3. Look at the set of ordered pairs below. Determine if the three statements that follow are true or false.
If it is true, explain why you know that it is true.
If it is false, explain why you know that it is false and change the statement to a true statement.
{(3,6), (4,6), (5,7), (6,8), (7,10), (8,10)
Statement 1:
The relation is not a function because every y-value has more than one corresponding X-value
Statement 2:
The domain of this relation is 3=< x =< 8.
Statement 3:
The range of this relation is {6, 7, 8, 10}

Answers

Answer 1

Answer:

Statement 1 - false

A function is one-to-one or many-to-one.

One-to-one means each value in the range (y-values) corresponds to exactly one value in the domain (x-values)

Many-to-one means some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).

Therefore, as some y-values correspond to more than one x-value, this is a many-to-one function.

The true statement should be:

The relation is a function because some y-values correspond to more than one x-value.

Statement 2- true

The domain is the set of input values (x-values).  Therefore, the domain is 3 ≤ x ≤ 8 as the smallest x-value is 3 and the highest x-value is 8.

Statement 3 - true

The range is the set of output values (y-values).  Therefore, the range is {6, 7, 8, 10} as these are the y-values of the ordered pairs.


Related Questions

Easy answer!! Simplify

Answers

Answer:

\frac{5}{6}\quad \left(\mathrm{Decimal :0.83333

Step-by-step explanation:

[tex]\bold{Heya!}[/tex]

[tex]\sf{\sqrt\frac{23}{36}[/tex]

[tex]\sf{Apply \: radical \: rule:} \: \sqrt{\frac{a}{b}[/tex] [tex]\sf{= \sqrt{\frac{\sqrt{a}}{b}[/tex]   [tex]\sf{a \geq 0, b \leq 0[/tex]  

[tex]\sf{\sqrt{\frac{23}{\sqrt{36}}[/tex]

[tex]\sf{\sqrt{36} = 6}[/tex]

[tex]\sf{= {\frac{\sqrt{23}}{6}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

13 - (19,500 - (672 x 29)] = ​

Answers

Answer:

1

Step-by-step explanation:

im know it ive dine the problem 10 times

Rotate the following figure 90 degrees clockwise about the origin (0,0)

Answers

Step-by-step explanation:

The rule for a 90-degree clockwise rotation about the origin (0,0) is:

(x,y) -----> (y,-x)

Simply apply this and you'll get your answer.

Hope this helps :)


. Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?

Answers

Answer:

not answered this question

After a dilation with center (0,0) the image of DB is D’B’ if DB=6 and D’B’=2 the scale factor of dilation is what ?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corrresponding sides. image to original.

scale factor = [tex]\frac{D'B'}{DB}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 7c – 4c2 – 3c 4 –4c2 4c 6 –7c2 10c 6 –4c2 4c 8 –7c2 7c 6

Answers

The simplified and standard form of the considered polynomial is -4c^2 -4c + 6

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.


The given polynomial is:

[tex]2 + 7c - 4c^2 - 3c + 4[/tex]

Simplifying it gives:

[tex]2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2[/tex]

Writing it in the order of increasing to decreasing powers:

[tex]6 -4c -4c^2 = -4c^2 -4c + 6[/tex]

Thus, the simplified and standard form of the considered polynomial is [tex]-4c^2 -4c + 6[/tex]

Learn more about standard form of a polynomial here:

https://brainly.com/question/15313798

If the dimensions of a rectangular prism are 3 cm , 4 cm, and 10 cm, then it’s surface area is

Answers

Answer:

As Per Provided Information

Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .

We have been asked to determine it's surface area.

[tex] \underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}[/tex]

where,

w denote width

h denote height

l denote length

[tex] \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2} [/tex]

Therefore,

Surface area of rectangular prism is 164 cm².

