but it is only with quarters, and only 16 of them.

We need fewer quarters than 16.

Try 12 quarters: 12 * $0.25 = $3.00

The number of nickels is: 20 - 12 = 8

8 nickels are worth 8 * $0.05 = $0.40

12 quarters and 8 nickels are worth $3.00 + $0.40 = $3.40

There are 20 coins, but the value is too low.

The number of quarters is between 12 and 16.

Try 14 quarters and 6 nickels:

14 * $0.25 + 6 * $0.05 = $3.50 + $0.30 = $3.80

We are closer to $4 but not there yet.

Try 15 quarters and 5 nickels.

15 * $0.25 + 5 * $0.05 = $3.75 + $0.25 = $4

The total value is $4 and there are 20 coins. This is the answer.

15 quarters and 5 nickels works.

Answer: 5 nickels

8 0
3 years ago
A small city has three automobile dealerships: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincol
9966 [12]

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

Step-by-step explanation:

- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.

                             P (A & B) = P (B & C) = P (A & C) = 0

- In our case these events A,B, and C can be defined as:

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

4 0
3 years ago
PLEASE help asap if u know the answer!!!! quadratic functions:vertex form thank you!!!
SOVA2 [1]

Answer:

The answer to your question is: third option, it's a parabola

Step-by-step explanation:

f(x) = (x + 4)²

f(x) = x² + 4

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f(x) = x² - 4

6 0
3 years ago
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