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stiv31 [10]
3 years ago
13

Factorise the following expressions m²-9n²​

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Answer:

(m - 3n)(m + 3n).

Step-by-step explanation:

This is the difference of 2 squares, so we use the identity:

a^2 - b^2 = (a - b)(a + b).

So m^2 - 9n^2

(m - 3n)(m + 3n).

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If you need an explanation, let me know. Hope this helps!!

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Answer:

  1. the range of f^-1(x) is {10, 20, 30}.

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Step-by-step explanation:

1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.

__

2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).

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3. The n-th term of an arithmetic sequence is given by ...

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You are given a1 = 2, a12 = 211, so ...

  211 = 2 + d(12 -1)

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Now, we can use the same equation to find n for an = 135.

  135 = 2 + 19(n -1)

  133/19 = n -1 . . . . . . . subtract 2, divide by 19

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135 is the 8th term of the sequence.

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