Answer:

Surface area of rectangular prism is 164cm²

Step-by-step explanation:

Given :-

Dimensions of rectangular prism is 3cm , 4cm, and 10cm

To find:-

Surface area of rectangular prism

Solution:-

Surface area of rectangular prism :-

2(lb + bh + hl)

putting the known values ,

Surface Area = 2(3×4+4×10+10×3) cm²

Surface area = 2(12+40+30) cm³

Surface area = 164cm²

Complete the statement using <, >, or =.

36% of 150 ____ 27% of 200

Answers

Answer: =

Step-by-step explanation: 54 =54


3/100 ×150=54


2/100 ×200=54

pleaseee help meeeeeeee​

Answers

90° = x + 2x + (x+10)
80° = 4x
20° = x

Solve for X. Please help me!

Answers

Answer:

145°

Step-by-step explanation:

based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.

Nicole's Pie Shop recently sold 26 pies, of which 13 were chocolate cream pies. Considering this data, how many of the next 54 pies sold should you expect to be chocolate cream pies

Answers

Answer:

27

Step-by-step explanation:

Based on the given conditions, formulate: 54×13÷26 

Cross out the common factor:54/2

Cross out the common factor:27

Get the result:27

Answer: 27

Which of the following is a geometric series? 40 50 60 70 40 42 44 46 40 80 40 120 40 20 10 5

Answers

The given series  40 + 20 + 10 + 5 is a geometric series.

What is the geometric series?

The geometric series the ratio of consecutive terms is equal and the ratio is called the common ratio of the geometric series.

Let us find the ratio of consecutive terms of each of the given series.

For the series 40 + 50 + 60 + 70

50/40 = 5/4

60/50 = 6/5

Since, 5/4 ≠ 6/5 hence, it is not a geometric series.

For the series 40 + 42 + 44 + 46

42/40 = 21/10

44/42 = 22/21

Since, 21/10 ≠ 22/21 hence, it is not a geometric series.

For the series 40 + 80 + 40 + 120

80/40 = 2

40/80 = 1/2

Since, 2 ≠ 1/2 hence, it is not a geometric series.

For the series 40 + 20 + 10 + 5

20/40 = 1/2

10/20 = 1/2

Since, 1/2 = 1/2 hence, it is a geometric series.

Therefore, D is the correct option.

To learn more about the geometric series visit:

https://brainly.com/question/24643676

Simplify the expression.

Answers

Answer:

1/81

Step-by-step explanation:

9 to the power of 7 is 4782969

and 9 to the power of 9 it 387420489

and when u divide it u get 1/81 I beleve

Answer:

1/81 or 0.01 that is rounded to the nearest hundredth

Step-by-step explanation:

Your welcome

Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maximum
speed of 21.92 miles per hour (mph).
Which of the following equations, where d is distance in miles and t is time in hours, represents a speed
that is less than that of the leatherback sea turtle?
Choose all answers that apply:


PLEASE HELP!!

Answers

Answer:

A and B

Step-by-step explanation:

See explanation below

How to multiply 70.94 by 3.2 and get 227.008

Answers

Answer:

solution

Step-by-step explanation:

so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.

(Easy) b. When will function h exceed both function f and function​ g?

Answers

Answer:

Is their like any opions? or no

Step-by-step explanation:

Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 2,7, 13, 15, 19, 21.
The mean is
The median is

Answers

Answer:

the mean is 12.83333333333 ans so many more 3's

the median is 14 because the two middle numbers are 13+15=28 and divided by 2 is 14

Step-by-step explanation:

if it is right, please can i have the brainliest

4. What is the height of a triangular sail whose base is 4 meters and area is 20 square meters? ​

Answers

Answer:

pa branliest

Step-by-step explanation:

The height of a triangle is 4 inches more than twice the length of the base

Which of the following is equal to the expression listed below?

14 + 21

A.7 + (2 × 3)
B. (7 × 2)(7 × 3)
C. 7(2 + 3)
D. (7 + 2)(7 + 3)

Answers

Answer: C

Step-by-step explanation: The answer is C because unbending suing distributive property, the equation becomes (7 x 2) + (7 x 3). Solving for these parentheses, the equation becomes 14 + 21. I hope this helps!

