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

a worker uses 45 inches of steel to make 300 nuts of the same size how many inches of steel wire will be needed to make one such nut?

Answers

Answer:

about 6.66666 inches

Step-by-step explanation:

It says you're in college why do you need help with such a simple problem?

You are tasked with finding the dimensions of an empty rectangular swimming pool. The goal is to calculate the amount of water needed to fill the pool. What would be the appropriate tool for taking the required measurements?
Please help! will mark brainlest
A. a ruler
B. a protractor
C. a compass
D. a measuring tape

Answers

Answer:

Its D

Step-by-step explanation:because the ruler is small and the other tools are not for it porpuse

The ratio of cups of orange juice concentrate to water in a punch recipe is 3:5. If Connor used 25 cups of water, how many cups of orange juice concentrate did he use

Answers

Answer:

15 cups of orange juice

Step-by-step explanation:

Let u be 1 unit.

5u = 25 cups

u = 25÷5

= 5

3u = 5×3

= 15

OT
The blueprint for Audrey's new room has a
scale that states every inch is actually equal
to 15 inches. If this blueprint shows the length
of her new room to be 3 inches, what will be
the actual length of her new room?

Answers

Answer:

I really need points

Good luck with your question tho

[(-2)²×3]÷[(-9)-5+2]

Answers

Answer:

-1

Step-by-step explanation:

1. To simplify this expression, let's go through the steps of BODMAS.

[tex]\frac{(-2)^2(3)}{-9-5+2}[/tex] [tex]\frac{(4)(3)}{-9-5+2}[/tex] [tex]\frac{12}{-9-5+2}[/tex] [tex]\frac{12}{-14+2}[/tex] [tex]\frac{12}{-12}[/tex] [tex]-1[/tex]

Therefore, the answer is -1.

-1 is the correct answer

I'll give Brainliest, I need this now. :D​

Answers

Answer:

I think it's 6:3=18:9=54:27

Step-by-step explanation:

I hope this helps!

Place value of 4 in 23,56,456 is​

Answers

It is in the hundreds place. pls mark me as brainliest!

Answer:

Hundreds

Step-by-step explanation:

Standard Form:

2,356,456

Place Value:

From left to right for 2,356,456

Digit Place Value

2 Millions

3 Hundred Thousands

5 Ten Thousands

6 Thousands

4 Hundreds

5 Tens

6 Ones

Word Form:

2,356,456 =

two million three hundred fifty-six thousand four hundred fifty-six

What do you already know about credit cards?

Answers

Answer:

A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.

Step-by-step explanation:

Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?

Answers

Pokyaa is 31 years, 6 months, while Afriyie

is 20 years, 6 months

The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's assume that the age of Pokyaa is P while the age of Afriyie is A.

As per the given,

Pokyaa is 11 years older than Afriyie

Therefore,  P = 11 + A

Altogether P + A = 52

Substitute,A = 52 - P  into P = 11 + A

P = 11 + (52 - P)

P = 11 + 52 - P

P + P = 63

2P = 63

P = 32.5 ⇒ 31 years and 6 months.

Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".

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Alonso is buying a new phone for $ 870
on the installment plan. He must put
down 15% and pay monthly payments
for one year. How much is each monthly
payment?
A.$13.05
B.$83.38
C. $61.63
D. $10.77

Answers

Answer:

A

Step-by-step explanation:

1. Get 15% of 870:

   First, get 10 percent of 870, which is 87, then half that, which is 43.5

   Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.

(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)

A quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that is ready to be shipped. If such a lot contains six batteries with slight defects, what is the probability that the inspector's sample will contain none of the batteries with defects

Answers

Answer:

10

Step-by-step explanation:

The probability of getting a sample without any defect is 1 / 6.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that are ready to be shipped.

Total batteries = 24

Total non-defective batteries = 24 - 6 = 18

Probability = Number of favourable outcomes / Number of sample

Probability = 3 / 18

Probability = 1 / 6

Therefore, the probability of getting a sample without any defect is 1 / 6.

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Find the missing value so that the line passing through the points has the given slope.

