Select the correct answer. Which function has a domain of all real numbers? A.y=(x+2)^ 1/4 B.y=-x^ 1/2+5 C.y=-2(3x)^1/6 D.y=(2x)^1/3-7

Answers

Answer 1

The option D shows a function has a domain of all real numbers.

Which is the Domain of a Function?

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

Letter A - [tex]y=\left(x+2\right)^{^{\frac{1}{4}}\:}[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,

     [tex]\left(x+2\right)^{^{\frac{1}{4}}\:}=\sqrt[4]{x+2}[/tex]

      Therefore, the function domain is x  [tex]\geq[/tex]-2.

Letter B - [tex]y=-x^{\frac{1}{2}}^{\:}+5[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,

        [tex]-x^{\frac{1}{2}}^{\:}+5=-\sqrt{x} +5[/tex]

        x  [tex]\geq[/tex] 0

      Therefore, the function domain is x  [tex]\geq[/tex] 0.

Letter C - [tex]y=-2\left(3x\right)^{\frac{1}{6}}[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,

        [tex]-2\left(3x\right)^{\frac{1}{6}}=-2*\sqrt[6]{3x}[/tex]

          3x  [tex]\geq[/tex] 0

         x  [tex]\geq[/tex] 0

      Therefore, the function domain is x  [tex]\geq[/tex] 0.

Letter D - [tex]y=\left(2x\right)^{\frac{1}{3}}-7[/tex], as you have an odd exponent, the results for y has no undefined points nor domain constraints. Thus,

        [tex]\left(2x\right)^{\frac{1}{3}}-7=y=\sqrt[3]{2x} -7\\ \\[/tex]

         

      Therefore, the function domain is [tex]-\infty \: < x < \infty \:[/tex].

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Related Questions

For each question:

1) write the equation

2) Generate at least two ordered pairs

3) Graph them.



1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.

2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription

Answers

Answer:

2

Step-by-step explanation:

Answer:

I dont know either but nobody wants to answer this question and just steal points.

Step-by-step explanation:

sorry u dont have the answer.

What equation represents y=−3x^2+12x−8 in vertex form?

Answers

Y=3(x+2)^2-20 hope this is right!

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

What were the dimensions of the original photo?
pls hurry

4 inches by 4 inches
6 inches by 6 inches
10 inches by 10 inches
12 inches by 12 inches

Answers

Answer:

The correct answer is:

6 inches by 6 inches

Step-by-step explanation:

Given that

Area of Enlarged photo = 256 square inches

Let x be the side of original photo

then the equation for area of new enlarged photo will be:

[tex](x+10)^2 = 256[/tex]

We have to solve the given equation to find the side length of original photo

Taking square root on both sides

[tex]\sqrt{(x+10)^2} = \sqrt{256}\\x+10 = 16[/tex]

Subtracting 10 from both sides

[tex]x+10-10 = 16-10\\x = 6[/tex]

So the side length of original photo is 6 inches. The dimensions will be 6 inches by 6 inches.

Hence,

The correct answer is:

6 inches by 6 inches

Answer:

Its B on edge 2021

Step-by-step explanation:

Just took a test

Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?

Answers

Step-by-step explanation:

Lets find out,shall we?

Simple interest=(PRT)/100

=$1000×12×3)/100

=$360

Now for compound interest

A=P(1+R/100)^t

A=$1000(1+12/100)^3

A=$1404.928

so interest for compound interest=$(1404.928-1000)=$404.928

Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.

Difference in interest=$404.928-360=$44.928

Given CAD is a right angle and AB is bisecting CAD and if DAB=(7x-4) find X

Answers

Answer:

Step-by-step explanation:

Just a quick clarification, swap A and B on the diagram.

If CAD is a right angle, it is equal to 90°. Since AB is bisecting CAD, angles CAB and DAB are congruent(equal) and complementary(add up to 90) angles, and thus equal 45°. By the transitive property, if DAB = (7x - 4)° and also equals 45°, (7x - 4)° = 45°. So we can simply solve for x.

7x - 4 = 45
7x - 4 + 4 = 45 + 4
7x = 49
7x/7 = 49/7
x = 7

Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 3 newspapers, 4 soda cans, 6 apple cores

A.
35%
B.
65%
C.
13%
D.
100%

Answers

Answer:

recyclble materials include Milk bottles, news papaers and soda cans

the rest is compost

20 items is the total

13 are recycble

13/20 as a decimal is 0.65

multiply by 100

and answer is

B.65%

Step-by-step explanation:

Answer:

B 65%

Step-by-step explanation:

Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2

1

slope intercept form that represents the new line.

