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melamori03 [73]
2 years ago
9

(y - 2)2 = y2 – 6y + 4 Is this statement true or false?

Mathematics
2 answers:
Norma-Jean [14]2 years ago
8 0
It is false. Expand the left term, then check if both sides are equal
trasher [3.6K]2 years ago
6 0
<h3>Answer: False</h3>

==============================================

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

--------------------------

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

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7 0
2 years ago
Solve x^4 y^4=706 given x y=8.........
lapo4ka [179]
<span>Maybe xy is also given ........................</span>
4 0
3 years ago
Write a number with two decimals places that is bigger than 4 1/5 but smaller then 4.25 (Could u explain so i can actually under
zubka84 [21]
<u>The possible answers are:
</u>
<u /><u /><u><em /></u>4.21
4.22
4.23
4.24

Explanation:
We want a number between 4 1/5 and 4.25.  We will convert 4 1/5 to a decimal first:

Divide 1 by 5:  1/5 = 0.2.

This makes 4 1/5 = 4 + 1/5 = 4 + 0.2 = 4.2.

We want a number between 4.2, which can be written as 4.20, and 4.25.  Any number between will do, so the possible answers would be 
4.21, 4.22, 4.23, or 4.24.<u />
7 0
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Read 2 more answers
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