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lilavasa [31]
3 years ago
6

What is the rule when finding the sum of numbers from 1-100?

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

Step-by-step explanation:

Sum of 1 through 100 = 100×(1+100)/2

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Factor the expression: x^6-729. Show your work Please.
Brut [27]

Answer:

  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

<u><em>Use of formulas:</em></u>

  • <em>a^2 - b^2 = (a + b)(a -b)</em>
  • <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
  • <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>

<u>Given the expression: </u>

  • x^6-729

<u>Factoring 729</u>

  • 729 = 3*3*3*3*3*3 = 3^6

<u>Factoring the expression </u>

  • x^6 - 3^6 =
  • (x^3)^2 - (3^3)^2 =
  • (x^3 + 3^3)(x^3 - 3^3) =
  • (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
7 0
3 years ago
The shop declare a discount of 20% and later a discount of 15% after
Zolol [24]
Let, the original amount = x
First discount = x * 0.20 = 0.20x

Amount after first discount = x - 0.20x = 0.80x
Second discount = 0.80x * 0.15 = 0.12x

Amount after second discount = 0.80x - 0.12x = 0.68x
Difference would be: x-0.68x = 0.32x

So, Your Answer would be 32%

Hope this helps!
8 0
3 years ago
A farmer had a farm with animals.
Gnom [1K]

Answer: Part B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write a quadratic equation with the solutions 3 and 2
jolli1 [7]
We can re-create the quadratic equation by
(x -3) * (x -2)
x^2 -5x + 6 = 0


8 0
3 years ago
Benito made punch with 26 ounces of grape juice, 38 ounces of apple juice, and 52 ounces of lemon sparkling water. Then he made
natita [175]
  26
  38
+52
---------
  116

Add all of the numbers because they are like-terms (because they are all ounces)

he made 8 ounce servings, so    116/8 = 14.5  there are 4 ounces left
6 0
3 years ago
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