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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.

You might be interested in
X+y+z=2<br> X-y-z=2<br> x-y+z=-6
likoan [24]
<h2>The first one:</h2>

<u>solve for x.</u>

Step 1: Add -y to both sides.

x+y+z+−y=2+−y

x+z=−y+2

Step 2: Add -z to both sides.

x+z+−z=−y+2+−z

<u>x=−y−z+2</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -z to both sides.

y+z+−z=−x+2+−z

<u>y=−x−z+2</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -y to both sides.

y+z+−y=−x+2+−y

<u>z=−x−y+2</u>

<u />

<h2>The second one:</h2>

<u>solve for x. </u>

Step 1: Add y to both sides.

x−y−z+y=2+y

x−z=y+2

Step 2: Add z to both sides.

x−z+z=y+2+z

<u>x=y+z+2</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add z to both sides.

−y−z+z=−x+2+z

−y=−x+z+2

Step 3: Divide both sides by -1.

−y /−1  = −x+z+2 /−1

<u>y=x−z−2</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add y to both sides.

−y−z+y=−x+2+y

−z=−x+y+2

Step 3: Divide both sides by -1.

−z /−1  =  −x+y+2 /−1

<u>z=x−y−2</u>

<u />

<h2>The third one:</h2>

<u>solve for x. </u>

Step 1: Add y to both sides.

x−y+z+y=−6+y

x+z=y−6

Step 2: Add -z to both sides.

x+z+−z=y−6+−z

<u>x=y−z−6</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add -z to both sides.

−y+z+−z=−x−6+−z

−y=−x−z−6

Step 3: Divide both sides by -1.

−y /−1  =  −x−z−6 /−1

<u>y=x+z+6</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add y to both sides.

−y+z+y=−x−6+y

z=−x+y−6

I hope this was helpful <3

3 0
3 years ago
How do I do surface area
umka2103 [35]
For what shape??
pls answer, then we can get somewhere with this question!! :)
3 0
3 years ago
Read 2 more answers
A bus started with 51 passengers. The bus dropped
klio [65]

Answer:70 passengers are left

Step-by-step explanation:

Started with 51 passengers

Makes formula

51 - 26 + 45 = 70 passengers

Started - left = people left or gained

8 0
2 years ago
3 x 2 2/5 pleaseyou guys are supercalifragilisticexpialidocious
Yuliya22 [10]
7.2 is the answer i hope that helps!!!!!!!!!!!

7 0
3 years ago
HELPPP PLEASE !!!!
PolarNik [594]

Answer:

P(B)= 17/20

Step-by-step explanation:

The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.

Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.

If a random member of the audience is selected as a volunteer:

Let "A" represent the event that "the selected volunteer is a student of the class"

And "B" the event that "the selected student is female"

You have to calculate the probability of the selected volunteer being female, given that it is a member of the school class.

Symbolically:

P(B|A)

Using the formula of conditional probabilities you can calculate it as:

P(A∩B)= =

As you can see the probability of the event "The volunteer is female given that it was a student of the school class" means that you already know the selected volunteer was a student and only needed to calculate the probability of that student being female.

P(B)= 17/20

I hope this helps

7 0
2 years ago
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