Try your best be a super star

Answers

Answer: Thanks! Same to you, hope you have a good life.

Step-by-step explanation:

You too, I guess! Thanks for the points.

Michelle is interested in knowing how often girls in her class at school use their cell phones to instant message their friends.
Which of the following methods could Michelle use to conduct a simple random sample to answer her question?

A. Give the survey to the first fifty girls on a list of all the students in her class.
B. Post her survey on the Internet and ask only girls to respond.
C. Write the name of each girl in her class on a card and then draw 10 cards from a hat.
D. Identify which homeroom each girl in her class is in and then choosing a sample from each homeroom based on the number of girls in the homeroom.

Answers

The answer is D- identify which homeroom each girl in her class is in and then choosing a sample from each homeroom based on the number of girls in the homeroom

Answer:

it is NOT d

Step-by-step explanation:

I did it and got it wrong

NOT D

5 0

·
5 –3

= how do i do this

Answers

50x-15? i don’t understand

In a class of 90 students, the ratio of boys and girls is 4:5 Find the number of boys and girls​

Answers

Step-by-step explanation:

Number of students in class = 90

ratio of boys and girls = 4:5

sum of ratios = 9

Number of boys = 4/9 × 90

= 360/9

= 40

Number of girls = 5/9 × 90

= 450/9

= 50

Hope it helpz~

what is the difference between the greatest and least amounts of rain falls? Iready

Answers

Answer:

[tex]1\frac{7}{8}inches[/tex]

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

[tex]2-\frac{1}{8} =\frac{16-1}{8} =\frac{15}{8} =1\frac{7}{8}[/tex]

Therefore, the difference between the greatest and least amount of rainfall is [tex]1\frac{7}{8}inches[/tex]

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

the point ( 8 , 5 ) lies on a line with a slope of 1/4 write the equation of the line

Answers

Answer:

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

Step-by-step explanation:

[tex]y-5=\frac{1}{4} (x-8)[/tex]

[tex]y=\frac{1}{4} x-2+5[/tex]

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

Hope this helps

Answer:

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

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

here m = [tex]\frac{1}{4}[/tex] , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute (8, 5 ) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of line

WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

40π m² and 125.6 m²

Step-by-step explanation:

the area (A)  of the sidewalk is calculated as

A = outer area - inner area

(a)

A   = πr₁² - πr₂² ( r₁ is radius of outer circle and r₂ the radius of inner circle )

A  = π × 11² - π × 9²

  = 121π - 81π

 = 40π m²

(b)

A = 40 × 3.14 = 125.6 m²

Answer 1 and 2 and I'll mark you brainliest

Answers

1.
Is 300 because 4x75 you get how many bottles of water.

2.
4.47 if you subtract.

Find the value of
46
83

Answers

An outside angle equals the sum of the two opposite inside angles.


x = 83 + 46 = 129

Use the slope formula to calculate the slope of a line that passes through points (2, 5) and (3, 8)

Answers

Answer:

m=3

Step-by-step explanation:

work out 9 over 13 of 182 (9 over 13 is supposed to be a fraction)

Answers

Answer:

126

Step-by-step explanation:

In math, "of" usually means multiplication.

9/13 of 182 means 9/13 × 182.

9/13 × 182 = 9/13 × 182/1 = (9 × 182)/(13 × 1) = 1638/13 = 126

Answer: 126

Answer:

126

Step-by-step explanation:

To find 9/13 of 182, we would divide 182 by 13 and multiply the quotient by 9.

182 ÷ 13 = 14

14 • 9 = 126

To double-check our answer, we can divide 126 by 182 and see if the fraction is congruent to 9/13.

126 ÷ 182 = 0.6923

9 ÷ 13 = 0.6923

I hope this helps.

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