What is domain restrictions and what causes them?

Answers

Answer 1
Domain restrictions are values of x which are not acceptable in a function.

They may be arbitrary because we simply want to ignore them. eg y = x^2 between 0 and 4

They may make no sense in the context, eg graph a compounding investment over next 20 years.
Negative values for x make sense here.

They may avoid mathematical impossibilities eg y = (x^2 - 4x) / (x - 4) which must avoid dividing by zero, so x cannot = 4.
The graph will look like the line y = x but have a hole where x= 4

Related Questions

Help please!
It takes 1 3/4 hours to cook a large chicken in the oven. What is this in minutes? -pic attached

Answers

Answer:

105 minutes

Step-by-step explanation:

[tex]1 \frac{3}{4} = 1 hour + \frac{3}{4} hour[/tex]

1 hour = 60 minutes

[tex]\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes[/tex]

[tex]Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes[/tex]

The values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

It takes [tex]1\dfrac{3}{4}[/tex] hours to cook a large chicken in the oven.

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 1 hours + 3/4 hours

∵ 1 hour = 60 minutes

∴ 3/4 hours = (3/4)×60 = 45 minutes

Substitute the values in above equation,

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 60 minutes + 45 minutes

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 105 minutes

Hence, the values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

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Find the volume of the sphere.

Either enter an exact answer in terms of π or use 3.1414 for π.

~Show all works~
~Have a great day~

Answers

Answer:

288pi or approximately 904.32

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3 where r is the radius

V = 4/3 pi (6)^3

V = 288 pi

If we use the approximation for pi

V = 288(3.14)

V =904.32

Answer:

V = 288π units³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or

V = (4π/3)(216 units³), or V = 288π units³

Can someone help me out? I'm stuck. i think I've got the layout but I'm not sure??

Answers

Answer:

5.83 ft

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

3² + 5² = c²

9 + 25 = c²

34 = c²

c ≈ 5.8309 ≈ 5.83

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If your string is 95 cm long and the second string is 650 mm, then how many mm are the two line segments together

Answers

Answer:

1600mm

Step-by-step explanation:

total length of the line segment = length of the first string + length of the second string

to add the strings together, convert the length of the first string to millimetre

1cm = 10mm

95 x 10 = 950mm

950mm + 650mm = 1600mm

20 pounds to 16 pounds is what present

Answers

Answer:

Decreased by 20%.

16 lbs is 80% of 20 lbs.

Step-by-step explanation:

[tex]\frac{y}{100} :\frac{16}{20}[/tex]

y × 20 = 16 × 100

20y = 1600

20y ÷ 20 = 1600 ÷ 20

y = 80

100% - 80% = 20%

PLEASE HELP DUE SOON PLEASE

Answers

Answer:

a.) He should shade in two

b.) This is because 7 is the magic number. This is in the sense that on player B's next turn there will be either 8 or 9 colored circles, which means you can just fill in the remaining amount.

Step-by-step explanation:


Why was Elmo's Report Card All Wet?

Answers

Answer:

why was it ‍♂️

All of his grades were down below c level

hehe

=)

[(-2)⁴ + 3.(3² - 1)]: [(-2)³ + 3.2² ]

Answers

Here is your answer, : )

I will mark you brainliest if you answer this
show your working
8)(7x3 + 3x2+ 4x + 10) – (10 + 8x + 3x3)
9)(5x4– 4x3– 3x – 4) – (2x – 6x3– 2x4)
10) (7x3– 9x2– 7x – 8) – (8 – 4x2– 6x3)
11) 4(a + 5) – 5(a2– 4a + 7)
12) 8(y + 6) – 6(y2– 6y + 4)
13) 3(c – 4) – 5(c2+ 4c – 8)

Answers

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]

8.

[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]

9.

[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]

10.

[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]

11.

[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]

12.

[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]

13.

[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Which angle is NOT coterminal with 5pi/4
radians?

Answers

Answer:

im in ur math class dawg lol

Step-by-step explanation:

Please help asap. Thank you! :)

Answers

When he cubed ,

Result is x³

On further squaring x³, he got = (x³)²

[tex] {x}^{6} [/tex]

Therefore, k = 6

If the volume of the cylinder is approximately 1,357 in3, what is the radius?

