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Debora [2.8K]
2 years ago
14

The question is in the picture ​

Mathematics
2 answers:
Nesterboy [21]2 years ago
7 0

Answer:

  1. 5^2 = 25
  2. 5^{-2} = \frac{1}{25}
  3. (-5)^{2} = 25
  4. -5^{2}  =-25
sergiy2304 [10]2 years ago
5 0

Solution:

<u>We know the following rules:</u>

  • Rule: If an exponent is negative, it will be in the fraction 1/nˣ.
  • Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.
  • Rule: if a number's exponent is 0, then the number is 1.

<u>Now, let's solve each problem.</u>

  • 5² = 5 x 5 = 25
  • 5⁻² = 1²/5² = 1/25
  • (-5)² = (-5) x (-5) = 25
  • -5² = -(5²) = -(25) = -25

Learn more about exponents: <u>brainly.com/question/26553706</u>

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The polynomial that has a GCF of 7m is 14mn - 21m + 49m²n + 7mn²

The polynomial that has a GCF of 2ab² is 6a²b² - 8ab³ + 4a³b² + 2a³b³

<h3>Writing Polynomials </h3>

From the question, we are to write a polynomial that has a GCF of 7m

That is,

We are to write a polynomial that has a greatest common factor of 7m

<em>Writing the polynomial</em>

14mn - 21m + 49m²n + 7mn²

The  polynomial above has a greatest common factor of 7m. That is, 7m is the greatest factor that can divide each of the terms

We are to write a polynomial with a GCF of 2ab²

<em />

<em>Writing the polynomial</em>

6a²b² - 8ab³ + 4a³b² + 2a³b³

The polynomial above has a greatest common factor of 2ab². That is, 2ab² is the greatest factor that can divide each of the terms

Hence,

The polynomial that has a GCF of 7m is 14mn - 21m + 49m²n + 7mn²

The polynomial that has a GCF of 2ab² is 6a²b² - 8ab³ + 4a³b² + 2a³b³

Learn more on Writing polynomials here: brainly.com/question/4525973

#SPJ1

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1 year ago
Jeremiah received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14
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Jeremiah got $65 on birthday and spent some money on 3 video games and was left with $14.

He purchased 3 video games.

Let the cost one one video game be v.

The cost of each video game is same

So the cost of 3 video games is 3v.

Also he is left with $14 after paying for three games.

Hence

3v + 14 = 65

Subtracting 14 from both sides

3v + 14 -14 = 65-14

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7nadin3 [17]

Chapter : Linear equations

Lesson : Math for Junior High School

7x + 14y = 28

if want to find x and y, we must substitution value 0 to the equation x and y :

# If x = 0, then :

7x + 14y = 28

= 7(0) + 14y = 28

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# If y = 0, then :

7x + 14y = 28

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and that result was proven x = 4 and y = 2

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