Can someone explain what is domain and range? Gcse math level please

Answers

Answer 1
The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3} take a look at the picture e.g Here, the domain is the set {A,B,C,E}
{
A
,
B
,
C
,
E
}
. D
D
is not in the domain, since the function is not defined for D
D
.

The range is the set {1,3,4}
{
1
,
3
,
4
}
. 2
2
is not in the range, since there is no letter in the domain that gets mapped to 2
2
.

Related Questions

Which of these is a counterexample to the conditional statement, "If a number ends in the digit 5, then it is divisible by 3"

Answers

Answer:

5 times 3 is 15 and if you divide 3 by 15 you answer will be 5

Step-by-step explanation:

You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pull the plug, there are 10 gallons left.

Assume that the number of gallons varies linearly with the time since the plug was pulled.


Write the particular equation expressing the number of gallons (g) left in the tub in terms of the number of seconds (s) since you pulled the plug.​

Answers

Answer:

g = -3/20s + 19

Step-by-step explanation:

Let's assume this is a function

The points are

(40, 13) and (60, 10)

Since it is linear relation, we'll get the slope intercept form

g = ms + b, where g- number of gallons, s- time in seconds, b- y intercept

Using the points, let's calculate the formula

m = (10 - 13)/(60 - 40) = -3/2010 = -3/20*60 + b10 = - 9 + bb = 19

So the formula is:

g = -3/20s + 19

1)
Which of the following is an example of mistaking correlation for causation?
A. Running more frequently causes you to buy more running shoes.
B. Living in a Spanish-speaking country causes you to do poorly on the AP
English exam
C. Not going to school causes you to do poorly on the AP English exam.
D. Running more frequently causes you to buy more running outfits.
ОА
OB
Ос
OD
HINT
SUBMIT
2)

Answers

C

because The rate of kids that do attend, work more efficiently

Twelve large bottles of water cost $9. How many bottles can you buy for $3?

Answers

Answer:

4

Step-by-step explanation:

12/3= 4

Answer:

4 bottles

Step-by-step explanation:

Use a proportion.

12 bottles are to $9 as x bottles are to $3.

12/9 = x/3

4/3 = x/3

x = 4

Answer: 4 bottles

What is 50/45 simplified

Answers

Answer:

10/9 is the simplified fraction for 50/45.

Step-by-step explanation:

2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
might describe Peter's drawing?
1.
II.
AC and AP are parallel.
PAC is an angle
AC and AP are perpendicular
III.
A. I and 11
B. II and I
C. I and 111
D. I, II, and III

Answers

Complete question is;

Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

might describe Peter's drawing?

I. AC and AP are parallel.

II. PAC is an angle

III. AC and AP are perpendicular

A. I and II

B. II and III

C. I and 111

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We are told that Peter drew two rays which are AC and AP.

We are told that A is a common endpoint.

If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.

The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.

Thus, the correct statements that describe his drawing are: II & III

Simplest form of 6 3/8 + 7 5/6 =

Answers

Step-by-step explanation:

first, add the whole numbers

6 + 7 = 13

then the fractions

3/8 + 5/6

we need to get common denominators

do you know how to do that

Enter the mixed number as an improper fraction.
2 1/4

Answers

Answer:

9/4

Step-by-step explanation:

Luigi's Pizzeria is having a Pi Day lunch special where you can choose either one 18" pizza or two 12" pizzas. The cost of each option is the same, $14.00. Which option gets you more pizza? Note: Pizza is measured by the diameter so a 10" pizza is 10" in diameter.

Answers

The option which gets you more pizza is two 12" pizzas.

What is a Diameter?

It can be defined as the longest chord of the circle and it is twice the size of  a radius.

We were told that one 18" pizza or two 12" pizzas costs the same and the one with the largest size is two 12" pizzas which was why it was chosen as the most appropriate choice.

Read more about Diameter here https://brainly.com/question/23220731

6/100+5/10+6/x+3=3.62​ solve for the value of x

Answers

3/50 + 1/2 + 6/x + 3 = 3.62

How did the Fugitive Slave Act of 1850 affect enslavement?

