Why is the domain of the square root parent function x ≥ 0 and the domain of the cube root parent function all real numbers?

Answers

Answer 1

Answer:

here may be more than one correct answer.  

Cubic, f(x)=x^3

Quadratic, f(x)=x^2

Square root, f(x)=√x

Constant, f(x)=c

Linear, f(x)=x

Step-by-step explanation:

Answer 2

The domain of the square root parent function is x ≥ 0 as the square root of only non-negative values exists and that of negative values does not exist, while the domain of the cube root parent function is the set of all real numbers as the cube root of all numbers exists.

What is a function?

A function is a relation between a dependent variable f(x) and an independent variable x, where for every value of x in its domain, there is one and only one value of f(x).

What is the domain of a function?

The domain of a function is the set of values of x, for which f(x) exists.

What is the range of a function?

The range of a function is the set of values of f(x), in a given domain of x.

How do we solve the given question?

We are asked why is the domain of the square root parent function x ≥ 0 and the domain of the cube root parent function all real numbers.

We know that the domain of a function is the set of values of x, for which f(x) exists.

Let the square root parent function be f(x) = √x.

The domain of this function is x ≥ 0, as the square root of negative values does not exist in the real number system.

Let the cube root parent function be g(x) = ∛x.

The domain of this function is all real numbers, as the cube root of all values does exist in the real number system.

∴ The domain of the square root parent function is x ≥ 0 as the square root of only non-negative values exists and that of negative values does not exist, while the domain of the cube root parent function is the set of all real numbers as the cube root of all numbers exists.

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Related Questions

what are the solutions to this polynominal when s(x) =0 s(x) (3x^2 + 17x+10 )(x-7)(4x-3) enter your answers in the boxes, from least to greatest.

Answers

Answer:

-5, -2/3, 3/4, 7

Step-by-step explanation:

The solutions are solutions of one of the following:

(3x^2 + 17x + 10) = 0, x - 7 = 0, 4x - 3 = 0

The latter two are straightforward: x = 7 or 3/4.

To factor the first, note it must be of the form (3x + __) (x + __)

Check the pairs (10, 1) (1, 10) (5, 2) and (2, 5) and we find:

(3x + 2) (x + 5) = 0

So, we also have solutions -5, -2/3

Answer:-5,-2/3,3/4,7

Step-by-step explanation:

took quiz

8. A study found that 72% (0.72) of people wear their seat belts? If three people
are selected at random, what is the probability that all three people wear their
seat belts?

Answers

Answer:

0.373248

Step-by-step explanation:

P(A and B) = P(A) * P(B)

Let's say one person wearing a seat belt is event A, the second person wearing a seat belt is event B, and the third person wearing their seat belt is event C

P(A and B and C) = P((A and B) and C) = (P(A) * P(B)) *P(C) = P(A) * P(B) * P(C)

The probability of each is 0.72. Our answer is therefore 0.72 * 0.72 * 0.72, or 0.72³ = 0.373248

Mason playing board games he would like to design games has a Job Center, Mason has decided to make his own board his game uses around spinner Mason divides the spinner into eight equal Spaces Mason favorite color and leave the other six pieces of white what fraction of the spinner does mason paint his favorite color

Answers

Answer:

I think the answer is for the color of the spinner is black because i think most og the color is white 6/8 and black is 2

2/8

Step-by-step explanation:

A deck is shaped like a parallelogram with a base length of 27 feet and a height of 11 feet. A can of wood stain will cover 40 square feet.

How many cans of stain will be needed to stain the deck?

Enter your answer in the box.

Answers

From the area of the parallelogram, it is found that 8 cans of stain will be needed to stain the deck.

What is the area of a parallelogram?

The area of a parallelogram of base length l and height h is given by:

A = lh

In this problem, the dimensions are l = 27, h = 11.

Hence, the area, in square feet, is given by:

A = 27(11) = 297.

Each can cover 40 square feet. How many cans are needed for 297 square feet?

[tex]n = \frac{297}{40} = 7.425[/tex]

Rounding up, 8 cans of stain will be needed to stain the deck.

To learn more about the area of a parallelogram, you can take a look at https://brainly.com/question/17540452

Answer: 8 cans

Here's Proof

I need help on question 16

Answers

Answer:

more than 22

Step-by-step explanation:

last year average 21points per game

so they need at least 22 points per game to be better than last year average

to get 22 points per game average (for the first three game)

they need to score total = 22 × 3 games = 66 points

then, minus total score they need to goal

66 - 14 -30

= 22 point more to score

A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
pentagon
hexagon
heptagon
octagon

Answers

Answer:

It called c. Heptagon

Step-by-step explanation:

Answer:

it’s c :)

Step-by-step explanation:

because there no other Correct answers

how many 5 digit palindromic numbers have digits that add up to 14

Answers

Answer:

Step-by-step explanation:

It looks like 25, but I have to check it some more.

