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3 years ago

Simplify the following rational expression

Mathematics

1 answer:

Helga [31]3 years ago

5 0

Answer:

= 5 (-2y+3) / -y+3

Step-by-step explanation:

If you need more help, you can look at this website called "symbolab".

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What is two 2/3÷1 1/6

babunello [35]

Answer:

0.57142857142

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

3 years ago

Complete the identity. =( sin (alpha +beta))/ (cos alpha cos beta)=?

dem82 [27]

Hi, We know:

Sin(a + b) = 2.Sin(a).Sin(b)

Then,

= 2Sin(a).Cos(b)/Cos(a).Cos(b)

Canceling Cos(b)

= 2Sin(a)/Cos(a)

As Tan(a) = Sin(a)/Cos(a)

Then we will stay:

= 2Tan(a)

Or

= Tan(a) + Tan(a)

There is anything wrong on the alternatives

4 0

3 years ago

A construction worker bought several bottles of juice for three dollars at the convenient store. She paid for them with a $20 bi

Veronika [31]

20-3j=change she should receive.

5 0

3 years ago

2. A bowling alley charges $3.00 to rent shoes and $1.50 per game bowled.

Zina [86]

3+1.50n would be an expression for this

6 0

3 years ago