It stopped enslavers from looking for people who had run away.

It give citizenship to any enslaved person who ran away to a free state.

It punished people who helped enslaved people escape.

It allowed enslaved persons the right to trial by jury.

Answers

The Fugitive Slave Act of 1850 affect enslavement is one that stopped enslavers from looking for people who had run away.

What was the impact of the Fugitive Slave Act of 1850?

This Act was said to have hinder enslavers from searching for people who had run away.

It was said to have given citizenship to any kind of enslaved person that has ran away to a free state. It also punished individuals that helped enslaved people escape. This law was passed on September 18, 1850.

Learn more about  Fugitive Slave Act from

https://brainly.com/question/542501

(3x+8) + (2x+4)= 32

Answer
4

Answers

Answer:

[tex]\huge\boxed{x=4}[/tex]

Step-by-step explanation:

[tex](3x+8)+(2x+4)=32\\\\3x+8+2x+4=32\qquad|\text{combine like terms}\\\\(3x+2x)+(8+4)=32\\\\5x+12=32\qquad|\text{subtract 12 from both sides}\\\\5x+12-12=32-12\\\\5x=20\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{20}{5}\\\\x=4[/tex]

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
A) x – 6
B) x – 3
C) x + 1
D) x + 6

Answers

Answer:

D. x + 6

Step-by-step explanation:

In the given graph, we have 3 x-intercepts values, which are points at which the line intercepts the x-axis. They are, -6, -3 and 0.

Each of these x-intercepts can be written as a factor of a polynomial function as follows:

x = -6

x = -6 + 6

x + 6 = 0

x = -3

x = -3 + 3

x + 3 = 0

x = 0

Therefore, the factor of the polynomial function must be: x + 6

find 3 consecutive integers if three times the first integer is two times the third.

Answers

Answer:

4, 5, and 6

Step-by-step explanation:

Three Consecutive integers are x, x+1, x+2

We are given 3 times the first integer is 2 times the third

So

3x = 2(x+2)

Solve for x

3x = 2x+4

x = 4 (first integer)

so the 3 integers are 4, 5, and 6

a rectangle has a length 12 meters and a width of 400 centimeters. what is the perimeter, in cm of the rectangle

Answers

Answer:

P= 3200 cm

Step-by-step explanation:

Perimeter = 2(l+w)

In this case since the perimeter has to be in centimeters, we have to change the length of the rectangle to centimeter.

12 meter to centimer = 12 x 100 = 1200 cm

2( 1200 +400)

2 (1600)

=  3200 cm

Help help help help math math

Answers

Answer:

-2x+y=-3

Step-by-step explanation:

mr clean

2x+y=-3

on algebra, to move something to the other side of the equal sign you must make the variable cancel out.

so, in this case, we will add 2x to cancel out the -2x. after that rules of algebra state whatever we do to one side of the equal sign, we must do to the other. so we get 2x on the left side, resulting in 2x+y=-3


Hi I really need help please help me

Answers

Answer:

B

Step-by-step explanation:

Y-intercept is where a graph crosses the y-axis at x=0

f(x) = 6x^2 + 18x + 3

f(0) = 6(0)^2 + 18(0) + 3 = 3

From the plot, g(x) at x=0 is 6.

So the answer is B. g has a greater y-intercept than f.

For f(x)

[tex]\\ \rm\rightarrowtail y=6x^2+18x+3[/tex]

Put x =0

[tex]\\ \rm\rightarrowtail y=6(0)^2+18(0)+3=3[/tex]

Y intercept at 3

From the graph

y intercept of g(x)=6

So option B is correct

The girls varsity basketball team had 850 fans attend their first game of the season. For the second game they had 1037 fans attendance. What was the percentage increase in attendance?

Answers

Answer:

22%

Step-by-step explanation:

It's 22% because if we want to find the percent change in something, the formula for that is new number - (minus) old number, than divide by old number, and lastly multiply by 100. So,

1. 1037 - 850 = 187

2. 187 / 850 = 0.22

3. 0.22 x 100 = 22 --> 22%

helpppppp ur girl out!!!

