What is the domain of y=log 4(x+3)

What Is The Domain Of Y=log 4(x+3)

Answers

Answer 1

Answer:

domain is the set of numbers you can use for x

Step-by-step explanation:

log_4(x+3)=y means

I mean it translates to

4^y=x+3

remember that x^m≥0 for all real values of x and m

it actually can equal 0 only when x=0 or when x is very small

so

therefor since 4^y>0, x+3>0 as well

solving we get

x>-3

all real numbers greater than -3

2nd option


Related Questions

45 to 60 using percent of change unit.

Answers

Answer:

A change from 45 to 60 represents a positive change (increase) of 33.3333333333%

Step-by-step explanation:

Percent change = 60 - 45

45

× 100 = 33.333333333333 % (increase)

Answer:

33.3% increase

Step-by-step explanation:

Percent of Change =

[tex] \frac{change}{original} [/tex]

The change would be 15:

60 - 45 = 15

So the percent of change would be:

15/45 = 1/3 = 33.3% increase

Hope this helps! Brainliest would be appreciated!

Find the Value of x

Please answer!!
No links!!

Answers

Answer:

x = 15 inches

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]

solve pls brainliest

Answers

Step-by-step explanation:

a))) -31-71=-102

b)-9+14=+5

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

A. - 31 - 71 = - 102

B. - 9 + 14 = 5

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.

B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Janice is a travel agent. She receives a 7% commission based on the value of the trips she
books. Today she spent 5 hours arranging a $6,300 cruise for a couple.

Answers

Based on her commission percentage, Janice was able to earn $441 in commission which translates to $88.20 per hour

The commission that Janice earned is found by:

= Commission percentage x Value of trip booked

= 7% x 6,300

= $441

The amount she earned per hour is therefore:

= Commission earned / Number of hours worked

= 441 / 5

= $88.20

In conclusion, Janice earned $441 in commission and earned $88.20 per hour.

Find out more at https://brainly.com/question/14473634.

The rest of the question is:

a. How much commission did she earn?

b. What was her mean hourly pay for the work she did?

Identify the sampling designs that use voluntary response sampling. Check all that apply.

Mrs. O’Neill asks all her seventh-period students about their study habits.
Each customer of a fitness club is interviewed about their health as they exit.
An online poll about voter opinion of political issues is posted on social media.
A student organization interviews students in the drama club about the spring play.
A doctor’s office sends email surveys to all its patients.
A department store includes a link to an online survey on customers’ receipts.

Answers

Answer: C, E, F

Step-by-step explanation:Got it right

ℎ(?=4?Ȓ12 ?ћ???=?Ď(?−18

Answers

Answer:

4

Step-by-step explanation:

just trust me

George is baking a cake using 1/3 cups of milk for every 3/4 cups of flour. How much flour should he use if he has 2 cups of milk?

Answers

Answer:

4 and 1/2 cups of flour

Step-by-step explanation:

First, you need to divide 2 by 1/3, which will give you 6. Then multiply 6 by 3/4, which gives you 4 1/2. Hope this helped!

10.com
Leg, width
and height

Answers

Answer:

420 cm^3

Step-by-step explanation:

1. The volume of a rectangular prism is [tex]l * w * h[/tex], where l = length, w = width, and h = height.

2. (Solving)

[tex]6*7*10[/tex] [tex]42*10[/tex] [tex]420[/tex] 420 cm^3

Therefore, the volume is 420 cm^3.

y-3(2y-7)=76 quick and with steps

Answers

Answer:

y = -11.

Step-by-step explanation:

Y-3(2y-7)=76

Y-6y+21=76

-5y+21=76

-5y=55

y=-11.

Answer:

Step-by-step explanation:

⇔y-6y+21=76⇔-5y+21=76⇔-5y = 76 -21⇔-5y=55 ⇔y= 55:(-5) ⇔y= -11

Use the number line to find the difference of 3 - (-1.5)

Answers

your answer is 4.5 you're welcome :-)

Answer:4.5

Step-by-step explanation:

the rule is

positive - negative  changes to positive + positive so

3- (-1.5) changes to 3 + 1.5 which equals 4.5

If your goal is to retire with at least $1 million, how long would it take—and how much would you need to invest each month—if your anticipated rate of return is 10%? At what age could you retire if you started investing at age 25?

Answers

Answer:

There is no simple one size fits all answer to this question, because I need a few more variables to solve it. Or you can go to bankrate.com and use the millionaire calculator and figure it out on your own. I put a sample in the photo.

Hope this helps!;)

Step-by-step explanation:

1. Your age= 25

2. Target age=? obviously you don't want to be too old to spend it.

3. Current investments=? how much are you starting with 0 or more?

4. Savings per month=? only you know how much you can set aside out of your income

5. Expected rate of return=10%

6. Expected inflation rate= 2.9% (last I heard 2021)

23 in. The perimeter of this quadrilateral is 100 in. What is the length of the side not given? 27 In. 32 in.​

Answers

Answer:

Solution:

The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.

Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm.

Therefore, perimeter of quadrilateral = 5 cm + 7 cm + 9 cm + 11 cm

                                                     = 32 cm

What do I do?

