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Zigmanuir [339]
3 years ago
14

What sum or difference is equivalent to the expression 9x-6/3

Mathematics
2 answers:
iris [78.8K]3 years ago
5 0
D. 9x-2
This is equivalent to the expression.
hope this helps!
nlexa [21]3 years ago
5 0
The answer to your question is d
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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
The equation below shows the total volume (V), in cubic units, of 9 identical boxes with each side equal to s units:
fomenos
Hey mate l think it is 

<span>23.040 cubic units </span>
3 0
3 years ago
Read 2 more answers
A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketbal
noname [10]

Answer:

\boxed {\boxed {\sf 7.5 \ feet}}

Step-by-step explanation:

We are given this function for the height (h) after t seconds:

h=-16t^2+25t+6

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

h= -16(1.5)^2+25(1.5)+6

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent first.

  • (1.5)²= 1.5*1.5=2.25

h= -16(2.25)+25(1.5)+6

Multiply.

h= -36+25(1.5)+6

h= -36+37.5+6

Add.

h=1.5+6=7.5

This is already rounded to the nearest tenth, so it is the answer.

After 1.5 seconds, the basketball is at a height of 7.5 feet.

6 0
3 years ago
Find the slope of each line 2-3. please help thank you.
atroni [7]
2)
(-3, 3) (2,0)
slope = (3-0)/(-3-2) = -3/5

3)
y = 3
so slope = 0
7 0
3 years ago
2 3/7...1 6/7..2 5/8...2 5/10<br> Least from greatest
adoni [48]
I'm so tremble right now
6 0
3 years ago
Read 2 more answers
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