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2 years ago

. Show ALL work for the following problem... if you write the answer only, you will not get brainlist: 2(x - 2) = 4x - 6(x - 2)

Mathematics

1 answer:

Rom4ik [11]2 years ago

6 0

Distribute 2 to x and -2, and -6 to x and -2

2(x - 2) = 2x - 4

-6(x - 2) = -6x + 12

2x - 4 = 4x - 6x + 12

Simplify. Combine like terms

2x - 4 = (4x - 6x) + 12

2x - 4 = -2x + 12

Isolate the x. Add 4 to both sides, and 2x to both sides

2x (+2x) - 4 (+4) = -2x (+2x) + 12 (+4)

2x + 2x = 12 + 4

Simplify

4x = 16

Isolate the x. Divide 4 from both sides

4x/4 = 16/4

x = 16/4

x = 4

4 is your answer for x.

hope this helps

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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

2 years ago

3/15 + 9/15 + 26/15=

klasskru [66]

Answer:

Mixed number - 2 8/15

decimal - 2.53

Step-by-step explanation:

3+9+26=38

denominator is 15

38/15 convert to a mixed number =

2 8/15 as a decimal is 2.53

4 0

3 years ago

Read 2 more answers

Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista

defon

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

Read more about right triangles at:

brainly.com/question/2437195

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2 years ago

Mr. Munoz gave his students the following expression to simplify as their exit ticket for class one day.

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Answer:

Step-by-step explanation:

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2 years ago

What is the purpose of a standard drink measurement? It allows you to determine if you're getting what you paid for It is a cons

Law Incorporation [45]

Answer:

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3 years ago