Answers

whats the height of the cylinder....

we cant find radius if not given height too

V = pie r^2 h

1357 = 22/7 x r^2 x 12

1357 = 264/7 r^2

multiply both side by 7/264 ;

r^2 = 36

r = 6in

The question has the image missing. Check the attachment for the complete question.

The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

What is the volume of a figure?

The volume of a figure is the total space enclosed within the figure.

How do we determine the volume of a cylinder?

The volume of a cylinder of radius r units, and height h units is determined using the formula,

The volume of the cylinder = πr²h.

How do we solve the given question?

In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.

The volume of the cylinder is given to be 1357 in³ approximately.

By the formula,

The volume of the cylinder = πr²h

or, 1357 = 3.14*(r²)*12

or, 1357 = 37.68r²

or, r² = 1357/37.68

or, r² = 36.013 ≈ 36 = 6²

∴ r = 6.

∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

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Explain how the vertical line test can be used to determine if a graph
is a function.

Answers

Answer:

Step-by-step explanation:

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Example:

Answer:

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Kevin plants a 5-yard by 9-yard rectangular vegetable garden. He puts rope around the edges. The rope costs $2 per yard. What is the total cost of the rope?

Answers

The total cost of rope would be 28 dollars

If m and n are two natural number and m^n =8,then n^mn is.​

Answers

Answer:

729

Step-by-step explanation:

M has to be 2 and n has to be 3, because 2^3 = 8

if it was 3^2 it would be 9

2^3 = 8

3^(2*3) = 3^6 = 729

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the value of x.

Answers

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.

1. If we graph the equation, what is the slope of the graph?

2. Where does the graph intersect the y-axis?

3. Where does it intersect the x-axis?

Answers

Answer:

slope = -1/3

y-intercept = 4

x-intercept = 12

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

----------------------

rearrange into slope intercept form

1.5x + 4.5y = 18

subtract 1.5x from both sides

4.5y = -1.5x + 18

Divide both sides by 4.5

y = (-1/3)x + 4

------------------------

Slope

m = -1/3

---------------------

y-intecept

b = 4

---------------------

x intercept

this is where  y = 0

0= (-1/3)x + 4

add (1/3)x to both sides

(1/3)x = 4

Multiply both sides by 3

x = 12

10
c T is 4 units high. It is enlarged with a
scale factor of 4.
How high is the image?

Answers

Answer:

it is 14 pls make me brainliest pls

Step-by-step explanation:

A square pyramid and its net are shown below. What is the surface area of the pyramid?

Answers

Answer:

376

Step-by-step explanation:

16×16+16×15÷2

=256+120

=376

376 is the anwser because i just did this test

. There are 575 students in a school. If the number of girls is 54 more than the boys
how many boys are there in the school ?Find✌✌​

Answers

there are 314.5 boys in the school .

Answer:

Solution given

let boys be x and girls be y.

now

according to the question;

x+y=575

and

y=x-54

substituting value of y in equation 1.

x+x-54=575

2x=575+54

x=629/2

x=314.5

Need help with this question

Answers

corresponding sides are proportional

1. Which term below could not be part of a polynomial expression?
- 3x
2
(1)
(3) x2
(2) 13
(4) 5x

Answers

i think it’s either 13 or 4x

Two adjacent angles form an obtuse angle measured 164°. If m<1 = 3x+5 and m<2= 5x+9, find the measurement of the larger angle. Plz help and don't answer if you don't know for sure :) thxx

Answers

Answer:

102.75

Step-by-step explanation:

The two angles add to 164

<1 + <2 = 164

3x+5  + 5x+9 = 164

Combine like terms

8x+14 = 164

Subtract 14 from each side

8x+14-14 =164-14

8x = 150

Divide by 8

8x/8 = 150/8

x = 18.75

The larger angle is 5x+9 = 5(18.75) +9 =102.75

Find the slope of the line that passes through (10, 4) and (6, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4

Step-by-step explanation:

The given points son the line are; (10, 4), and (6, 3)

The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, the slope of the found line is given as follows;

(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)

[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]

The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4

Which graph shows the solution to the system of linear inequalities? ​

Answers

Answer:

Send q picture of the graphs so I can help

Step-by-step explanation:

need pictures of graph

simplify the following: 4(y + 2)

Answers

Answer:

answer

4( y+ 2 )

4y + 8

y = 8/4

y = 2

Answer:4

(

+

2

)

4(y+2)

4(y+2)

Simplify

1

Distribute

4

(

+

2

)

{\color{#c92786}{4(y+2)}}

4(y+2)

4

+

8

{\color{#c92786}{4y+8}}

4y+8

Solution

4

+

8

Step-by-step explanation:

Given sin=300° , determine which of the following is an equivalent expression.
a) sin 60°
b) sin 240°
c) sin 200°
d) sin 120°

Answers

Answer:

b. 240

Step-by-step explanation:

sin of 300 is equal to -.86

sin of 240 is equal to -.86

use calculator

Look at the figure. If m 2JKM = 48, find m2).

