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barxatty [35]
3 years ago
9

The difference of two number is 1. Their sum is 11. Find the numbers

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0

Answer:

<h3>               5 and 6</h3>

Step-by-step explanation:

a - first number (the smaller one)

b - second (the larger one)

The difference of two number is 1, so:  

b - a = 1    ⇒  b = a + 1

Their sum is 11, so:

a + b = 11

a + (a + 1) = 11

a + a + 1 -1 = 11 -1

2a  = 10    ⇒   a = 5

b = a + 1 = 5 + 1 = 6

evablogger [386]3 years ago
5 0
I think the answer is 6 and 5 because 6+5=11 and 6-5=1
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Write a polynomial function of the least degree that has roots of 3 and (4 + i).
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Answer:

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Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

<u>The polynomial is:</u>

  • (x - 3)(x - (4 + i))(x - (4 + i)) =
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  • (x - 3)(x² - 8x + 17) =
  • x³ - 8x² + 17x - 3x² + 24x - 51 =
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3 years ago
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I did this really quick so I hope all the answers are right, and double check them if you have time just in case

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Read 2 more answers
Anthony has two cube-shaped pots with an interior edge length of 8 inches and two cube-shaped pots with an interior edge length
weqwewe [10]

He will have left 154.75 inches³ after he fills each pot full of soil

Step-by-step explanation:

The formula of the volume of a cube is V = s³, where s is the length of its side.

Remember:

  • 1 foot 12 inches
  • 1 foot² = (12)² inches² = 144 inches²
  • 1 foot³ = (12)³ inches³ = 1728 inches³

∵ Anthony has two cube-shaped pots with an interior edge

  length of 8 inches

∴ s = 8

- use the formula of the volume

∴ The volume of each pot = (8)³ = 512 inches³

∴ The volume of the two pots = 512 × 2 = 1024 inches³

∵ He has another two cube-shaped pots with an interior edge

  length of 6.5 inches

∴ s = 6.5

∴ The volume of each pot = (6.5)³ = 274.625 inches³

∴ The volume of the two pots = 274.625 × 2 = 549.25 inches³

∵ He wants to fill each pot full of potting soil

- The volume of soil he uses to fill the 4 pots is equal the volume

  of the four pots

∵ The total volume of pots = 1024 + 549.25 = 1573.25 inches³

∴ The total soil he uses = 1573.25 inches³

∵ His bag of potting soil is one cubic foot

∵ 1 cubic feet = 1728 cubic inches

- To find the quantity of soil he not used subtract the total volume

    of the 4 pots from the volume of the soil in his bag

∴ The soil he will left = 1728 - 1573.25 = 154.75 inches³

He will have left 154.75 inches³ after he fills each pot full of soil

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0
3 years ago
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