What is the domain of the function y = log(x +
3)?
(-0,00) (-0,00)
(-00,-3)
(0,00)
(-3,00)
DONE

Answers

Answer 1

Answer:Find the domain of y = log(x + 3)

Logarithms can only be taken for positive numbers. So you must have

x + 3 > 0

x > – 3          ✔

So the domain of the function is

D = {x ∈ R:  x > – 3}

or using the interval notation

D = (– 3, +∞)

I hope this helps :).


Related Questions

Which of the following is equivalent to 7-2(x+2)<-4-3(1 - x)?

Answers

Answer:

2 < x

Step-by-step explanation:

7-2(x+2)<-4-3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7 +3x

Add 2x to each side

3-2x +2x< -7+3x+2x

3< -7+5x

Add 7 to each side

3+7 <-7+7+5x

10 <5x

Divide each side by 5

10/5 <5x/5

2 < x

Doreen uses 13 apples for every two pies she bakes. How many apples will she use for 12 pies?
13/2 = ?/12

Answers

Answer:

78 apples for 12 pies

Step-by-step explanation:

we use 13 apples for 2 pies

she makes 12 pies

6x2 = 12 pies

so we do 13x6

13x6=78

78 apples for 12 pies :)

can i get brainliest

Answer:

13/2 = 6.5

12 x 6.5 = 78

? = 78

13/2 = 78/12

Step-by-step explanation:

13 apples ÷ 2 pies = 6.5 apples per pie

12 pies x 6.5 apples per pie = 78 apples for 12 pies

? = 78 apples for 12 pies

13/2 = 78/12

need help with my math checking it over just making sure its right please help it is a lot!

Answers

Answer:

14. 14.86 (simple subtraction)

15. 4 dollars (156/39 = 4)

18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)

19.14 (3.5/0.25)

20. A(understanding question contex)

25. 3a + 3b or C (add all the a's and b's together)

26. 5 (Divide apples by 3)

28.C(multiply all the sides together)

29. A (12/7 is fraction form of 12 : 7)

30. C (rate is 20 so 6 * 20 = 120)

31. D

Hoped this helped, this took a while to do :)

what is the sum of the infinite series: 1-4+16-64+. . .

Answers

Step-by-step explanation:

I think we cannot find the sum because it will continue on so the series is multiply by 4

What is the answer to 6.5% of 300?

Answers

Answer:

19.5

6.5% of 300

The polynomial 2x3 - 5x2 + 4x - 10 is split into two groups, 2x + 4x and -5x? - 10. The GCFs of each group is then
factored out
What is the common binomial factor between the two groups after their GCFs have been factored out?
2x + 5
0 2X-5
O x-2
0x + 2
Save and Exit
Nex
Subuni

Answers

Answer:

2x - 5

Step-by-step explanation:

2x^3 + 4x = 2x(x^2 + 2)

-5x^2 - 10  = -5(x^2 + 2)

so the factors are  (2x - 5)(x^2 + 2).

The mystery number is a three-digit number. Its digits are 3, 6, and
2.
• The 6 has a digit on its left and on its right.
• The 2 is not the last digit.
What is the mystery number?​

Answers

Answer:

263

Step-by-step explanation:

Let the number = xyz

The 6 has a digit on its left and on its right. It must be the middle number.

y = 6, so the number is x6z.

The 2 is not the last digit. It must be the first digit.

x = 2, so the number is 26z.

The remaining digit — 3 — must be the last digit.

z = 3, and the number is 263.

The mystery number is 263.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Let the three digit number be xyz.

The digits are 3,6,2.

The mystery number can be found as

The 6 has a digit on its left and on its right, so the number becomes  [tex]x6z[/tex].The 2 is not the last digit, so the number becomes [tex]26z[/tex]The left number is 3. Thus the number becomes [tex]263[/tex].

Hence we can conclude that the mystery number is 263.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

A cellphone company collected data about students' texting skills. They collected the texting speed in words per minute according to time in minutes.Identify the data's independent and dependent variables.
The independent variable is ______.
The dependent variable is _______.​

Answers

Answer:

independent is the time. time does change throughout the experiment.