(7,1) and (x,4); m = 3/4

Answers

Answer:

11

Step-by-step explanation:

4-1=3/11-7=4

Eloise rides her bike1 7/10 miles on Wednesday and 1 5/10 miles on Thursday. How many miles does Eloise ride her bike altogether? Enter your answer as a mixed number in the simplest form

Answers

Answer:

3 2/10

Step-by-step explanation:

start with an equation:

1 7/10+1 5/10 = ?

convert mixed fractions into improper fractions:

17/10+15/10 = ?

add:

32/10

simplift:

3 2/10

solve pls brainliest

Answers

Answer:

y = 1.28

Step-by-step explanation:

Hi there!

[tex]10.24=8y[/tex]

To solve for y, divide both sides by 8:

[tex]\displaystyle \frac{10.24}{8} =\displaystyle \frac{8y}{8} \\\\1.28=y[/tex]

Therefore, y = 1.28.

I hope this helps!

Answer:

= 1 . 2 8

Step-by-step explanation:

10.24 =8y

10.24  =  8y

8              8

We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. The least-squares line for predicting final-exam score from mid-term exam score was γ=46.6 + 0.41x.
Octavio scores 10 points above the clas mean on the midterm. How many points above the class mean do you predict that he will score on the final. (Hint: what is the predicted final-exam score for the class mean midterm score of x-bar?) This is an example of regression to the mean, the phenomenon that gave "regression" its name: students who do well on the midterm will on average do less well on the final, but still above the class mean.)

Answers

Using the model equation, the predicted mean score on the final given a score of 10 points above the class mean in the mid term exam is 50.7

The Least - Square Regression equation which models the relationship between midterm and final exam score is :

γ=46.6 + 0.41x

x = 10 points ; substitute the value of x = 10 into the regression equation ;

γ=46.6 + 0.41(10)

γ=46.6 + 4.1

γ = 50.7

The number of points above the mean he'll score in the final exam is predicted to be 50.7

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What is the coefficient of 5(-t)

HELPPP

Answers

Answer:

-5

Step-by-step explanation:

Here are the steps to take in calculating the correlation coefficient:

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
2b ^ 3 + 2

Answers

Answer:

There are no like terms.

Step-by-step explanation:

Answer: if i remember correctly you’re just supposed to add 2 to the exponent so it’s be 2b^5 if that’s not the case then there are no like terms

Step-by-step explanation:

please help with finding the midpoint

Answers

Answer: (-4, -6)

Step-by-step explanation:

Find the middle so find the averages of the x points and the y points

average of -6 and 2 is -4

average of -8 and -4 is -6

the point is (-4, -6)

What is the least common denominator for the fractions 1/3and2/9?

Answers

Answer:

LCD= 9

Step-by-step explanation:

1/3 = 3/9  

2/9 = 2/9

Find The Size Of Angle AED
(Explain How)

Answers

[tex] - 110 \: degree[/tex]

This question has been answered, thank you so much for trying to help ^^

Answers

Ok, but don't spend so much of points it will create a shortages of point for u only, if point will get less then you will not able to ask question anymore.

Got it ^_^

I will ask this question based on the above pic. So I'm picking up a question for this.

Anyways thanks for giving away 26 points to me :))

I'm also asking a question with that amount of points. OK

Check all solutions to the equation. If there are no solutions, check "None."
x = 16

Someone please help!!

Answers

Answer:

Its E

Step-by-step explanation:

Help please i just wanna pass

Answers

The answer is 741. But pls trust me that is what I got

According to a study, 15 out of 50 adults have allergies. What percentage of adults do not have allergies?

Answers

Answer:

70% of adults do not have allergies.

Step-by-step explanation:

It states that 35 out of 50 adults do not have allergies. If we turn this into a fraction (35/50), we can then multiply the denominator by 2 to make it 100. We would then also multiply the numerator by 2.

35 x 2 =70

70/100 = .7

.7 is just the decimal form of 70%

x likes teenager but hates children, x likes running but hates walking, x likes swimming but hates water, x likes trees but hates flowers, x likes jeeps but hates car, x likes beef but hates pork. from the following what does x likes?

Answers

Step-by-step explanation:

x likes teenagers, running, swimming , trees , jeeps and beef.

