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aev [14]
3 years ago
15

3p - 2(p-4) = 7p + 6

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

For this case we must find the value of the variable "p" of the following equation:

3p-2 (p-4) = 7p + 6

We apply distributive property on the left side of the equation taking into account that +*-=-  and - * - = +:

3p-2p + 8 = 7p + 6

We add similar terms:

p + 8 = 7p + 6

We subtract 7p  from both sides of the equation:

p-7p + 8 = 6\\-6p + 8 = 6

We subtract 8 from both sides of the equation:

-6p = 6-8\\-6p = -2

We divide by -6 on both sides of the equation:

p = \frac {-2} {- 6}\\p = \frac {1} {3}

Answer:

p = \frac {1} {3}

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If f(x)=x^2 is horizontally compressed to g(x), which could be the equation of g(x)?
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For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.  

<h3>How to find the resulting equation after applying a compression</h3>

Here we must narrow a given function by a <em>rigid</em> operation known as compression. <em>Rigid</em> transformations are transformations in which <em>Euclidean</em> distances are conserved. In the case of functions, we define the horizontal compression in the following manner:

g(x) = f(k · x), for 0 < k < 1     (1)

If we know that f(x) = x², then the equation of g(x) is:

g(x) = (k · x)², 0 < k < 1

For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.      

To learn more on rigid transformations: brainly.com/question/1761538

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