Dependent is texting speed as it can vary.

hope this helps :)

-6(x + 7) = -4x - 2
Choose 1 answer:
No solutions
Exactly one solution
Infinitely many solutions

Answers

Answer:

-2x-44

Step-by-step explanation:

-6x-42=-4x-2

Answer:

one

Step-by-step explanation:

-6x -6×7 = -4x-2 :

-6x -42 = -4x -2 : (+4x)

-2x -42 = -2 : (+42)

-2x = 40 (/-2)

x = -20

What is the volume of this rectangular prism?

Answers

Answer:

[tex]\frac{64}{27} cm^3[/tex]

Step-by-step explanation:

V = L*W*H

V= (4/3)*(4/3)*(4/3)

Volume =  [tex]\frac{64}{27} cm^3[/tex]

which is the graph of f(x) = x^2 -2x+ 3

Answers

Step-by-step explanation:

there is the graph

if r = 7 and s = 10, find R. Round to the nearest 10th

Answers

Answer:

R = 35.0

Step-by-step explanation:

We know tan theta = opp/ adj

tan R = r/s

tan R = 7/10

Take the inverse tan of each side

tan ^-1 tan (R) = tan ^-1 (7/10)

R =34.9920202

R = 35.0

Answer:

A. 35º

Step-by-step explanation:

estimate the radius of the Big Ben clock face in London to the nearest meter.Using C=44m

Answers

Answer:

7 meters

Step-by-step explanation:

Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.

What is the measure of AngleDEF? Triangle D E F. Angle D is 28 degrees. Angle F is 47 degrees. 25 degrees 75 degrees 90 degrees 105 degrees

hellllpppp

Answers

Answer:

105 degrees

Step-by-step explanation:

The sum of the angles on a triangle must always equal 180 degrees. We know that two angles are 28 and 47, so the third angle must be 105.

28 + 47 + x = 180

75 + x = 180

75 - 75 + x = 180 - 75

x = 105

Answer:

105 degrees

Step-by-step explanation:

28+47=75

180-75=105

How far could you drive on 45 gallons of gas?

Answers

Answer:

depends on what car you are driving and its gas mileage

Honestly, it all depends on what car or truck you drive and it’s gas mileage on city or highway. So for example, 589.6 miles is how far you can go if your car contains 22 gallons of gas and your car gets 26.8 miles per gallon.

A box envelopes costs $5.25. The box contains 25 envelopes. How much does each envelope costs?

Answers

Answer:21 cents

Step-by-step explanation:5.25 divided by 25 is 21

The sales tax for an item was $28.80 and it cost $360 before tax. Find the sales tax rate. Write your answer as a precentage

Answers

Answer:

7.4%

Step-by-step explanation:

find percentage of the tax

(total cost=$388.80)

28.80 out of 388.80

=28.80*100/388.8= 7.4%

. A don Alvaro le encargaron construir un depósito de agua de 729 m3 ¿Cuánto debe medir la arista del depósito?

Answers

Answer:

a = 9m

Step-by-step explanation:

You can take the volume of the water tank as the volume of a cube.

The volume of a cube with side a is given by:

V=a*a*a = a^3

To find the value of a you do a the subject of the formula:

a=(V)^{1/3}

You replace and obtain for a:

a = (729m^3)^{1/3} = 9m

hence, the rim a of the water tank is 9m

Answer: The side of the tank is 9 m.

Step-by-step explanation: A water tank is normally a cube, which means length, width and height has the same measure.

To calculate Volume of a cube:

V = length*width*height

Knowing that volume is 729 and assuming sides are x:

x*x*x = 729

x³ = 729

x = [tex]\sqrt[3]{729}[/tex]

x = 9

The volume is in cubic meters, so sides of the tank measures 9 m.

1. Solve for x: log7 49 = x

Answers

Answer:

2

Step-by-step explanation:

[tex]log_{7}[/tex] 49 = x can be reformatted to [tex]7^{x}[/tex] = 49. Solve for that and x =2.

