What is the domain of f?
Choose 1 answers
All real values of r such that=0
All real values of such that=0
All real values of such that r < 0
All real values of r such that >0
All real values of

What Is The Domain Of F?Choose 1 AnswersAll Real Values Of R Such That=0All Real Values Of Such That=0All

Answers

Answer 1

Answer: C) All real values of x such that [tex]x \le 0[/tex]

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

[tex]-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0 \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2 \ \text{ ... divide both sides by 2}\\\\x \le 0[/tex]

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.


Related Questions

Simplify the expression below using laws of exponents.

Answers

Answer:   36/[tex]K^{2}[/tex]

Step-by-step explanation:

The k on top will cancel the k to the second power.

So the only number in the numerator is 1.

Then the 1 qill go away because you cant divide anything by 1.

The expoenet -2 that was at the top near K will become positive.

Then distribute

What is the unit rate depicted in the graph?

On a coordinate plane, a graph titled Lap Times has minutes on the x-axis and Laps on the y-axis. A line goes through points (4, 3) and (8, 6).
0.75 laps in one minute
1.25 laps in one minute
3 laps in 4 minutes
4 laps in 3 minutes

Answers

Answer:might be wrong but the answer is C

Step-by-step explanation:

The Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

What is Unit Rate?

The Unit Rate is defined as means a rate for one of something, i.e. ratios of two quantities.

We have,

Minutes on the x-axis,

And,

Laps on the y-axis.

And,

A line goes through points (4, 3) and (8, 6),

x₁ = 4, x₂ = 8, y₁ = 3, y₂ = 6

Now,

So,

Unit rate for x₁ and  y₁,

i.e.

[tex]\frac{y_1}{x_1} =\frac{3}{4}=0.75[/tex]

Now,

Unit rate for x₂ and  y₂,

i.e.

[tex]\frac{y_2}{x_2} =\frac{6}{8}=0.75[/tex]

So,

The unit rate is 0.75 laps in one minute.

Hence, we can say that the Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

To know more about Unit Rate click here

https://brainly.com/question/15491469

#SPJ2

Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?

A) 6750
B) 3415
C) 5500
D) $4250

Answers

Answer:

D; $4,250

Step-by-step explanation:

Here, we want to know the amount that was invested in the 5% account

We proceed as follows;

Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b

We have it that the total investment amount is $11,000

Mathematically, since total is 11,000; we can add a and b to give this

a + b = 11,000 •••••••••(i)

Now, let us work with the interests

Interest earned will be;

Percentage of interest * Amount invested

For the 5% interest account, the interest earned will be;

5/100 * a = 5a/100 = 0.05a

For the 8% interest account , the interest earned will be;

8/100 * b = 0.08b

By adding the interests on both account, we can get the total amount of interest earned

We can have this as;

0.05a + 0.08b = 752.50 •••••(ii)

From equation i above;

b = 11,000 - a

Substitute this into ii

0.05a + 0.08(11,000-a) = 752.5

0.05a+ 880 - 0.08a = 752.5

0.08a-0.05a = 880-752.5

0.03a = 127.5

a = 127.5/0.03

a = $4,250

An item cost 460 before tax and the sales tax is 32.20 find the sales tax rate write your answer as a percentage

Answers

Answer:

7%

Step-by-step explanation:

Find the missing quantity in the double number line.

Answers

This might help u
Gl

The missing quantity is 100 books in the double number line.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ2

find the slope of the line through each pair of points. (9, 16) , (14, -12)

Answers

Answer:

slope = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 16) and (x₂, y₂ ) = (14, - 12)

m = [tex]\frac{-12-16}{14-9}[/tex] = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]

what is 2x4(6.5x9.5) power of 12 show your work

Answers

Answer:

24.584...

Step-by-step explanation:

2x4(6.5x9.5) power of 12

2x4 x 61.75 power of 12

2x4 x 3.073...

8 x 3.073...

24.584...

Question Three
What is the value of in the figure?
61
4 Ft
(5x)
(10x - 10)
6 ft
A
2
B
6.4
С
8
D 9.5

Answers

I believe the answer is A

Help!! 10 pts and brainliest!

Answers

Answer:

25 times larger

Step-by-step explanation:

hope this helped

Answer: 5 times larger

Explanation:

B is a scaled copy of A with a scale factor of 5 which mean B is drawn 5 times larger than A

What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6

Answers

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

Write a fraction equal to 1 with a numerator of 18

Answers

Answer:

18/18

Step-by-step explanation:

18 divided by 18 is one

if cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.

