Identify the domain and range of each relation. Is the relation a function?
x y
5 3
8 6
10 11

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]

Taking the first 2 points, it would make the equation as follows:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.


Related Questions

$10.25 per hour x 25 hours round to the nearest cent

Answers

Answer:

256.25

Step-by-step explanation:

$10.25 not taxed x 25

given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(

Answers

Answer:

..

Step-by-step explanation:

Gomenosai

simplify by expressing with radicals n√x^3^n​

Answers

We can work with the exponents to simplify our expression, and we will get:

[tex]\sqrt[n]{x^{3n}} = x^3[/tex]

How to simplify the expression?

Remember that a root of degree n is equivalent to an exponent of 1/n.

This means that we can rewrite a root of degree n as:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then our expression:

[tex]\sqrt[n]{x^{3n}}[/tex]

Can be rewritten as follows.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]

Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.

Now we can take the product of the exponents to get.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]

You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.

That is the expression simplified.

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Fiill in the table using this function rule. Y=-3x+3

Answers

Answer:

3(x+1)

Step-by-step explanation:

Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?​

Answers

Answer:

x=6y3

Step-by-step explanation:

we first find the constant of proportionality where by we say; x= ky3

we're given x = 54

and y = 3

so

54=k(3cubed)

therefore

54= 9k

divide be 9 both sides to get k which is the constant

k=6

now rewrite the equation replacing k with 6

it will be...

X=6Y3

A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches. What is the scale of inches in the drawing to inches in the actual room?

Enter the correct answer in the box.

Answers

Answer:

The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL

Step-by-step explanation:

12 inches = 1 foot

Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram

So for length:

10:(15*12)

10:180

1:18

And for width:

8:12(12)

8:144

1:18

Answer:

18 inches

Step-by-step explanation:

The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.

1 foot= 12in x 1ft= 12 inches

15 feet= 12in x 15ft = 180 inches

12 feet= 12in x 12ft = 144 inches

The room is 180 inches long and 144 inches wide.

To find the scale, set up a proportion to the drawing to the room.

[tex]\frac{10}{8} =\frac{180}{144}[/tex]

You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.

1/5 divided by 2/3 input the answer as a fraction

Answers

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

3/10 is the answer to your question

Kendrick bought a laundry hamper online. It cost $9 plus 10% shipping and handling. What was the total cost?

Answers

Answer:  $9.90

Work Shown:

10% of $9 = 0.10*9 = 0.90

The shipping cost is $0.90, or 90 cents.

This means the total cost goes from $9 to $9.90

$9.90
9*0.10=0.90
9+0.90=$9.90

The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date

y = 5x + 120

what does the number 5 in the equation mean in this context?

A: There were 5 customers per night when the restaurant opened

B: The average number of costumers per night increased by 5 each month

C: The average number of customers per night decreased by 5 each month

D: The restaurant has been open for 5 months

Answers

The average amount of customers every month

5 is also the slope

Eve is going to buy 70 pens from either shop A or shop B.

Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .

What is the difference in cost for all 70 pens between the two shops ?

Answers

Answer:  0.70

Step-by-step explanation: Shop A: 2.20*7=15.40

Shop B: 7 packs with full price and seven with half

So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven

Take sum 9.80+4.90=14.70

So the difference between the two shops is

15.40-14.70=0.70 hope i helped have a good afternoon

answer this question fast

Answers

Answer:

corona virus sjuwiwiwoe

Step-by-step explanation:

iaisowowow

I need answers ASAP

Answers

Answer:

Simplifying

6r + r + -5r = 0

Combine like terms: 6r + r = 7r

7r + -5r = 0

Combine like terms: 7r + -5r = 2r

2r = 0

Solving

2r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Divide each side by '2'.

r = 0

Simplifying

r = 0

7r-5r < this is the answer

6r+r=7r

A bullet train can travel at 170 miles per hour. Will a graph representing distance in miles compared to time in hours show a proportional relationship? Explain

Answers

Answer:

yes

Step-by-step explanation:

the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.

Solve each inequality. Graph and check the solution.
e
1.
<3
2
0 1 2 3 4 5 6 7 8 9 10 11

Answers

Answer:

xxxx

Step-by-step explanation:

PLEASE HELP ME!
Find the x- and y-intercepts of the graph of -x+2y=6. State each answer as an integer or an improper fraction in simplest form.

Answers

Given the linear equation, -x + 2y = 6, we can set y = 0 to find the x-intercept.

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0), where a = x-intercept.


-x + 2y = 6
-x + 2(0) = 6
- x + 0 = 6
-x = 6

Divide both sides by -1 to isolate x:
-x/-1 = 6/-1

x = -6

Therefore, the x-intercept is (-6, 0), where its x-coordinate, a = -6.

Next, in order to solve for the y-intercept, set x = 0.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b), where b = y-intercept.

-x + 2y = 6
-(0) + 2y = 6
0 + 2y = 6
2y = 6

Divide both sides by 2 to isolate y:

2y/2 = 6/2

y = 3

Therefore, the y-intercept is (0, 3), where its y-coordinate, b = 3.

PLEASE NEED THIS ASAP

Answers

Answer:

The answer is in the above attachment.