Answers

Answer:

139.25 m²

Step-by-step explanation:

Area  of the square = 10 * 10 = 100 m²

Radius of the semicircle = 5 m

Area of the semicircle = π(5)²/2 = 39.25 m²

Total area = 100 + 39.25 = 139.25 m²

1.If +20 represents 20 m above sea level, then –20 represents?


1.If +90 represents a movement of 90 m to the north then _90 represents?​

Answers

Answer:

-20 represents 20m below sea level.

-90 represents a movement of 90m to the South.

And equation for loudness in decibels is L equals 10logR where R is the relative intensity of a sound. Sounds that reach levels of 120 decibels , what is the density?

Answers

Answer:

10 log(R) = 120 log(R) = 12 R = 1012 ---- From the definition of a logarithm: 10log(x) = x

Explanation :

A = log10[1000(1 + 0.04)5]

an unknown or changeable quantity is called​

Answers

Answer: variable

The term varies or changes, and often there are restrictions set on the variable (eg: x is positive). Think of a variable as a placeholder for a number.

Please please please help!!!!

Answers

I will start off by defining the angle

[tex] \alpha = 90 - \beta [/tex]

as being the angle between altitude and the hypotenuse of the triangle.

[tex] \alpha = 90 - 30.1 = 59.9[/tex]

Using trigonometry, and the definition of the tan function defined by

[tex] \tan( \alpha ) = \frac{opp}{adj} = \frac{x}{1836.3} [/tex]

[tex] \tan( 59.9 ) = \frac{x}{1836.3} [/tex]

[tex]x = 1836.3 \times \tan(59.9) [/tex]

[tex]x = 3167.78[/tex]

Rounding to the nearest tenth

[tex]x = 3170[/tex]

Blood GroupO A B ABEthnic Group 1)0.082 0.101 0.005 0.0042)0.140 0.141 0.018 0.0093)0.215 0.195 0.070 0.020Explain in context what each of these probabilities represents. (Select all that apply.)If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C).If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(C | A).If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C | A).If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C | A).If a person has type A blood, the probability that he is from ethnic group 3 is given by P(A | C).If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A | C).

Answers

Answer:

P (A|C) = 0.39

P (C|A) = 0.446

Step-by-step explanation:

The data provided is as follows:

                                              Blood Group

                                  O           A            B           AB         Total

                         1)    0.082    0.101     0.005     0.004     0.192

Ethnic Group   2)    0.140     0.141      0.018     0.009     0.578

                        3)    0.215     0.195     0.070     0.020    0.500

      Total                0.437     0.437     0.093     0.033

The event C = {Ethnic group 3 is selected}

Compute the value of P (A|C) as follows:

[tex]P(A|C)=\frac{P(A\cap C)}{P(C)}=\frac{0.195}{0.5}=0.39[/tex]

If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C) = 0.39.

Compute the value of P (C|A) as follows:

[tex]P(C|A)=\frac{P(A\cap C)}{P(A)}=\frac{0.195}{0.437}=0.446[/tex]

If we know that the individual has type A blood group, the probability that he came from ethnic group 3 is given by P(C | A) = 0.446.

L need help with this pls

Answers

Answer:

answer is 150

Step-by-step explanation:

answer is 150

Find the product.



A.
3x2 − 11x − 20
B.
3x2 − 20x
C.
3x2 − x − 20
D.
3x2 − 3x − 60

Answers

Answer:

A. -1. (27)

B. 0.3

C. -14

D. -18

Step-by-step explanation:

I just use the calculator

B(c) is a function

True

or
False ​

Answers

Answer:  False :)

Step-by-step explanation:

What are the steps of solving 5r + 16r - 6

Answers

Answer:

Step-by-step explanation:

Combine like terms:

21r - 6

solve the inequality −23s ≥6 s=−9

Answers

Answer:

Given:

s = -9

We exchange this value into our inequality;

-23s  ≥ 6

-23(-9) ≥ 6

207 ≥ 6

micheal is knitting a blanket. she can knit 6 rows per minute. which rate is equivalent to the rate at which micheal is knitting?​

Answers

Answer:6 rows per minute

Step-by-step explanation:

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