Answers

Answer:

42 degrees

Step-by-step explanation:

triangle sum theorem says the sum of all triangles is equal to 180. I'm assuming this is a right triangle, so I created an equation similar to this:

90 + 48 + x = 180

I got it wrong because I’m not too good in math but help a girl out, please

Answers

Answer:

24 is right

Step-by-step explanation:

Please help with my math! Question number 2

Answers

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

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Read the recipe for making brownies.1 egg1/2 cup of softened butter2 cups flour1 cup sugar1 cup of sweetened cocoa2 teaspoons baking soda1 teaspoon salt1. Preheat the oven.2. Mix the eggs and butter in a bowl until smooth.3. Add the flour, sugar, cocoa, baking soda, and salt to the bowl.4. Mix the ingredients until thick and creamy.5. Pour the mixture into a 9x12-inch non-stick baking dish.6. Bake for 25 minutes.Which step in this recipe needs additional information for the brownies to bake correctly?step 1step 2step 4step 5 Emile has calculated a one-tailed z-statistic of -1.97 and wants to see if it is significant at the 5% significance level. What is the critical value for the 5% significance level? Answer choices are rounded to the hundredths place. slope of 3,-4 and 5,8 Two cubical dice each have removable numbers 1 through 6. The twelve numbers on the two dice are removed, put into a bag, then drawn one at a time and randomly reattached to the faces of the cubes, one number to each face. The dice are then rolled and the numbers on the two top faces are added. What is the probability that the sum is 7?a. 3/8 b. 2/11c. 2/3d. 1/3e. 2/9 For the past month, you have gotten into a good routine of going running three to four times per week and doing strength training at least two times per week. The only problem is that you always run out of time and forget to stretch. What consequence might you experience over time? the straight line y=5x-1 does not intersect the curve y=2x+x+p.Find the range of values p. Hadoop is : open source software framework designed for distributing data-processing over inexpensive computers. data mining platform designed for storing and analyzing big data produced by web communications and transactions. high-speed platform used to analyze large data sets pre-configured hardware-software system designed for analyzing big data. NoSQL database technology that stores both data and procedures acting on the data as object Pls help Ill give u some of those brain things Question: What is x???? Generals are usually judged by how successful they are in battle. By this measure George Washington was not a very good general, fighting nine battles and winning only three. But what other important contributions did Washington make that helped the Americans win the war and establish a lasting republic My buddy and I are planning a shore dive. we're descending onto a very gradual slope that begins at 5 m/15 ft, so our descent and ascent will be a gradual part of swimming out and back underwater. we have similar cylinders filled to 2000 bar/3000 psi. We plan:- 50 bar/500 psi reserve- 20 bar/300 psi for our safety stop- to turn the dive when we've used 1/3 of the air available to use on the diveThis means we should head back when either of our SPGs readA. 70 bar/800 psiB. 145 bar/1900 psiC. 157 bar/2270 psiD. 170 bar/2500 psi someone hit her on her head change into yes/no questions On the first day of the fiscal year, Hawthorne Company obtained an $88,000, 7-year, 5% installment note from Sea Side Bank. The note requires annual payments of $15,208, with the first payment occurring on the last day of the fiscal year. The first payment consists of interest of $4,400 and principal repayment of $10,808. The journal entry Hawthorne would record to make the first annual payment due on the note would include a Group of answer choices debit to cash for $15,208 credit to notes payable for $10,808 debit to interest expense for $4,400 debit to notes payable for $15,208 I been in this question for many hr pls help me Which lists all the lines that are parallel to line s? Can someone explain this to me. am i supposed to input the x=4 into each X spot or what??? please help thank youuuu Please help I will give you Brainlyest HelpHelpHelpHelpHelpHelp Write two simple sentences about education a/ one sentence using one subject and two verbs b/ one sentence using two subjects and two verbs