It looks like there are 25, but I can only give you the answer. I cannot give you a proof

Samples

12821

40604

51215

Anastasia Subscribe to a website for processing her digital pictures The subscription is $6.25 per month and 4-by -6 inches prints are $ 0.25 each how many prints dose Anastasia Purchase if the charge for January is $15.75 ?

Answers

total cost = 6.25 + 0.25 x

15.75 - 6.25 = 0.25 x

9.5 = 0.25 x

x = 38 prints

PLS ANSWER AS SOON AS POSSIBLE

Answers

-a²-2ax-x²+49 I think this is the answer

Gizmos come in a carton. A carton holds 6 packages. Each package holds 10 small boxes. Each small box holds 12 gizmos. How many gizmos come in a carton?
Group of answer choices

720 gizmos

830 gizmos

640 gizmos

Answers

Answer:

720

Step-by-step explanation:

i used a calculator box = 12 gizoms 1 package =10 boxes

12x10 = 120. 120 x 6 = 720

3k - 2 = 10
Evaluate the expression

Answers

Answer:

k = 4

Step-by-step explanation:

3k - 2 = 10

3k - 2 + 2 = 10 + 2

10 + 2 = 12

3k = 12

3k/3 = 12/3

k = 4

Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab​

Answers

Step-by-step explanation:

add like term

follow the process and answer is there

PLEASE PLEASE HELP AND PLEASE

Answers

Answer:

Step-by-step explanation:

Part A is -6  

Because 7 - 13 is -6 so at 9 am it was -6 degrees

Part B is -7.5 degrees

Because 6 x -1.25 = -7.5

Which expression represents"6 more than x"?

Answers

Answer: x + 6

Step-by-step explanation:

The expression that represents 6 more than x is x + 6.You can also rewrite this as 6 + x, but there is no need.

Please accept my friend request.

Also, Can I please get BRAINLIEST?

I NEED HELP WITH THESE 2 QUESTIONS ASAP!

Answers

Answer:

  a) 2, 4, 8, 32, 60

  b) 2, 4, 32, 64, 120

Step-by-step explanation:

a)

The numerator is 1/2 the denominator, or the denominator is 2 times the numerator.

  [tex]\dfrac{1}{2}=\dfrac{2}{4}=\dfrac{4}{8}=\dfrac{8}{16}=\dfrac{16}{32}=\dfrac{30}{60}[/tex]

__

b)

The numerator is 1/4 the denominator, or the denominator is 4 times the numerator.

  [tex]\dfrac{1}{4}=\dfrac{2}{8}=\dfrac{4}{16}=\dfrac{8}{32}=\dfrac{16}{64}=\dfrac{30}{120}[/tex]

A class has 7 boys and 10 girls. Select all associated ratios for this class. ( select more than 1 please )

10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7

Answers

Answer:

7:10

Step-by-step explanation:

The ratio of boys to girls is 7 to 10

What is
21.9% of 44,700

Answers

Answer:

9,789.30

Step-by-step explanation:

44,700 x .219 = 9,789.30

SUBTRACT THE FOLLOWING POLYNOMIALS.

1. 2a²b²–(-4a²b²)=

2. 3z–5z–(-6z)=

3. 3m–(4m)=​

Answers

I think this may be what you are looking for

A test question asks you to find two side lengths of a 45° -45° -90° triangle. You know that the length of one leg is 6, but you forgot the special formula for 45° -45° -90° triangles. Explain how you can still determine the other side lengths. What are the other side lengths?​

Answers

Answer:

The other leg is 6 and the Hypotenuse is 6√2

Step-by-step explanation:

because it's a 45 45 90 the legs equal and the Hypotenuse is square root 2 times leg

which binomial must be added to (-2r+12) so the the sum of 2 polynomial is (6r-7)

a.) 4r-19
b.) 4r+5
c.) 8r-19
D.)8r+5​

Answers

Answer:

c) 8r - 19

Step-by-step explanation:

Subtract    6r - 7

              -  -2r + 12

  = 8r - 19

Answer:8r-9 or c

Step-by-step explanation:

anyone know the answer to this?

Answers

Answer:

0.99.

Step-by-step explanation:

Remove the decimal point.

Then, divide.

I'll show you an image.

PLEASE I NEED HELP!! ∠WXY and ∠ZXY are supplementary angles. Find the value of m.

Answers

Answer:

m=70°

Step-by-step explanation:

*∠WXY and ∠ZXY are supplementary angles (180°)*

110°+m=180°

110°+m-110°=180°-110°

m=70°

Hope it helps!

Find the length of a rectangle given that the perimeter is 32 feet and the length is 1 foot more than four times the width.

Answers

Answer:

Length = 13

Step-by-step explanation:

P = 2L + 2W

L = 4W + 1

P = 32

32 = 2(4W +1)  + 2W

32 = 8W + 2 + 2W

30 = 10W

W = 3

L = 4(3) + 1

L = 12 + 1

L = 13

Please answer the question the file is attached below and please answer fast

Answers

Answer:

y = -4x + 5

Step-by-step explanation:

choose 2 easy-to-read points on the line:  (0, 5) and (2, -3)

Because we have chosen the point that intersects the y-axis (0, 5) we know that the y-intercept of the line is 5.