The length of a marathon race is 26 miles 385 yards. What is the total length of the marathon
race in yards?
Plz help

Answers

Answer:

46,145

Step-by-step explanation:

26x1760= 45,760 + 385= 46,145

The total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

How to measure the length?

Length measurement is the measurement of the size of an object. The units of length measurement are meter, feet, yards etc.

Yards-This unit is used when the size of a small space has to measure, such as length of bed, ladder etc. There are total 1760 yards in one mile.Miles-This is the basic unit of length measurement of size. The size of roads, distance between two cities are measured in miles.

The length of a marathon race is 26 miles 385 yards. As there are total 1760 yards in one mile. Thus, the total number of yards in 26 miles is,

[tex]26\times1760=45760[/tex]

Now, he races for 385 yards along with 26 miles. Thus, the length of marathon is,

[tex]45760+385=46145\rm\; yards[/tex]

Thus, the total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

Learn more about the length measurement here;

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9. plsss help, will give brianlist

Answers

Answer:

[tex]1. \: \: \: \: \frac{1}{5} \\ 2. \: \: \: \: - \frac{3}{2} \\ 3. \: \: \: \: \frac{1}{2} [/tex]

Step-by-step explanation:

1. In the first diagram we simply count the number of squares along the rise and the number of squares along the run as slope equals rise/run

2. we use the slope formula

[tex] \frac{y2 - y1}{x2 - x1} = \frac{ - 2 - 1}{ 1- ( - 1)} = \frac{ - 3}{2} = - \frac{3}{2} [/tex]

3. pick any two points and apply the slope formula again

[tex]( - 1. \: \: 1) \: and \: (3. \: \: 3) \\ \frac{3 - 1}{3 - ( - 1)} = \frac{2}{4} = \frac{1}{2} [/tex]

I need help with this please

Answers

Answer:

23 isnthe anseeerjfhdhvdvd hdjdbbe

Which of the following coordinates of points belong to the solution set of the inequality y <2x² +3x - 5?

A.(-3,2)
B.(-2,9)
C.(1,6)
D.(3,1)
E. (-1.5)​

Answers

Answer:

A , D

Step-by-step explanation:

Check the inequality for each point.

For A. (-3,2)

[tex]y < {2x}^{2} + 3x - 5 \\ 2 < {2 ( - 3)}^{2} + 3( - 3) - 5 \\ 2 < 2 \times 9 - 9 - 5 \\ 2 < 18 - 9 - 5 \\ 2 < 4 \\ [/tex]

The inequality is satisfied.

For B. (-2,9)

[tex]y < {2x}^{2} + 3x - 5 \\ 9 < 2 {( - 2)}^{2} + 3( - 2) - 5 \\ 9 < 2(4) - 6 - 5 \\ 9 < 8 - 6 - 5 \\ 9 < - 3 \\ [/tex]

The inequality is not satisfied.

For C. (1,6)

[tex]y < {2x}^{2} + 3x - 5 \\ 6 < {2(1)}^{2} + 3(1) - 5 \\ 6 < 2(1) + 3 - 5 \\ 6 < 2 + 3 - 5 \\ 6 < 0[/tex]

The inequality is not satisfied.

For D. (3,1)

[tex]y < {2x}^{2} + 3x - 5 \\ 1 < {2(3)}^{2} + 3(3) - 5 \\ 1 < 2(9) + 9 - 5 \\ 1 < 18 + 9 - 5 \\ 1 < 22 \\ [/tex]

The inequality is satisfied.

For E. (-1,5)

[tex]y < {2x}^{2} + 3x - 5 \\ 5 < {2( - 1)}^{2} + 3( - 1) - 5 \\ 5 < 2(1) - 3 - 5 \\ 5 < 2 - 3 - 5 \\ 5 < - 6 \\ [/tex]

The inequality is not satisfied.

Find the probability distribution for the following function: P(x) = (x/2)+1 for x = 4, 6, and 8

Answers

p(4)=(4/2)+1
=2+1
=3

p(6)=(6/2)+1
=3+1
=4

p(8)=(8/2)+1
=4+1
=5
not sure if this is what you ment but i hope this helped! :)
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