Answers

Answer:

So after reflecting over the x-axis, the equation is:

[tex]-y = x-2[/tex]

so the equation in the slope-intercept form

[tex]-y = x-2[/tex]

[tex]y=-x+2[/tex]

Here,

The slope = m = -1The y-intercept = b = 2

Step-by-step explanation:

Given the equation

[tex]y = x - 2[/tex]

Reflecting over the x-axis inverts the sign of the y-coordinate, but the sign of the x-coordinate remains the same.

So after reflecting over the x-axis, the equation is:

[tex]-y = x-2[/tex]

Now, writing the equation in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form

[tex]-y = x-2[/tex]

[tex]y=-x+2[/tex]

Here,

The slope = m = -1The y-intercept = b = 2

1k + 9>30

Plis ayúdenme

Answers

Answer:

Step-by-step explanation:

1k +9 > 30

1k +9 -9 > 30 -9

1k > 21

k > 21

e + f =48
e=3f
Plz help - thanks

Answers

Answer:

[tex]given \: \\ \\ e = 3f \\ e + f = 48 \\ \\ 3f + f = 48 \\ 4f = 48 \\ f = \frac{48}{4} \\ f = 12 \\ so. \\ e = 3 \times 12 = 36[/tex]

plzz mark it as a brilliant ans

The sum of two numbers is 53 and the difference is 19. What are the numbers?

Answers

Let x be the smaller number.
So the bigger number is x+19 (Their difference is 19)
Their sum: 53

Hey, Whats The answer please explain your answer marking brainliest:D....................................

Answers

Answer:

I think it's answer choice A!

Step-by-step explanation:

The reason why I think that it is A is because of the given y values. The x values are consistent through all of the given choices, but if graphed, there is a distance of three units between the y-value of 4 and the y-value of 7. I personally like to use Desmos when it comes to trying to get a visual graph of coordinates. I hope this at least helped a little!

The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units, therefore, option (A) will be correct.

How to find the distance between two points?

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

The distance between with two points (x₁, y₁) and (x₂, y₂) is given as,

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

In option (A),

Points are (2,4) and (2,7).

The distance between them will be,

[tex]d = \sqrt {\left( {2 - 2 } \right)^2 + \left( {4 - 7 } \right)^2 }[/tex]

d = √(3²) = 3

Hence "The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units".

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help me solve ... 26 is 62% of what

Answers

Answer: 16.12 should be your answer.

Hope this helps.

Answer: 16.12

Step-by-step explanation:

pls help will mark as brainliest​

Answers

F1) 4 , F2) 16 Explanation add 4 after every number

an open box of maximum volume is to be made from a square piece of material, 26 centimeters on a side,

Answers

Domain of the function is: 0 < x < 12.

Volume of the box =  4x(12-x)²cm^3

Volume of a cuboid:

Volume is the measure of how much space a given substance takes up inside a closed, three-dimensional object. A cuboid's volume given by its length (l), breadth (b), and height (h) is as follows:

According to the given data:

Side of square  = 24cm

(a) Volume of the box

Let the squares used to create a box have a side of "x" cm.

so,

length will be = 2(12 - x)

Width will be = 2(12 - x)

Hight will be = x

Volume of the Square box (V) = l x b x h

                                    =  2(12 - x) *  2(12 - x) * (x)

                                   = 4x(12-x)²cm^3

(b) The domain of the function V(x)

We see that:

x is length, x >0

x cm of the side's length of 24 cm are removed from both ends.

so that 2x<24

Domain of the function is: 0 < x < 12.

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I understand that the question you are looking for is:

An open box of maximum volume is to be made from a square piece of material, 24 centimeters on a side, by cutting equal squares from the corners and folding up the sides.

If V is the volume in cubic centimeters and x is the height of the box in centimeters, find V in terms of x. Determine the domain of the above function

HELP DUE IN 20 MINS!!!!!!

