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Andreas93 [3]
3 years ago
12

Is xy/y^2 a polynomial

Mathematics
1 answer:
gladu [14]3 years ago
4 0
The expression simplifies to x/y, so the answer is no, it is not a polynomial. The fact that a variable is in the denominator means it's not a polynomial. 
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Step-by-step explanation:

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Which ordered pair makes both inequalities true?
tino4ka555 [31]

Answer:

The ordered pair (-1,1) make both inequalities true

Step-by-step explanation:

we have

y ------> inequality A

y > 2x-2 ------> inequality B

we know that

If a ordered pair satisfy both inequalities

then

the ordered pair is a solution of both inequalities

we're going to verify every case

<u>case A)</u> point (1,0)

Substitute the values of x and y in both inequalities

x=1, y=0

<u>Inequality A</u>

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therefore

The ordered pair (1,0) does not make both inequalities true

It's not necessary to verify the B inequality

<u>case B)</u> point (-1,1)

Substitute the values of x and y in both inequalities

x=-1, y=1

<u>Inequality A</u>

y

1

0 < 6 ------> is true

<u>Inequality B</u>

y > 2x-2

1 > 2*(-1)-2

1 > -4 ------> is true

therefore

The ordered pair (-1,1) make both inequalities true

<u>case C)</u> point (2,2)

Substitute the values of x and y in both inequalities

x=2, y=2

<u>Inequality A</u>

y

2

2 < -3 ------> is not true

therefore

The ordered pair (2,2) does not make both inequalities true

It's not necessary to verify the B inequality

<u>case D)</u> point (0,3)

Substitute the values of x and y in both inequalities

x=0, y=3

<u>Inequality A</u>

y

3

3 < 3 ------> is not true

therefore

The ordered pair  (0,3) does not make both inequalities true

It's not necessary to verify the B inequality


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Step-by-step explanation:

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