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musickatia [10]
3 years ago
10

A number is increased by 54. The sumos then divided by 9. The result is 21. Write an equation to represent the discription, use

n for the number
Mathematics
1 answer:
hram777 [196]3 years ago
6 0

Answer:

  (n+54)/9 = 21

Step-by-step explanation:

A number: n

Is increased by 54: n+54

The sum is divided by 9: (n +54)/9

and the result is 21:

  (n +54)/9 = 21

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Find the domain and range of the exponential function h(x) = 125 x
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Domain is all real numbers.
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Determine whether 81a2 − 25z6 is a difference of two squares. If so, factor it. If not, explain why.
aev [14]

81 a² - 25 z^{6} is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Step-by-step explanation:

The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs

  • a² - b² is a difference of two squares
  • a² - b² = (a + b)(a - b)

∵ The binomial is 81 a² - 25 z^{6}

∵ \sqrt{81} = 9

∵ \sqrt{a^{2} } = a

∴ \sqrt{81a^{2}}=9a

∵ \sqrt{25} = 5

∵ \sqrt{z^{6}} = z³

∴ \sqrt{25z^{6}}=5z^{3}

- The two terms have square root

∵ The sign between them is (-)

∴ 81 a² - 25 z^{6}  is a difference of two squares

∵ Its factorization is two identical brackets with different

   middle signs

∵ 81 a² = 9a × 9a

∵ 25 z^{6} = 5z³ × 5z³

- The terms of the two brackets are 9a and 5z³

∴ 81 a² - 25 z^{6} = (9a + 5z³)(9a - 5z³)

81 a² - 25 z^{6} is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Learn more:

You can learn more about the difference of two squares in brainly.com/question/1414397

#LearnwithBrainly

7 0
3 years ago
Find the volume. The numbers are 25 and 40
maksim [4K]

Answer:

Step-by-step explanation:

If you have a calculator do pie times radius squared times height. So basically pie times 25 squared times 40

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3 years ago
3 friends share the cost of a gift. The gift costs $70, but the store manager takes $10 off the market price. What amount should
My name is Ann [436]

Answer:

Amount each friend pays for the gift = $20

Step-by-step explanation:

Market price of a gift = $70

The store manager takes $10 off the market price.

Marked down amount = $10

New cost price = Marked price - Marked down amount =\$70-\$10=\$60

The cost of the gift is divided among three friends.

This means that the cost of gift which is $60 is divided by three to get each one's contribution in the gift.

∴ Amount each friend pays for the gift =\frac{60}{3}=\$20

4 0
3 years ago
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