Answers

Step-by-step explanation:

cos θ - sin θ = √2 sin θ

cos θ + sin θ = √2 sin θ + 2sin θ

cos θ + sin θ = √2(sin θ + √2sin θ)

cos θ + sin θ = √2 cos θ. (Proven)

The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11

1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?

Answers

Answer:.

Step-by-step explanation:

The questions and options is on the image ;)

Answers

Answer:

the thie\rd one

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

it is 3/4 lol trust

What is the distance from M(-1,6) to N(11, 1)?
C. 13 units
A. 12 units
B. V 149 units
D. 169 units
Please help me

Answers

Answer:

C. 13

Step-by-step explanation:

I hope u dont need work lol

Answer:

D. 169 units

Step-by-step explanation:


Which of the following would earn the same amount of interest as a $600 principal with 2.5%
interest for 6 years?

Answers

Answer:$225 at 10% for 4 years and $80 at 75% for 18 months

Step-by-step explanation:

The required interest earned is given as $90, as of the given condition.

Given that,
Principal = $600
Rate = 2.5% and time = 6 years

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Simple interest = principal × rate × time /100
Simple interest = 600× 2.5× 6 /100
Simple interest = 90

Thus, the required interest earned is given as $90, as of the given condition.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ5

i need help on my math how

Answers

Answer:

OK!!!!!!!!!!!!!!!1

Step-by-step explanation:

Answer: What do you need help with? I think if you put out you will try and help.

The total surface area of a cone whose radius is 2 r and slant height 2l is

(A) 2πr (l + r)
(B) πr (l + 4 r )
(C) πr (l + r)
(D) 2πrl​
please answer urgent

Answers

Answer:

[tex]A=4\pi r(l+r)[/tex]

Step-by-step explanation:

The total surface area of a cone is given by :

[tex]A=\pi rl+\pi r^2\\\\=\pi r(l+r)[/tex]

Put r = 2r and l = 2l in the above formula

[tex]A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)[/tex]

Hence, the total surface area of the cone is [tex]4\pi r(l+r)[/tex].

Xander is planning on building a house. The blueprints show a house that is 3 inches wide and 2 inches tall. The blueprints use a scale in which 14 inch represents 2 feet.

How wide and tall will the actual house be?

Drag and drop the height and width of the actual house into the boxes.

Answers

Answer:

16ft tall and 24ft wide

Step-by-step explanation:

Answer:

16ft 24ft

Step-by-step explanation:

i got the same qestion and its correct.

Can you tell me the statements that are true?

Answers

Answer:

1=true

2=false

3=false

4=true

5=true

6=false

Step-by-step explanation:

hope this helps!:)

Erica can paint her room 5 hours .If she had her friend Rachel help her , they can paint the room together in 3 hours .How long would it take for Rachel to paint the room alone , if Erica wanted to go play tennis for the afternoon ?

Answers

Answer:

7 hours 30min

Step-by-step explanation:

Step one :

Given data

We are told that Erica can paint 1 room in 5hours

Her work rate is 1/5 room per hour

And also with the assistance of her friend they can paint 1 room in 3 hours

Hence their combined work rate is 1/3 room per hour

Step two

The combined work expression is

1/A+1/B=1/T

Where A=Erica's work rate

B=Rachael's work rate

T=combined work

1/5+1/B=1/3

1/B=1/3-1/5

1/B=5-3/15

1/B=2/15

B=15/2

B=7.5 hours

It will take Rachel 7 hours 30min to paint the room

A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?

Answers

Answer:

15 ft

Step-by-step explanation:

A=LxW

135 ft2 =m X 9ft

Divide 135 by 9

& that equals 15ft.

To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.

A complex number has a real part 4 and an imaginary part coefficient of -3. Which binomial is equivalent to this complex number?

Answers

Answer:

4-3i

Step-by-step explanation:

Here, we want to select the option that best correlate

The real and the complex part can be represented as;

a + bi

In this case, a is the real, b is the complex

So we have that;

Real part 4 and imaginary coefficient of 3

That will be

4 -3i

Answer:b

Step-by-step explanation:

URGENT!!!!!!!!!! PLEASE HELP!!!

Answers

Answer:

F' would be (5,2)

G' would be (0,2)

H' would be (0,6)

hope this helps!

During the first week of a certain month, a computer store sells 11 computers. A sale begins on the second week of the week and during the second week the computer store sells 17 computers. What was the percent increase in sales from the first week of the month to the second week of the month ?