According to this diagram, what is sin 23°?
67°
13
5
Сл
23°
90°
12
O A.
13
5
12
O B.
B. 13
12
13
O c.
c.13
O D.
D.
5
13
O E.
13
12
5
OF.

Answers

Using relations in a right triangle, it is found that the sine of 23 degrees is given by:

D. 5/13.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:

sin(23º) = 5/13.

Which means that option D is correct.

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Suppose we have a linear equation relating y and x defined by
3y + 9x = 18,
where x is an independent variable and y is a dependent variable. Which of the following is a correct function notation
representation of y?
Select the correct answer below:

Answers

Answer:

  (a)  f(x) = -3x +6

Step-by-step explanation:

Solve for y, then write as a function.

  3y +9x = 18 . . . . . . given

  y +3x = 6 . . . . . . . . divide by 3

  y = -3x +6 . . . . . . . subtract 3x

  f(x) = -3x +6 . . . . . written using function notation

On a family trip to Oman, Tarek drove 300 km in 5 hours. This is an example of a unit rate or a rate? Please tell the correct answer.

Answers

Answer:

300 km in 5 hours is the rate

unit rate is how much in one unit

in this case the unit is one hour

60km / hour

Please Help! it's simple!

Answers

Answer:

28.27

circumference of finding a circle divided by two.

[tex](2\pi \:r {}^{2} ) \div 2[/tex]

(2×3.14×9)/2

56.55/2

28.27

Ernie deposits $9,800 into a pension fund. The fund pays a simple interest rate of 7%. What will the balance be after four years?

Answers

Answer:

$12,845.80

Step-by-step explanation:

take the first number and go +7%. repeat four times

hope this helps :-)

a function is given, 2^x + 3. find f(-2)

Answers

Answer:

2_3_4_4/547767()9897568. thank

. To do the ham số y = 3x - 3

Answers

Step-by-step explanation:

subject arts and architecture what primary

of the three lines in the graph one has slope m = 1 one has slope m = 2, and one has slope m = 1/5.
Put the lines in order from greatest to least slope.​

Answers

Answer:

1/5    1   2  

Step-by-step explanation:

A. Determine the value of each function
1. For p(x)=-2x + 5, determine:
a. p(5)
b. p(0)
c. p(-1/2)

Answers

Answer:

a= -5

b=5

c=6

substitue each value as x

In what time will $1000 amount to $1331 at 10% per annum, compounded annually?​

Answers

The time is 3 years


Step by step explanation:
Answer:

3 Years

Step-by-step explanation:

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

All 5-digit zip codes in the United States are assigned by region. In Texas, all zip codes begin
with the number 7 while the second digit is restricted to numbers from 5 to 9. There is no
restriction on the remaining digits. How many zip code combinations are possible in Texas?

4,000
5, 000
6, 000
7,000

Answers

Answer:

5,000

Step-by-step explanation:

[tex]\frac{1}{7}*\frac{5}{5-9} \frac{10}{0-9} *\frac{10}{0-9} * \frac{10}{0-9}[/tex]

help help help help!

Answers

Answer:

Is a give number 4 5 is a reflexive property

5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?

Answers

Answer:

112

Step-by-step explanation:

Aaron = y

Victoria = x

y = 14 +x

126 = 14 + x

x = 112

Victoria sold 112 boxes of cookies

5.prove for kite abcd above that BD bisects both ABC and ADC

6.Given from what we now know from 5, prove that M must be the midpoint of AC​

Answers

The kite is a quadrilateral that has two pairs of equal adjacent sides and

one of equal opposite angles.

5. The two column proof is presented as follows;

Statement [tex]{}[/tex]                            Reason

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex]     [tex]{}[/tex]                          By reflexive property

ΔABD ≅ ΔBDC    [tex]{}[/tex]                   By Side-Side-Side, SSS congruency postulate

∠ABC = ∠ABD + ∠CBD      [tex]{}[/tex]    Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

[tex]\overline{BD}[/tex] is a bisector of  ∠ABC    [tex]{}[/tex] Definition of angle bisector

∠ADC = ∠ABD + ∠CBD      [tex]{}[/tex]     Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

Therefore;

[tex]\overline{BD}[/tex] is a bisector of ∠ADC     [tex]{}[/tex] Definition of angle bisector

CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent

6. The two column proof is presented as follows;

Statement [tex]{}[/tex]                          Reason

∠ABD ≅ ∠CBD  [tex]{}[/tex]           CPCTC (question 5)

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                  Given

[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex]      [tex]{}[/tex]              Reflexive property

ΔABM ≅ ΔCBM      [tex]{}[/tex]      According to Side-Angle-Side, SAS congruency rule

[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex]      [tex]{}[/tex]               CPCTC

[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex]    [tex]{}[/tex]                  Definition of congruency

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex]    [tex]{}[/tex]        Segment addition postulate

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] =  2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality

[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex]    [tex]{}[/tex]        Division property of equality

M divides [tex]\overline{AC}[/tex] to two   [tex]{}[/tex]  Definition

M is midpoint of [tex]\overline{AC}[/tex]   [tex]{}[/tex]   Definition of midpoint

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