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Triss [41]
3 years ago
9

Y = (x2 - 2x + 1)

Mathematics
2 answers:
sleet_krkn [62]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

y = (x² - 2x + 1)

y = (x - 1)(x - 1)

First, recognize that the first equation is fully simplified/expanded already.

Now, we should solve for the second equation.

FOIL the expressions: first–outer–inner–last

(x - 1)(x - 1)

F: x²

O: -x

I: -x

L: 1

Combine these terms.

x² - x - x + 1

x² - 2x + 1

Notice that this equation is identical to our first equation. Therefore, the functions are equivalent.

Hope this helps!

vagabundo [1.1K]3 years ago
3 0

y = (x^2 - 2x + 1)

y = (x - 1)(x - 1)

Algebraic Proof

FOIL y = (x - 1)(x - 1)

y = (x - 1) (x -1 ) = x^2 -2x + 1

Done.

Numeric Proof

Let x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = 2 + 2

y = 0

Let x be 1 again.

y = (x - 1)(x - 1)

y = (1 - 1)(1 - 1)

y = 0

There you have it. Both equations are the same.

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10% of the passengers on a fly with us airlines flight are in first class. If there are 40 passengers in first class, how many t
MissTica

Answer:

400 passengers

Step-by-step explanation:

To solve the problem, a proportion would be best!

First, let's set up the left side of the proportion. Percents, when used in parts, are always part of 100%, making 100% a whole. We'll use both 10% and 100% as our first fraction, which should look something like this:

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Next, let's set up the right side of our proportion. We'll use the 40 for our part and x for our whole since that is the number we are solving for. The proportion should now look like this:

\frac{10p}{100w} = \frac{40p}{x}

To solve, just cross multiply and divide! Multiply 40 by 100 to give you 4,000. Next, divide 4,000 by the remaining 10 to give you a final answer of 400. If 40 passengers on the flight are in first class, then there are 400 total passengers. Hope this helps!

7 0
3 years ago
Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.
kiruha [24]

For the mode to be 6, there has to be at least two 6s.

For the median to be 6, with two 6s, there must be at least one number above 6.

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Read 2 more answers
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