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Blababa [14]
2 years ago
5

Factorise: 27x^3 - 1/216 -9/2x^2 +1/4x

Mathematics
1 answer:
g100num [7]2 years ago
7 0

Answer:

Hello,

Step-by-step explanation:

27x^3-\dfrac{9}{2}x^2+\dfrac{1}{4}x-\dfrac{1}{216}   \\\\=(3x)^3-3*(3x)^2*\dfrac{1}{6} +3*(3x)*(\dfrac{1}{6} )^2-(\dfrac{1}{6} )^3\\\\=\boxed{(3x-\dfrac{1}{6} )^3}

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If h (x) = -5x-7 then what is h (x-1) ?
goldenfox [79]

Answer:

h(x - 1) = -5x - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

Terms/Coefficients

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

h(x) = -5x - 7

<u>Step 2: Find</u>

  1. Substitute in <em>x </em>[Function h(x)]:                                                                          h(x - 1) = -5(x - 1) - 7
  2. [Distributive Property] Distribute -5:                                                                h(x - 1) = -5x + 5 - 7
  3. Combine like terms:                                                                                         h(x - 1) = -5x - 2
6 0
3 years ago
In an upcoming race, the top 3 finishers will be recognized with the same award. Ryan is one of 12 people entered in the race.
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Crank

Answer:

15 seconds

Step-by-step explanation:

How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.

First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)

Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15

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What’s the answer to this question???
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