25 Pts

What type of graph would you use to compare the prices of Felix's books and of Tyler's books? In two or more sentences, explain your choice.

bar graph
line graph
scatter plot
histogram
box-and-whisker plot

Felix's books

Mean 10.21

Median 6

Mode 3

Range 26

Tyler's Books

Mean 77.36

Median 68

Mode 76

Range 92

Answers

You would use a bar graph since bar graphs can compare two different subjects

Answer:

I would use box-and-whisker plots to compare the two sets of prices. The plots will show the ranges, which is the difference least and greatest data points. Also, the medians will divide each set of data into 4 equal groups. Comparing these middle values and range of prices in each group will show how similar the prices are.

Step-by-step explanation:

used this son my test and it was right.

Which is the greatest mass? *

4000 g
400000 mg
40 kg
400 cg

Answers

40 kg!
Kg is 1,000 times larger than k !

Help Please, i will give all my points and mark brainliest!!!!!!!!!!!!

Answers

Answer:

strong

modern

weak

strong

Step-by-step explanation:

Please Please PLease help

Answers

Answer:

2/3

Step-by-step explanation:

2nd term = 2/5

5th term = 16/135

Nth term for any series is given by [tex]a r^n-1[/tex]

where a is the forst term

r is the common ratio

for 2nd term

[tex]2nd \ term = ar^n-1 = 2/5\\2nd \ term = ar^2-1 = 2/5\\2nd \ term = ar= 2/5\\[/tex]

for 5th term

[tex]5th \ term = ar^5-1 = 16/135\\\\5th \ term = ar^4 = 16/135\\[/tex]

Since we have to eliminate a  and find r .

we can divide 5th term by second term

then we get the following equation

[tex]2nd term/ 5th \ term = ar/ar^4 = (2/5) / (16/135)\\=>1/r^3 = 2*135/5*16 \\=>1/r^3 = 27/8\\=>1/r = \sqrt[3]{27/8} \\=> 1/r = 3/2\\=> r = 2/3[/tex]

\

Thus, common ratio is 2/3.

HELPP!!! 18 POINTS
Thirty-five percent of what number is 10.5?
A. 18
B. 3.675
C. 48
D. 30

Answers

Answer:

30

Step-by-step explanation:

divide 10.5by 35/100

Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.

Answers

Answer: $22.12

Step-by-step explanation:

I just did the compound interest formula which is

starting amount * (1. interst rate) ^ number of years

example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;

100 * (1.10) ^20 = 672.74$

but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;

I know the answer is right because I asked my teacher and it's correct.

REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$

The amount should be $22.12.

Important information:Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998

calculation:

[tex]= 18 \times (1.51) ^{.5}[/tex]

= $22.12

learn more about the percentage here: https://brainly.com/question/21678821

What’s the value for x? please help

Answers

Look at the attached picture

Hope it will help you....

Follow me for more.

-pragya~~

Find the base of the rectangle,when you know the area. 8+8+?+?=96

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

The area if base x height

8 x height = 96

Divide both sides by 8 to find the base size:

96 / 8 = base

base = 12

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The correct answer is 12 please give me brainlest

Please help with this question. I don’t get it.

Answers

It’s pretty much just saying to multiply the fractions 1/6 x 1/6 which is 1/12. The tree diagram would look something like this:

Please help with this math question!

Answers

Answer:

Step-by-step explanation:

C

The manager at gabrielas furniture store is trying to figure out how much to charge for a book shelf that just arrived.The book shelf was bought at a wholesale price of $147.00 and gabrielas furniture store marks up all furniture by 60%

Answers

Answer:

235.2

Step-by-step explanation:

147 * 1.60 -> this way is an all in one calculation but to double check you can take 60% of 147 (147 * .60 = x ) and add that value to 147 so... 88.2+147=235.2

Answer:

88.2

Step-by-step explanation:

So all you have to do is this 147 * .60 = 88.2

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