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storchak [24]
3 years ago
9

Which is the solution to 2x - 6 + 4 = 14?

Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0
2x-6+4=14
2x=16
This gives you x=8
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solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

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$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

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= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

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So, we know that g(1), which is the first term, is -72

and that g(n)=g(n-1)*1/6 is the common ratio.

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