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White raven [17]
3 years ago
13

Express the following English phrase using an algebraic expression. The quotient of some number y and 6 increased by the product

of 2 and some number x.
Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer:

y/6 + 2x

Step-by-step explanation:

To write this expression, let's take it step by step.

The quotient of some number y and 6 implies that 6 divides y:

y/6

Increased by the product of 2 and some number x implies that the previous expression is summed with 2x:

y/6 + 2x

Hence, our final expression is as such:

y/6 + 2x

Cheers.

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To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
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square that number
then add it to both sides of the equation

-20 / 2 = -10
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then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
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x-10 = <span> <span> <span> 3.1622776602 </span> </span> </span>
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x2 = 10 -<span> <span> <span> 3.1622776602
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