Answers

Answer:

10 miles

Step-by-step explanation:

Set up a proportion: [tex]\frac{15}{1.5} = \frac{x}{1}[/tex]  Cross multiply, then divide: 15 × 1 = 15, 15 ÷ 1.5 = 10So, Jessica can run 10 miles in 1 hour

I hope this helps!

Consider the population of part-time college students. Suppose that 60% of this population is female. Here is the sampling distribution for the proportion of females in random samples of n students. The standard deviation is approximately 0.10. Lines indicate a distance of 1 and 2 standard deviations above and below the mean.

Answers

Answer:

The answer is "1.5".

Step-by-step explanation:

Given value:

[tex]p= 60 \% = \frac{60}{100}= 0.60\\\\\sigma_p = 0.10 \\\\\hat{p} =0.75[/tex]

testing the statistics:

[tex]Z= \frac{\hat{p} -p}{\sigma_p}\\\\[/tex]

  [tex]=\frac{0.75-0.60}{0.10}\\\\=\frac{0.15}{0.10}\\\\=1.5[/tex]

Need help now, will give brainliest

Answers

Answer:

in 2 months

Step-by-step explanation:

since 2 times 7000 is 14000 plz mark as brainliest

Answer- In 2 months

Explain- It is correct when i calculated, i also did this

——————-

The quotient of 32 and a number is -4

Answers

if im right its 32 / n = -4

if your meant to solve it its -8

The answer is - 8

Because a positive number and a negative number divided or multiplied, the answer is always gonna be a negative.

So 32/-8 = -4

A pump can fill a 2400-L water tank in 50 min.
How much water can it pump in half an hour?

Answers

Answer: 2400 litre in 50 mins

In 1 min it fills 2400/50 litres

In 30 mins 2400/50*30=1440litres

Solve the following problem: Find x,y

Answers

9514 1404 393

Answer:

  x = 3

  y = 2

Step-by-step explanation:

Segments in the smaller triangle are half the length of the corresponding segments in the larger triangle.

Shortest to longest, the segments are ...

  3 : 4 : 6 = 1.5 : y : x = 1.5 : 2 : 3

  y = 2

  x = 3

39) Mrs. Ray sold 96 pounds of shrimp. of it was sold at $5.60 per
pound and the rest at $4.70 per pound. How much money did she
receive altogether?

Answers

Answer:

How much of it was sold at $5.60 per pound? The question cut off on that part.

Step-by-step explanation:

22) Find the measure of angle A to the nearest degree. Find the length of side b, to tenths.

Answers

Answer:

m∠A = 31

b = 13.3

Step-by-step explanation:

when making a long trip, you should stop for a rest: about every four hours or two hundred miles only when you stop for meals and gasoline do not stop until you get to your destination about every two hours or one hundred miles submit answer

Answers

In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.

What is a long trip?

Driving over extended periods of time without rest can be quite dangerous, despite how alluring it may be on a road trip to do so in order to reach your goal as quickly as possible.Frequent breaks are essential to maintaining a high standard of safe, efficient driving since driving requires a lot of concentration, expertise, and control that is challenging to maintain for hours on end.

In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.

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what is equivalent to 2/3 - (-3/4) + 5/4 ​

Answers

isnt It imporoper

................,,,,

Answer:

Can I get brainiest?

Step-by-step explanation:

PLEASE PLEASE
I BEG YOU...

Answers

Answer:

1) y=4

2) y=7

3) x=6

Step-by-step explanation:

to get y, divide x by 2. to get x, multiply y by 2

1st: 4
2nd: 7
3rd: 6

Explanation: 1st two, you have to plug-in the x values in and then simply divide. 3rd one you have to think of a number that equals 3 when it’s being divided by 2 which is 6.

Could someone help this question? I need help please and thank you​

Answers

Answer:

second one

Step-by-step explanation:

-6 + 30 = 24

-6z = 72 solve for z

Answers

Answer:

-12

Step-by-step explanation:

72 / -6 = -12

Answer:

-12

Step-by-step explanation:

72 divided by -6= -12

Can some one help please i just need an correct anwsers

Answers

Answer:

the last one 5/25

Step-by-step explanation:

Select two values that can replace
to make the inequality true.
5.436 < I NEED ANSWER FASTT

Answers

Answer:

D and B

Step-by-step explanation:

Just solve each one

What sum is represented by the arrow diagram?

Answers

Answer:

Would it be 1?

Step-by-step explanation:

I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..

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