How are the pieces of a step function related to the domain of the function? Justify your thinking.

Answers

Answer 1

Step-by-step explanation:

As we know, for any function domain is referred to as the set of input values that can be taken for an independent variable in the given function. Range of a function is defined as the set of output values generated for the domain (input values) of the function. In the case of a step function, for each value of x, f(x) takes the value of the greatest integer, less than or equal to x. For example:

[-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer 2
As we know, for any function domain is referred to as the set of input values that can be taken for an independent variable in the given function. Range of a function is defined as the set of output values generated for the domain (input values) of the function. In the case of a step function, for each value of x, f(x) takes the value of the greatest integer, less than or equal to x.
For example:
1-2.191 =-3
13.671 = 3
[-0.831 = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on.
This explains the domain and range relations of a step function.
ANSWER

Related Questions

BEST ANSWER GETS BRAINLIEST! PLEASE HELP! Joanna and Linne were trying to describe parts of the expression 3x²+x+5. Joanna said, "The entire expression is the sum of 4 terms." Linne said, "The coefficients are 3 and 0." Who is correct?

Answers

Yes it would be C because the coefficients are 3 and 1

The expression  3x²+x+5 is the sum of 3 terms and coefficients are 3 and 1 therefore, Neither Joanna nor Linne is correct.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

3x²+x+5.

According to Joanna, the entire expression is the sum of 4 terms.

and according to Linne the coefficients are 3 and 0.

Since, The expression is the sum of 3 terms:

Square power of x, x and a constant 5.

Also, the coefficient of x² is 3 and coefficient of x is 1.

Therefore, the Joanna and Lienna both are wrong.

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Please help me, I'm stuck

Answers

Answer:

20 cm²

Refer to the attached page,I've shown the complete calculation over there.

I hope this helps you...

20 cm is the answer to the problem

Qiang wants to tile a 3 ft x 3 ft entryway. Estimate to determine which style of tile will be the least expensive for this project.​

Answers

Answer:

I think D because it seems the most reasonable

The answer would be D.

a two digit number has three times as many tens than ones. The difference between the number and twice the reversed number is 15.Find the number

Answers

olution

verified

Verified by Toppr

Let the one's digit be y and tens digit be x,

Number = 10x + y

Then,x=3y⋯(i)

Reversed number = 10y + x

A.t.Q :- (10x+y)−(10y+x)=36 Put x = 3y in eq. (i)

⇒9x−9y=36

⇒x−y=4⋯(ii)

⇒3y−y=4

∴2y=4  x=3y  ∴x=6

y=2

∴ Number = 62

The answer is 93
3x3=9
93-39-39=15

PLEASE HELP FAST I NEED THIS QUICKLY
One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
a table of values
What was the experimental probability that the tack lands point-up for student 7?

0.800

0.833

0.200

Answers

Answer:

0.833

Step-by-step explanation:

1. locate which vertical column of the graph we are referring to:

student 7

2. calculate the total number of trials student 7 did:

if in 5 trials the tack landed point-up, and in 1 trial the tack did not land point-up, the total number of trials is 65 + 1 = 6

3. refer back to the question:

the question states: "what is the experimental probability that the tack lands point-up"

4. interpret the graph:

of the 6 trials student 7 underwent, the graph tells us that 5 landed point-up. therefore the experimental probability of a tack landing point up is 5/6 (in 5 out of the 6 trials, the tack landed point-up)

5. converting from fraction to decimal:

all the given answers are given in decimal form, whilst our current answer (5/6) is in fraction form. to convert to decimal form, simply divide the top number by the bottom number5 ÷ 6 = 0.833

therefore, the experimental probability that the tack will land point-up, is 0.833

hope this helps :)

Answer:

Step-by-step explanation:

hot water bottle for kids in your job in hindi

prepare pamphlet on the necessity to preserve ancient buildingexpress 17.1777... in the form p/q where p and q are integers and q ≠ 0Choose one SDG and try to identify a real world problem related to your chosen SDG and design a 4W Canvas Template.times from a height of six inches onto a level hard surface. they record the number of times the tack lands point up. the table below lists their results.

a table of values

what was the experimental probability that the tack lands points is it

I NEED A COPY PHOTO OF THIS

draw two different possible structures of a saturated hydrocarbon having four carbon atoms in its molecule what are these two structure called writing the molecular formula

