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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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Suppose that the functions g and f are defined as follows.
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Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x

Calculating the value of (\frac{g}{f})(2):

\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times  (2)

               =\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\  =\frac{5}{-3}\\\\  = - \frac{5}{3}\\\\

x=- \frac{\sqrt{3}}{2} and x=\frac{\sqrt{3}}{2} are not in the domain.

Domain: x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2},  \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)

8 0
3 years ago
Simplify the radical expression.
tresset_1 [31]

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of \sqrt{a} + b would be\sqrt{a} - b.


Applying that information to our fraction shown here, the conjugate of the denominator would be \sqrt{3} - 4. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.


\Big(\dfrac{1}{\sqrt{3} + 4}\Big)\Big(\dfrac{\sqrt{3} - 4}{\sqrt{3} - 4}\Big)

\dfrac{\sqrt{3} - 4}{3 - 16}

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Our answer is \boxed{\dfrac{4 - \sqrt{3}}{13}}.


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3 years ago
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frutty [35]
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3 years ago
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Answer:

y + 4 = 5(x - 3)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

2(m + 2) = 22

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3 0
3 years ago
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