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Vlad1618 [11]
4 years ago
5

Bring the fraction a/a-4 to a denominator of 16-a^2

Mathematics
1 answer:
Dmitry_Shevchenko [17]4 years ago
3 0

Answer:

a / (a - 4) = a(a + 4) / ((a - 4)(a + 4)) = (a^2 + 4a) / (a^2 - 16) = -(a^2 + 4a) / (16 - a^2)


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1/6+1/12=<br><img src="https://tex.z-dn.net/?f=1%20%5Cdiv%206%20%2B%201%20%5Cdiv%2012" id="TexFormula1" title="1 \div 6 + 1 \div
erica [24]

\frac{1}{6} + \frac{1}{12}


We know that:


\frac{a}{b} + \frac{c}{d} = \frac{a.d + b.c}{bd}


So,


\frac{1}{6} + \frac{1}{12} = \frac{1.12+6.1}{6.12}

\frac{12+6}{72}

\frac{18}{72}

\frac{9}{36}

\frac{3}{12}

\frac{1}{4}

8 0
4 years ago
Sammy is an hourly employee who makes $26 per hour as an elevator technician. He is paid overtime $13 for every hour that he wor
oksian1 [2.3K]

Answer:

364$

Step-by-step explanation:

you multiply 26 times 13 which equals 364

8 0
4 years ago
Find the slope of the line that passes through the points (3,6) and (5, 3).<br> -3/2<br> 3/2<br> 2/3
Natalija [7]

Answer:

-3/2.

Step-by-step explanation:

To find the slope, we find the rise over run.

In this case, the rise is 6 - 3 = 3.

The run is 3 - 5 = -2.

The slope is 3 / (-2) = -3/2.

Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the inverse of f(x) = sqft x+ 3
grin007 [14]

Answer:

f^{-1} (x)=x^{2} -3

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x+3}

We can find the inverse function by exchanging x and y, and then solve for y.

y=\sqrt{x+3}

Replace x with y.

x=\sqrt{y+3}

square both sides

x^2=y+3

y=x^2-3

Hence,

f^{-1} (x)=x^{2} -3

8 0
3 years ago
What are the approximate values of the minimum and maximum points of
Katen [24]
To start off, you can divide the right side of the equation by x to get rid of most of the x's so you get the polynomial x^4 - 10x^2 + 9. This means that f(x) = x^4 - 10x^2 + 9x. By factoring the right side of the equation, you get f(x) = (x^2 - 1)(x^2 - 9). I think the minimum value is 1 and the maximum value is 3. 
7 0
3 years ago
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