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aleksandrvk [35]
3 years ago
6

What is the domain of the function y = 3 l n x graphed below? On a coordinate plane, a curve starts in quadrant 4 and then incre

ases up into quadrant 1. It crosses the x-axis at (1, 0). x greater-than 0 x less-than 0 x less-than 3 x greater-than 3

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

<h2>X greater-than 0</h2>

Step-by-step explanation:

The given function is

y=3ln(x)

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negatice, because the logarithm of a negative number is undefined, the same happens for x=0.

Therefore, the domain of this function is all real numbers more than zero.

The image attached shows the graph of this function, there you can notice its domain restriction.

So, the right answer is the first choice: x greater than 0.

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PLEASE HELP ME NOW!!
puteri [66]

Answer:

x=4+-2\sqrt{7}

Step-by-step explanation:

To solve, we need to take square root of both sides first:

(x-4)^2=28\\\sqrt{(x-4)^2} =+-\sqrt{28} \\x-4=+-\sqrt{28}

Now we use the property of radical shown below to simplify square root of 28:

Property:  \sqrt{x*y}=\sqrt{x} \sqrt{y}

Now, we have:

x-4=+-\sqrt{28}\\x-4=+-\sqrt{4*7}\\x-4=+-\sqrt{4}\sqrt{7}\\x-4=+-2\sqrt{7}

Now we take 4 to the other side and isolate x:

x-4=+-2\sqrt{7} \\x=4+-2\sqrt{7}

first answer choice is right.

4 0
3 years ago
Read 2 more answers
Determine the number of possible outcomes when tossing one coin ,two coins ,and three coins then determine the number of possibl
m_a_m_a [10]

Number of possible outcome for tossing N coins = 2^N

Solution:

Possible outcomes when tossing one coin = {H, T}

Number of possible outcomes when tossing one coin = 2 =2^1

Possible outcomes when tossing two coins = {HH, HT, TH, TT}

Number of possible outcomes when tossing two coins = 4 =2^2

Possible outcomes when tossing three coins

                                 = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

Number of possible outcomes when tossing three coins = 8 =2^3

Therefore, the sequence obtained is 2^1, 2^2, 2^3.

If continue this sequence, we can obtain number of possible outcome for tossing N coins is 2^N.

7 0
3 years ago
If each quadrilateral below is a square, find the missing measures<br><br>solve for X​
Studentka2010 [4]

Answer:

i think x = 18.5

Step-by-step explanation:

6x-21 = 90°

6x = 90+21

6x = 111

x = 111/6

x = 18.5

3 0
2 years ago
The measure of angle MBT ?
Alik [6]

Answer:

Oooo I’m doing a question just like that one on my hw

Step-by-step explanation:

3 0
3 years ago
An increase in which of the following causes GDP to decrease?
Svetradugi [14.3K]

Answer:

B

Step-by-step explanation:

The GDP measures the market value of all goods and services produced in an economy (country or region) in a specific period of time. The GDP formula is:

GDP= Consumption (C)+ Investment (I)+ Government expenditure (G)+ (Exports - Imports) (Net exports)  

Notice that if exports increase, GDP will increase too. Also, if investment increases GDP will increase. Notice that imports have a negative sign, then if they increase, GDP will decrease.

5 0
3 years ago
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