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-BARSIC- [3]
3 years ago
10

1. 5 less than one fourth of x is y.

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer

y = (1/4)x - 5                 or     4y - x + 20 = 0

Explanation

To get the rule required, we interpret the sentence and write it in a mathematical form.

5 less than one fourth of x is y  

one fourth of x ⇒ (1/4)x

5 less than one fourth of x is y  ⇒  (1/4)x - 5 = y

y = (1/4)x - 5

4y = x - 20

4y - x + 20 = 0

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Step-by-step explanation:

In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:

x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)

x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)

Now that you have factored out the two quadratics, plug them into the equation.

    5x        -       3

(x+4)(x+2)      (x+5)(x+2)

Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.

5x (x+5)             -           3(x+4)  

(x+5)(x+4)(x+2)      (x+5)(x+4)(x+2)

Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:

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 (x+5)(x+4)(x+2)               (x+5)(x+4)(x+2)

4 0
2 years ago
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