what is the domain of the function

What Is The Domain Of The Function

Answers

Answer 1

Answer:

  (a)  -∞ < x < ∞

Step-by-step explanation:

Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.

  -∞ < x < ∞


Related Questions

Need help ASAP! Problem and directions in picture;)

What is the value of ?

Answers

We know, an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. Therefore, Angle V + Angle U = Exterior Angle T

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

A scale drawing of a rectangular park had a scale of 1 cm = 100 m. What is the actual perimeter of the park in meters?

10.1 and 8.8

Answers

Answer:

3780 m

Step-by-step explanation:

First, we find the perimeter of the scale drawing.

perimeter = 2(L + W)

perimeter = 2(10.1 cm + 8.8 cm)

perimeter = 2(18.9 cm)

perimeter = 37.8 cm

Now that we have the perimeter of the drawing, we use the scale to find the real perimeter.

1 cm (drawing) = 100 m (real)

37.8 cm × 100 m/cm = 3780 m

Answer: 3780 m

A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the company is paid. The expression is?​

Answers

Answer:

  3000 +219d

Step-by-step explanation:

The food booth rental revenue is ...

  11(100 +9d) = 1100 +99d

The game booth rental revenue is ...

  20(95 +6d) = 1900 +120d

Then the total revenue is ...

  (1100 +99d) +(1900 +120d) = 3000 +219d

R, P, Q act on the base AB, BC, CA triangles ABC in alphabetical order, respectively. Show that P sec A + Q sec B + R sec C = 0, if the fluid of this power system passes through the center of the triangle.​

Answers

Answer:

(i) In △ABD and △ACD,

AB=AC ....(since △ABC is isosceles)

AD=AD ....(common side)

BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP,

AB=AC ...(since △ABC is isosceles)

AP=AP ...(common side)

∠BAP=∠PAC ....from (i)

△ABP≅△ACP .... SAS test of congruence

∴BP=PC ...[c.s.c.t].....(ii)

∠APB=∠APC ....c.a.c.t.

(iii) Since △ABD≅△ACD

∠BAD=∠CAD ....from (i)

So, AD bisects ∠A

i.e. AP bisects∠A.....(iii)

In △BDP and △CDP,

DP=DP ...common side

BP=PC ...from (ii)

BD=CD ...(since △BDC is isosceles)

△BDP≅△CDP ....SSS test of congruence

∴∠BDP=∠CDP ....c.a.c.t.

∴ DP bisects∠D

So, AP bisects ∠D ....(iv)

From (iii) and (iv),

AP bisects ∠A as well as ∠D.

(iv) We know that

∠APB+∠APC=180

....(angles in linear pair)

Also, ∠APB=∠APC ...from (ii)

∴∠APB=∠APC=

2

180

=90

BP=PC and ∠APB=∠APC=90

Hence, AP is perpendicular bisector of

Step-by-step explanation:

HOPE ITS HELP YOU

A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Total distance covered is equal to ~

Number of revolutions × circumference

[tex] \sf500 \times 4.4[/tex]

[tex] \sf2200 \: m[/tex]

Hence distance covered = 2200 m = 2.2 km

At a basketball game, for every basket team A scored, team B scored 4 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is A. 1 to 3
B. 2 to 3
C. 1 to 4
D. 4 to 1

Answers

Answer:

C. 1 to 4

Step-by-step explanation:

The ratio is used to describe situations like "for how many x's, there are many y's". In this case, we are trying to find the ratio for A baskets scored to B baskets scored, team A scores one basket, then team B will score 4 baskets. Then we can write the ratio of A to B as 1:4, which is 1 to 4.

Hope I did this correctly since it was long ago that I lastly worked with ratios

Work out length AC.

10 cm
Not drawn
accurately

120
7 cm

Answers

Step-by-step explanation:

Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.

can anyone plz help me with this math problem

Answers

the answer to the question is f=1

scores on a test have a mean of 66 and Q3 is 80. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.
A) 10.5
B) 20.9
C) 9.4
D) 18.7

Answers

The correct answer is B

i need answer please I got a them wrong ​

Answers

Answer:

See image

Step-by-step explanation:

I'm guessing a little bit, bc although you attached an image, it doesn't say what you are trying to prove, nor what you are given. Usually that is provided for a proof.

But we can see that the parallel segments are marked, so we'll call that the given information. Then there are actually two pairs of corresponding angles that are congruent by the Corresponding Angles postulate. But we only need one pair. Then Angle A is congruent to itself by Reflexive Property. Finally what we have proven is that the two triangles ABC and ART are similar by AA

The staff at Aretha's Furniture built 60 chairs and stools in one day. It takes one person 3 hours to produce a chair and 2hours to build a stool. How many of each were made if the staff of 12 people worked 8 hours each? x+y= 60; 3x + 2y = 96 x + y = 96; 2x + 3y = 60 You can use a system of equations to find the answer. Let x = the number of chairs, and y = the number of stools. x + y = 60; 2x + 3y = 12 x+y= 60; 3x + 2y = 12 +​

Answers

Answer:

Number of chairs = 24

Number of stools = 12

As about the question number 2, I think you should check whether the question you copied is correct are not.

Step-by-step explanation:

1. One person,

Three hours for a chair and two hours for a stool

Therefore, 12 people working for 8 hours;

Per person produced two chairs and one stool as 3+3+2=8 hours

12×2= 24 chairs and 12×1=12 stools.