Using equation of a line in slope-intercept form: y = mx + b (where m is the slope and b is the y-intercept):

The slope of the line = change in y ÷ change in x = (-3 - 5) ÷ (2 - 0) = -4

Therefore, y = -4x + 5

In the triangle shown above, a = 16 cm, b= 12 cm, and c= 8 cm. What is the approximate measure of angle A?


A. 14.48°

B. 75.52°

C.65.56°

D.104.48°​

Answers

Answer:

I think its A

Step-by-step explanation:

The approximate measure of angle A is 104.48 degrees. The correct option is D.

Given that:

a = 16 cm

b = 12 cm

c = 8 cm

To find the measure of angle A in the triangle, use the law of cosines.

The law of cosines states that for any triangle with sides a, b, and c, and the angle opposite side c, denoted as C:

c² = a² + b² - 2ab × cos(C)

In this case, we want to find angle A, which is opposite side a. So, the equation becomes:

a² = b² +c² - 2bc × cos(A)

Now, plug in the given values:

16² = 12² + 8² - 2 × 12 × 8 × cos(A)

256 = 144 + 64 - 192 × cos(A)

Now, isolate cos(A):

192 × cos(A) = 144 + 64 - 256

192 × cos(A) = -48

cos(A) = -48 / 192

cos(A) = -1/4

Now, to find the measure of angle A, take the inverse cosine (cos^-1) of -1/4:

[tex]A \approx cos^{-1(-1/4)}[/tex]

A ≈ 104.48 degrees.

So, the approximate measure of angle A is 104.48 degrees. The correct option is D.

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A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles. What is the probability of exactly seven out of the next eight tires lasting over 3,000 miles?
(Round your answer to three decimal places.)

Answers

Answer:

A manufacturing corporation make tires with a probability 0.77 of lasting over 3,000 miles.

Step-by-step explanation:

The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be 0.32.

How to find that a given condition can be modelled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(X =x) = \: ^nC_x \ p^x(1-p)^{n-x}[/tex]

A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles.

The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be

P(x = 7) = ⁸C₇ (0.79)⁷  (1 – 0.79)⁽⁸⁻⁷⁾

P(x = 7) = 0.32

Learn more about binomial distribution here:

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how many distinct ways can the letters in accounting be arranged




Answers

Answer:

4 times

Step-by-step explanation:

I tried to see many ways as possible

15 points!!
I need 10-18 if you know any please help me out!!

Answers

Step-by-step explanation:

10.

angle QUR must be 180-41 = 139°

the reason : all angles on one side of the line QS around a single point (like U) must be 180°, as this represents a half-circle.

11.

the angle RUQ is larger.

the angle TUS is 90°.

therefore, SUN is 90° too. as well as TUQ and QUN.

the angle TUR is then TUS + 41 = 90+41 = 131°

and we know from 10. that QUR (or RUQ) is 139°.

therefore, RUQ is larger.

12.

when 2 lines cross, then the diagonally opposing angles are identical.

therefore,

84 = 4x

x = 21

13.

the same principle as in 10. applies.

all angles in one side of a line around a single point must be 180°.

so,

KMH + 84 = 180

KMH = 96°

14.

EBD = 90°

therefore, also ABE = 90°.

and we can imagine that BE extends straight to the other side of B having a point G there.

and then ABG = DBG = 90° as well.

and because these 90° angles and the principle of 12., we have

ABF = CBD = 90-62 = 28°

therefore,

CBE = CBD + DBE = 28 + 90 = 118°.

15.

ABF = 28°

as we calculated that in 14 already.

16.

due to the principles of 14 and 10 we have

CBA = 180 - CBD = 180 - 28 = 152°.

17.

this is not relevant to any of the pictures before.

angle A = angle B + 4

complementary angles are together 90°.

so,

A + B = 90

now we use the identity of the first equation in this main equation :

(B + 4) + B = 90

2B + 4 = 90

2B = 86

B = 43°

=>

A = B + 4 = 43 + 4 = 47°

18.

again, this is not related to any of the pictures before.

supplementary angles are together 180°.

D = 5E

D + E = 180

5E + E = 180

6E = 180

E = 30°

=>

D = 5E = 5×30 = 150°

the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point​

Answers

[tex]\huge\fbox{Answer ☘}[/tex]

we know that ,

• absicca of a point = x - coordinate of that point

• ordinate of a point = y - coordinate of that point

therefore , let the point be A( -6 , y )

also ,

we're given an another point , i.e. ,

B( 1 , 3 )

[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]

therefore , the ordinate of point A is either ( -8 ) or ( 2 )

hope helpful~

find average of first 5 multiples of 4​

Answers

Answer:

Ans- The mean of first 5 multiples of 4 is 12.

Answer:

12

Step-by-step explanation:

The first 5 multiples of 4 are:

4 , 8, 12, 16 and 20

Their average is:

(4 + 8 + 12 + 16 + 20)/5 = 12
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