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Andrei [34K]
3 years ago
10

Kinda putting this out here to everyone so you can learn. Don't just click on a person needing help then guess or just put gibbe

rish. That's not cool and you're only using the undetected answering log to your own usage. Stop.
Mathematics
1 answer:
ElenaW [278]3 years ago
4 0
Really true. just wanting points is not a reason to mess with someone else.
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Expand each expression
matrenka [14]

Answer:

Option B - \ln(\frac{4y^5}{x^2})=\ln 4+5\ln y-2\ln x

Step-by-step explanation:

Given : Expression \ln(\frac{4y^5}{x^2})

To find : Expand each expression ?

Solution :

Using logarithmic properties,

\ln (\frac{A}{B})=\frac{\ln A}{\ln B}=\ln A-\ln B

and \ln (AB)=\ln A+\ln B

Here, A=4y^5 and B=x^2

\ln(\frac{4y^5}{x^2})=\frac{\ln 4y^5}{\ln x^2}

\ln(\frac{4y^5}{x^2})=\ln 4y^5-\ln x^2

\ln(\frac{4y^5}{x^2})=\ln 4+\ln y^5-\ln x^2

Using logarithmic property, \logx^a=a\log x

\ln(\frac{4y^5}{x^2})=\ln 4+5\ln y-2\ln x

Therefore, option B is correct.

3 0
2 years ago
Read 2 more answers
What metric unit would you use to measure the length of a football field?
Sati [7]
Meters, yards are not in the metric system

3 0
3 years ago
I need help with this math problem it should be easy but im not good in math sooo...
ozzi
Angles in a triangle adds up to 180
All you do it 59+69 which is 128
Then you do 180-128 the answer is 52
3 0
2 years ago
Read 2 more answers
PLEASE HELP meeeeeeee
BigorU [14]
<h3>Answer: Distance between x intercepts is 1 unit.</h3>

======================================================

Explanation:

Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x

f(x) = -2x+2

0 = -2x+2

2x = 2

x = 2/2

x = 1

Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.

-----------------------

Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).

First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.

m = (y2-y1)/(x2-x1)

m = (3-6)/(1-0)

m = -3/1

m = -3 is the slope

The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.

So with m = -3 and b = 6, we see that g(x) = -3x+6.

-------------------------

Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top

g(x) = -3x+6

0 = -3x+6

3x = 6

x = 6/3

x = 2 is the x intercept of g(x)

--------------------------

In summary, we found...

  • x = 1 is the y intercept of f(x)
  • x = 2 is the y intercept of g(x)

Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.

6 0
3 years ago
6(x + 3) - 2 &lt; 8(x + 5)
stira [4]

The answer is x>-12

First you must use distributive property to simplify.

6x+18-2

Then, you must subtract 18 on both sides

6x-2

Next, add 2 on both sides

6x

Then, subtract 8x on both sides

-2x

Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.

x>-12

4 0
3 years ago
Read 2 more answers
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