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Gnoma [55]
3 years ago
12

Given the function f(x)=-12x+7 and g(x)=4x-9, find the set of values of x such that f(x)=g(x). Justify your solution by using th

e properties of equality.
Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Hey there!!

We have:

... f(x) = -12x + 7

... g(x) = 4x - 9

<em>Now, we will have to find f(x) = g(x)</em>

... f(x) = g(x)

<em>... </em>-12x + 7 = 4x - 9

<em>... </em>9 + 7 = 4x + 12x

<em>... </em>16 = 16x

<em>... </em>x = 16/16

<em>... x = 1 </em>

<em>Hence, the value of 'x' is 1. </em>

<em>Hope this helps! </em>

<em>Happy Thanksgiving! :) </em>

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Which of the following is not a Pythagorean triple?
Ierofanga [76]

Answer:

  (7, 24, 26)

Step-by-step explanation:

A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.

_____

<em>Additional comment</em>

For an odd integer n, a triple can be formed as ...

  (n, (n²-1)/2, (n²+1)/2)

That is, the following will be Pythagorean triples.

  • (3, 4, 5)
  • (5, 12, 13)
  • (7, 24, 25)
  • (9, 40, 41)
  • (11, 60, 61)

Another series involves even numbers and numbers separated by 2:

  (2n, n²-1, n²+1)

  • (8, 15, 17)
  • (12, 35, 37)
  • (16, 63, 65)

In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.

It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.

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