Y = (x2 - 2x + 1) y = (x - 1)(x - 1)
Prove that the following functions are equivalent through algebraic and numerical proof

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!

Fraction of water in squash = 1/8

Step-by-step explanation:

Given data:

The total volume of squash = 400 ml

The water in squash = 50 ml

Fraction of water in drink = ?

Solution:

Fraction of water in drink = The water in squash/ Total volume of squash

By putting values in equation:

Fraction of water in drink = 50/400 = 1/8

Conclusion:

Hence the fraction of water in drink is equal to volume of water in total volume of drink which is 400 ml. Water is only 50 ml. So the fraction of water will be 1/8.