Can someone please take the time out of they’re day and help me and with this question

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line

m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50

The line crosses the y- axis at (0, 100 ) ⇒ c = 100

y = 50x + 100 ← equation of line

where y is monthly savings and x the time in months

(b)

Slope is the monthly deposit , that is $50 per month

The y- intercept indicates the original amount in her account , that is $100

X=8,2x+y=12 solve by substitution show work

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's substitute the value of x as 8 in the given equation to find the value of y ~

[tex] \sf2x + y = 12[/tex]

[tex] \sf(2 \times 8) + y = 12[/tex]

[tex] \sf16 + y = 12[/tex]

[tex] \sf y = 12 - 16[/tex]

[tex] \sf y = - 4[/tex]

solve: 8+ x/2= 1/4 (x-4)-1
A. X = -40
B. X = 40
C. There are infinitely many solutions.
D. X = -24

Answers

|3x+1|=4 : x=−
5
3 ​or x=1
Pasos
|3x+1|=4
Aplicar las propiedades de los valores absolutos: Pi |u| = a, a>0 entonces u = a or u = −a
3x+1=−4 or 3x+1=4
Mostrar pasos
3x+1=−4 or 3x+1=4

1/2x divided by 3=6 what is x

Answers

Answer:

x = 36

Step-by-step explanation:

1/2x ÷ 3 = 6=> 1/2x × 1/3 = 6=> 6 x 1/6x = 6 x 6=> x = 36

Conclusion:

Therefore, the answer is 'x = 36'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

9 13 / 16 + 10 3 / 8 =

Answers

It equals 20 3/16, or 20.1875

The table displays the amount of money Stephen has in his piggy bank.

Stephen’s Piggy Bank
Types of Coins Amount ($)
Quarters 7.50
Dimes 6.00
Nickels 5.50
Pennies 3.00

Which answer choices accurately approximate a comparison between the value of the dimes in the piggy bank and the total value of Stephen’s coins?
Select all the correct answers.


Answer choices:
6%
3/11
6/22
60%
27%
3/5

Answers

Answer:

The answer is 27%, 6/22, and 3/11.

Pls mark brainliest. :D

2y-7.4y=141.36
solve for y

Answers

2y-7.4y=141.36
-5.4y=141.36
-y=141.36/5.4
y= -26.1777778 or -26.18

how many integers between 100 and 999 (inclusive) have distinct digits

Answers

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

       

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

Find the inverse function. f(x) = (x + 1​

Answers

Answer:

( x + 1 ) ^ 3

Step-by-step explanation:

f(x) = 3√x - 1

replace x with y

x = 3√y - 1

solve for y,

x = 3√y - 1

x^3 + 3x^2 + 3x + 1 = (x+1)^3

HOPE THIS HELPS :)

Jeremy's dog is on an 11-foot leash that is tied to a pole, as shown in the diagram.

What is the area of the circle in which the dog can run? Use 3.14 for PI. Round your answer to the nearest square foot.

O 69 square feet
O 108 square feet
O 380 square feet
O 1520 square feet

Answers

Answer:

380

Step-by-step explanation:

area of a circle is pir^2

3.14(11)^2

3.14(121)

=380sqft

Which of the following statements is the only
sentence that is error-free?

Answers

I don’t really know what the answer is

2.4x-9.1x+12.5= -39.44
Solve for x

Answers

Answer:

x= 2597/335

Step-by-step explanation:

collect like terms

2.4x-9.1x= -6.7x

-39.44-12.5 = -51.94

-6.7x=-51.94

divide both sides by -6.7

x= 2597/335

I have no idea how to do this. Please help. ​

Answers

Answer:

Area is 5 cm and perimeter is 12 cm

Step-by-step explanation:

Area: top left sqare:

1cm * 1cm = 1 cm

bottom rectangle:

1cm * 3 cm = 3 cm

top right square:

1cm * 1cm = 1 cm

Perimeter:

1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm  = 12 cm

Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle schools. How many students will Cristine find when she gets to high school?
A) 900
B) 1100
C) 2200
D) 2500

Answers

Answer: C) 2200

Step-by-step explanation:

Jane wrote all natural numbers from 5 to 12. including 5 and 12.

how many numbers did Jane write?

Answers

8 numbers including 5 & 12 :)

What is the equation of the oblique asymptote?
h(x) = x² – 3x - 4/x + 2

Answers

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

Cynthia gave 1/5 of her toys to her little sister. If she had 25 toys, how many did she give away?

Answers

Answer:

25*1/5(or 0.2)=

5

she gives a way 5 toys

Hope This Helps!!!

The number of toys that she gives away will be 5.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Cynthia gave 1/5 of her toys to her little sister.

If she had 25 toys.

Then the number of toys that she gives away will be given by the product of 25 and 1/5.

⇒ 25 x 1 / 5

⇒ 5

The number of toys that she gives away will be 5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

How is Maths used in Construction??
Can someone help me with 10 - 15 pages

Answers

Answer:

They measure the area, volume, length, and width, in construction

10 - 15 = -5

Step-by-step explanation:

HOPE THIS HELPED

*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*

In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)

(solve this using Elimination Method, MUST SHOW WORK)

Answers

Answer:

23 starfish, 7 octopi

Step-by-step explanation:

x=starfish

y=octopi

x+y=30

5x+8y=171

-5(x+y=30)

5x+8y=171

-5x-5y=-150

5x+8y=171

3y= 21

y=7

x+7=30

x=23

23 starfish, 7 octopi

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