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In a survey of a community, 60% of people liked summer season, 70% liked winter season and 15% liked none of the seasons.

a. Illustrate the given information in a venn diagram.

b. Find the percentage of the people liked both the seasons.

c. If 180 people liked summer season only, how many liked winter season only? ​

Please answer me
and pls don't answer anything wrong for getting points only .
●•●
●•●
●•●
●•●

Answers

Answer:

Step-by-step explanation:

n(U)=100%

n(S)=70%

n(W)=15%

n(S union w compliment)=20%

n(s intersection W)=?

n(u)=n(s)+ n(w)+ n(s union w compliment)- n(s intersection w)

or 100%=70% +15%+ 20% - n( s intersection w)

or 100%= 95%- n(s intersection w)

or 100%-95%=n(s intersection w)

or 5%= n( s intersection w)

now;

n(only w)=n(w)- n(s intersection w)

              =15%- 5%

               =10%

10%of people only like winter season.

i think the question is to find people who only like winter season.

if not then ans is 15% according to question.

a) The illustration of the given information in a Venn diagram is attached.

b) The percentage of people who liked both seasons is 45%.

c) If 180 people liked the summer season only, proportionately, the number of people who liked the winter season only is 300.

How the Venn diagram is illustrated:

The Venn diagram, which shows similarities and contrasts, can be illustrated based on the given percentages.

Percentages are one of the ways to depict proportions, which are the equation of two ratios.

The percentage of survey people who liked the summer season = 60%

The percentage of survey people who liked the winter season = 70%

The percentage of survey people who liked none of the seasons = 15%

The percentage of participants who liked one of the seasons = 85% (100% - 15%)

The total percentage of survey people who liked either summer or winter = 130% (60% + 70%)

b) The percentage of survey people who liked both seasons = 45% (130% - 85%)

The percentage that liked only summer = 15% (60% - 45%)

The percentage that liked only winter = 25% (70% - 45%)

c) 180 people liked summer only

180 = 15%

Proportionately, if 180 = 15% of the people, the total number of people = 1,200 (180/15%)

The number of people who liked winter season only = 300 (1,200 x 25%)

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20 POINTS+BRAINLIEST 8TH GRADE MATH PART 4: Imaginary operations- please explain how you came to the answer because this doesn't make sense

Answers

[]b = 6b - 12

we can start by seeing that b is being multiplied by 6 so we should do the same to 4.

6 * 4 = 24

Next we see that 12 is being subtracted from b so we should do the same to 4.

24 - 12 = 12

Therefore, 12 is your final answer.
The correct is B (12). So []b =6b-12 which means that the expression is just 6*the number -12. So, when you substitute 4 in for b it would turn into 6*4-12 which is 24-12 or 12.

the sum of the length of a side of two squares is 18cm and the sum of their areas is 212 cm^2. find the length of a side of the smaller square​

Answers

Answer:

Hope the picture will help you......

The bigger square is 14cm and the smaller square is 14cm

Hope this helps

Find the acute angle between two diagonals of quadrilateral ABCD if it is known that AB=BC=CD and AC=BD=AD.

Answers

Answer:

45⁰

Step-by-step explanation:

The quadrilateral ABCD is a square.

Since the question stated that all the sides are equal. (AB=BC=CD)

It also stated that the diagnonals are equal. (AC=BD=AD)

I wish I could draw to explain this easily

A square has four right angles.

A right angle is a 90⁰ angle.

The diagonals divide each 90⁰ angle by 2

I hope you know what a diagonal is.

It is a line from a corner of the square to the opposite corner. This cuts the square into two equal sides.

After drawing the first diagonal two triangles of equal size will be seen.

After drawing the second diagonal the two triangles that appeared will each be cut into halves.

Now, you'll have four equal triangles.

think of it as a square pizza cut into four slices...

Uh huh , now you understand

The Answer is 45 degrees

I NEED HELP WITH NUMBER FIVE- NUMBER FOURS ANSWER IS 108

Answers

Answer:

s = 36b

Step-by-step explanation:

252/7 = 36, so maximum of 36 students can fit in one bus. The equation is s = 36b.

answer will be s=36b

HELP PLEASE!!! I NEED ITTTTT!!!!!

Answers

The answer is D
For some reason Brainly won’t let me post my explanation

PLEASE HELP ME ASAP I REALLY NEED HELP!!!