Answers

Answer:

The percentage increase in sales is 54.45%

Step-by-step explanation:

Here, we want to calculate the percentage increase

mathematically the increase in sales is 17-11 = 6

The percentage increase is ;

6/11 * 100% = 54.45%

In the following table, y is a function of x. True or false: The table below represents a function.

Answers

False
Bc when you divide y/x it equal different unit rates

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x=5.7

Step-by-step explanation:

sin(35=x/10

What is the measure of the missing side?

Answers

The explanation is in the photo. Have a look

Graph the funtion f(x) = [tex]\sqrt[3]{x - 2}[/tex].

(I added a picture just in case you can't read the equation)

Struggling a lot could use a friend right about now thank you

Answers

This process is very simple. All you are doing is creating a table of values somewhere to help you graph this function. As you can see, the coordinates of [tex]\displaystyle [-6, -2], [1, -1], [2, 0], [3, 1],[/tex] and [tex][10, 2][/tex] are all touched on this graph, letting you know that this information is accurate.

I am joyous to assist you at any time. ☺️

Which spacecraft tested the soil of Mars for signs of life?

Answers

Answer:

Viking landers

To date, the Viking landers (1976) were the only spacecraft to conduct experiments looking for life in the Martian soil.

Step-by-step explanation:

brainly?

Other Questions
help meeeee plzzzzzzzzzz i need this done 1) Jayden runs 1/4 of a mile in 1/4 of an hour. How far will it take him to run 1hr.2) Dylan walked 1/3 miles in 20 minutes How far will he goes in miles distance in 120 minutes? Why is it important to pay attention to conventions of English in a persuasive essay?1.It helps you write a good rough draft.2.It makes you appear friendly and engaging.3.It lends credibility to your paper.4.It allows you to use sophisticated words to persuade they keep returning and saying show work again In a collage, elements like paper or fabric are added toa statue or other 3D objecta container of liquiddigital elementsa flat surface Mad scientists Ms. Jones & Ms. Peek studied how a catalyst affects the rate of a chemical reaction. The data table below shows their resultsAmount of Catalyst (mg)Reaction Time (s)1060.32047.73031.84022.6Which statement correctly describes the pattern in the data (AKS 1a1)(DOK 1)Question 25 options:a. The catalyst did not affect the rate of the reaction.b. The more catalyst added, the slower the rate of reactionc. The more catalyst added, the faster the rate of the reactiond. If 50 mg of catalyst were added, the reaction would take less than 22.6 seconds two or more atoms joined together form a _____ An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t) = 20,000 (1.08)^t where t represents time in years and P(t) represents the elk population. What is the estimated population of elk in 6 years? Steven needs to unload a truck containing boxes filled with video consoles. He wants to determine the time required to unload the truck. Which quantity will help Steven to determine the time required? Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit$125, how many t-shirts did he sell? Water is a polar molecule. On one side there is a positive electrical charge. On the other side there is a negative charge. Water is the only substance on Earth that is stable in all three states. Earth is the only planet in the solar system that has water in all three states.How has water allowed life to become so diverse and complex on Earth? Cite evidence from the text that best supports this idea. Select the correct answer.Which phrase best describes the image? Which represents the equation of the roll line? A cell phone plan costs $200 to start. Then there is a $50 charge each month.Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know. Can anyone please help me with this??????????? please please help me with this please please can someone help me with this Un automvil se mueve a velocidad constante v = 60 [km/h]. Si el tiempo de reaccin del conductor al ver la luz roja de una interseccin es de 0.5 [s], y este desacelera a razn de 40 [m/s2 ] Qu distancia recorre el automvil desde el instante en que el conductor nota la senal hasta detenerse por completo? Entindase por tiempo de reaccin, el intervalo de tiempo transcurrido entre el instante en que se percibe la seal y el instante en que se lleva a cabo la accin (instante en que el conductor activa el sistema de frenado). A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58. Which of the following represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?A. (195 - 286) + 1.992 underroot46/45 + 58/40 B. (286 - 195) + 1.992 underroot46^2/45+ 58^2/40 C. (195 - 286)+ 1.992 underrot 140 158/45+40 D. (286 - 195) + 1.992 46 1582 45 +40 E. (195-286) +1.992 462 + 58 45 40 15.) whats the approximately measure of one interior angle of the regular polygon shown 16.) the shape in the figure is a square . Use the properties to determine the value of X What kind of tone is written using a third-person point of view (he, she, they)a. filler wordsb. formal tonec. happyd. informal tone at constant pressure by what fraction of its volume will aquantity of gas change if the temperature changes from -173degree C to 27degree C