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vodka [1.7K]
3 years ago
6

A Fraction Number: The sum of the numerator and denominator is 40. if its value is 3/5 after simplifying, what is the fraction b

efore simplifying? (generate variable and answer in equation)
Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0
Here: Fraction = 3/5
Let, original fraction (before simplifying) = 3x/5x
Then, 3x + 5x = 40
8x = 40
x = 40/8
x = 5

So, 3x = 3(5) = 15 & 5(5) = 25

In short, Your Answer would be 15/25

Hope this helps!
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Answer:

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The y-coordinate of the vertex:

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1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1

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c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}

Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

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y=ax^2+c

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Parabola equation:

y=\dfrac{1}{8}x^2 -7

System of two equations:

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