Answers

1) [tex]\overline{UP}[/tex]

2) [tex]\overline{UP} \cong \overline{UP}[/tex]

3) [tex]\overline{UR}[/tex]

4) [tex]\overline{PR}[/tex]

5) [tex]\triangle OUP \cong \triangle RUP[/tex] by SSS

6) CPCTC

Is Figure B a scale copy of Figure A?

Answers

Yes Figure B is a scale copy of Figure A

Yes, the Figure B is a scale copy of Figure A.

Given that are two figures we need to see if the Figure B a scale copy of Figure A or not.

To determine if Figure B is a scale copy of Figure A, we need to compare the two figures and check if they have the same shape but differ in size. A scale copy means that Figure B is an enlarged or reduced version of Figure A, but the proportions and shape of the two figures remain the same.

We see the side lengths of Figure A are: 6 units, 3 units, 3 units, 3 units, 6 units.

And that of Figure B are: 2 units, 1 unit, 1 unit, 1 unit, 2 units.

Taking the ratio = 6/2 = 3/1 = 3/1 = 3/1 = 6/2 = 3

So, it is clear that the side lengths are in equal proportion.

Hence the Figure B is a scale copy of Figure A.

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HELPP!!! Isn't one of the answers supposed to be 3?????

Answers

Step-by-step explanation:

well, it is supposed to be -3.

but you are right. something is wrong or missing here.

5x + 3 = 4x

x + 3 = 0

x = -3

maybe a "+ 1" is missing on the right side ?

5x + 3 = 4x + 1

gives us

x = -2

Basically the equation is 5•2+3 which is 13 because you multiply 5 and 2 first then whatever answer you get plus 3

7. A) The perimeter of a rectangle is the sum of the lengths of its four sides. Write an
expression for the perimeter of the rectangle and then evaluate when x = ½ foot.

B) The area of a rectangle is the product of its length and width. Write an expression
for the area of the rectangle and then evaluate when x = ½ feet.
**SHOW WORK!!**
x
3x+1
PERIMETER EXPRESSION:__________When x=1/2 foot :_________

AREA EXPRESSION:______________When x=1/2 foot :__________

Answers

Answer:

expression:3(1/2)+1 ; 2 1/2

Step-by-step explanation:

Combine 3 and 1/2

3+1/2

=5/2

Simplify the expression.

=5/2

=2

Simplify :

-4.7 + 6.5n - 5 ( 1.2n - 3)

Answers

Answer:

QSWCXAD

Step-by-step explanation:

QSQWW

Answer:

10.8

Step-by-step explanation:

Pls help
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag. Write two different scenarios: one that is a dependent event and one that is an independent event.

Answers

P(red) = 4/15
P(black) = 6/15
P(red or black)
= 4 / 15 + 6 / 15
= 10 / 15
= 2 / 3
Hope this helps P(red)= 4/15
P(black)= 6/15
P(red or black)= 10/15
Independent= 2/3

How can you rewrite the number 1 as 10 to a power?
How can you rewrite the number 1 as 2 to a power?

Answers

Answer:

To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).

Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...

2^1

-----

2^1

Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...

2^1-1

...because of the quotient rule. And what does 1-1 equal? 0. So you'd get

2^0

This is known as the "zero-exponent rule!"

Hope this helped.

Step-by-step explanation:

10 raised to the 0 (10^0) and 2 raised to the 0 (2^0)

DESCRIBE
Hank and Tim are going on a hike. Hank is starting at an
altitude of 126 feet below sea level and Tim is at an altitude 33
feet higher than Hank. The situation can be represented with
the equation below:
-126+33=-93
Explain what -93 represents in the situation.

Answers

Answer:

It represents the height between Hank and Tim on the Mountain/ Or how much higher is Tim than Hank.

Step-by-step explanation:

Since Tim is higher than Hank on the Mountain, and he is on 33 above, and Hank is 126 feet below, this represents the height between Hank and Tim on the Mountain.

-93 represents tim is at 93 feet below the sea level

help asap
What is a name for the marked angle?

Answers

i’m pretty sure obtuse?
It’s EAD and it’s an obtuse angle

There are 60 minutes in 1 hour. How many minutes are there in 12 hours?