Backstory)) Today as I was waking to lunch with a few people that were my so called friends, they are in the dance team and they wanted to go and help sell tickets there was one small table to sell tickets. But the thing is that there is only room for about 4 people on that table but they fit 7 which logically I think we all know that 7 people don’t need to sell tickets, only if 2 people actually bought tickets

So as we entered the cafeteria I followed them (I am not on the dance team) they went to that very table then I asked the obvious question where should I sit? Cause there want room for me. Then one of my friends pointed at an empty table and told me to sit there. I sit there the whole lunch eating only a few. I am stressed when nobody is next to me eating which causes me to eat less. Cause I feel everyone is staring at me. So I act like I am fine. Then after that we had some free time. I went to the bathroom the whole free time to just cry. But the thing is as the free time started they didn’t come and get me they just walked off so that’s why I went to the restroom and stayed in there for a little till the bell rang.

So what should I do they are going to do the same thing tomorrow and I am getting stressed cause I have no other friends to sit with.

Answers

Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)

convert 35cm to metres​

Answers

Answer:

35cm is 0.35 metres.

Hope this helps!

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

dont know

Step-by-step explanation:

sorry

What is the difference?
Х
1
x?+3x+2 (x+ 2)(x+1)
(x+2)(x+1)
X-1
6x+4
-1
4x+2
1
X+ 2
x-1
x² + 3x+2
2

Answers

Step-by-step explanation:

your correct answer is the last one (x-1)/x²+3x+2.

the second equation lcm will be x²+3x+2 if you expand it .

hope this helps you.

The difference of the Expression is (x -1) / (x² + 3x + 2).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have,

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

Now, simplifying the expression as

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)

= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)

= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)

= (x-1) / (x+ 2)(x+ 1)

= (x -1) / (x² + 3x + 2)

Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).

Learn more about Expression here:

brainly.com/question/14083225

#SPJ7

If there are 6 $5 bills how many 10$bills are there?

Answers

Answer:

3

Step-by-step explanation:

6*5=30

30/10=3

Answer:

3

Step-by-step explanation:

6 * 5 = 30

Then, 30 / 10 = 3

please please help me​

Answers

It’s 60°, because a triangle has 180° and it’s an equilateral triangle therefore 60

1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?

Answers

Total legos = Brady’s legos + Owen’s legos. Brady has 432 legos and Owen has three times that amount. This means Owen has 432 X 3 legos: this will give you the answer that Owen has 1296 legos. To find the number of legos they have all together, use the equation in the beginning (Brady’s legos + owens legos). 432 + 1296 = 1728(the total number of legos they have altogether)
They have 1296 legos all together

if sin2x,1,cos2x are in gp ,then x =​

Answers

Answer:

Man I can't express how much joy I have rn. thanks man!

Can someone help me understand this and give me the answer?

Answers

the answer is 5gh it is regular subtraction but with the letters next to them its an expression with letter basically

I NEED A 100% ACCURATE RIGHT ANSWER ASAP NO LINKS !!!

Answers

it's 8=8 meaning it is always true, and infinity.

Answer: all real num.

Step-by-step explanation:

4(a+2) = 8+4a

4a+8 = 8+4a

It can be all real number.

According to the new remuneration scheme, the starting pay of a lecturer a is RM3,087 per month and the annual increment is RM195. Ahmad, who is 25 years old, becomes a lecturer in a university. (a) What will his monthly salary be when he is 45 years old? (b) What will his age be when he gets a monthly payment of RM8,937?​

Answers

Step-by-step explanation:

arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.

a1 = 3087 (that's our starting value)

a2 = a1 + 195

a3 = a2 + 195 = a1 + 2×195

an = a1 + (n-1)×195

a)

when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.

so, n = 1+20 = 21

a21 = a1 + 20×195 = 3087 + 20×195 = 6987

so, when he is 45 years old, his monthly salary will be RM6,987

b)

how many years (= how big is n) until he gets 8937 ?

8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =

= 3087 + n×195 - 195 = 2892 + n×195

6045 = n×195

n = 6045/195 = 31

so, a31 = 8937

and that means, he has to work 30 additional years (31 minus the starting level 1) to earn monthly RM8,937.

that means he will be 25+30 = 55 years old.

Can someone help me please ?

Answers

Answer:

I don't know the answer sorry luv but ur pfp is cute

-xoxo

The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite

Answers

9514 1404 393

Answer:

  one solution; (x, y) = (4/3, 11/3)

Step-by-step explanation:

The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.

__

The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.

Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.

OMG I NEED HELP BADLY RN

In which quadrant does the point (-2 , -2) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

D) Quadrant 3

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

D.

Quadrant III

Step-by-step explanation:

Quadrant III= Both co-ordinates negative.

what is 10/8 divided by 1/4

Answers

Answer:

5

Step-by-step explanation:

i think the answer is 5

5.) I somehow got $50 to buy hair dye, so I got 4 bottles of hair dye I had 5 dollars left, how
much was the hair dye?

Answers

Answer:

10

Step-by-step explanation:

is the answer

mark me as brainlest

Answer:

The hair dye was $11.25

Step-by-step explanation:

4x+5=50

4x=45

x=11.25

Help if so omg ur amazing

Answers

the answer is 12/35
(You multiple both of the fractions)

Answer:

12/35 of the road

Step-by-step explanation:

To find 2/5 of 6/7 you simply multiple and simplify if possible.

2/5 * 6/7 = (2*6)/(5*7) = 12/35

Contains (5,8) and is parallel to the graph of 2x + 3y = 9.

Answers

2x+3y=9
3y=9-2x
y=-2/3x+3

Slope is -2/3

8=-2/3(5)+m
Answer: y=-2/3x+34/3

Please mark brainliest thanks

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]

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