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3 years ago

How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated

Mathematics

1 answer:

olga55 [171]3 years ago

7 0

<h3>Answer: 625</h3>

Work Shown:

The set {A,B,C,1,2} has five items. There are four slots to fill.

So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.

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Which term could be put in the blank to create a fully simplified polynomial written in standard form?

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Correct Question:

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

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Options

$x^2y^2$ $x^3y^3$ $7xy^2$ $7x^0y^3$

Answer:

$x^2y^2$

Step-by-step explanation:

Given

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

Required

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$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.

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From the list of given options, only $x^2y^2$ can be used to complete the polynomial.

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$8x^3y^2 -x^2y^2+ 3xy^2 - 4y3$

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