Answers

Answer:

720 minutes

Step-by-step explanation:

We need to multiply to determine how many minutes in 12 hours in this problem.

Since there are 60 minutes in an hour, multiply 60 by 12:

we get 60 × 12 = 720

So the final result is 720 minutes.

Hope this helps :)

^ what they said ^ have a good day ;)



1727373

How many 5-digit numbers can be formed from using numbers 0-9?

Answers

Answer:

100,000

Step-by-step explanation:

From 0 to 99,999.

99,999 + 1 = 100,000

Also, there are 5 digits, and each digit can be one of ten.

10 × 10 × 10 × 10 × 10 = 100,000

Answer:

90 000 possibilities

Step-by-step explanation:

I will assume that numbers beginning with  0  are not valid  

  AND assume you can repeat the numbers

9 choices for first digit    ( because you can't use ' 0 ' )

10 choices for second

10 choices for third

10 choices for fourth

10 choices for last

9 x 10 x 10 x 10 x 10 = 90 000

PLEASE HELP
What is the area of the triangle pictured?



516 sq. units


896 sq. units


448 sq. units


224 sq.units

Answers

Answer:

224

Step-by-step explanation:

a = (bxh)/2

a = (28x16)/2

a = 448/2

a = 224

Answer:

224 Sq. units

Step-by-step explanation:

A=16x28= 448 sq

=448/2

=224 Sq. units

I hope it's right

Separate the rational from irrational

Answers

3pi is irrational
pi is irrational
square root of 101 is irrational

- square root of 25 is rational

Answer:

Step-by-step explanation:

101 squared not rational

-25 squared is rational

I'm not good at this kind of meth :C

Is Figure B a scale copy of Figure A?

Answers

Yes
Reason - scale factor of b is 2 meaning each side has to be x2 to give you the points of A
Yes, each side got multiplied by 2 in figure A so it is a scale copy.

Solve for b in the following equation. x/6 - 2 = 4 b = 24 b = 12 b = 1 b = 36

Answers

Answer:

-6

Step-by-step explanation:

your equation isnt in slope interecept form

y=mx+b

4=x/6-2 is what is see

so i would assume b is -6

The answer is -6
I hope it’s right

(07.06) Which of the following graphs shows all the possible values for a number that is more than 8?

Number line with closed circle on 8 and shading to the left.
Number line with closed circle on 8 and shading to the right.
Number line with open circle on 8 and shading to the left.
Number line with open circle on 8 and shading to the right.

Please get to me soon!!!

Answers

Answer:i think C or E!

Step-by-step explanation:

Answer:

Its either C or E, I'm not sure

Select each expression that is equivalent to 3(n + 6). Select all that apply. (ANSWER ASAP)
A.
3n + 6

B.
2(n + 6) + (n + 6)

C.
2(n + 6) + n

D.
3n + 18

E.
2n + 2 + n + 4

Answers

Answer:

Step-by-step explanation:

This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.

3(n+6)

To simplify it, you have to multiply the first number by each number in the parenthesis, separately:

3(n+6)

3n + 3(6) or 3xn + 3x6 (same thing)

3n+18

Finally, we can check the other 4 choices to double check.

A. 3n+6 (wrong)

B. 2(n+6) + (n+6)=

2xn + 2x6 + n + 6

2n + 12 + n + 6

combine like terms, or all the terms that are the same. start with the Ns, then the numbers:

2n+n + 12+6

3n+18

C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12

D.3n+18

E. 2n+2+n+4= 2n+n+2+4= 3n+6

Answer= B and D

hope this helps :))

Answer: 3n+18 bcz of the distributive property

Step-by-step explanation:

b & d

Can some please explain how to do this ?

Answers

Answer:

[tex]4^{2} = 4 x 4 =16[/tex]

Step-by-step explanation:

First of all we need to understand what a perfect square is:

It is an integer which is the square of another integer integer; in other words, it is the product of some integer with itself.

For example: 9, this is a square number since itt equals [tex]3^{2}[/tex] and 3x3 = 9

4x4= 16 when a number is squared like, in this case, 4, you multiple it twice. for instance, 8 squared would be 8x8. it applies to all numbers.

Separate the rational from irrational

Answers

Answer:

101 squared not rational

-25 squared is rational

pi or any number times pi is not rational

Step-by-step explanation:

101 is not rational
-25 is rational
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