Complete the sentence about the relation. There is x and y columns. The x column contains two, eight, thirty, and forty six values. The y column contains minus one, nine, and sixteen values. The first arrow starting from value two of column x and ended at the value minus one in column y. The second arrow started from value eight of column x and ended at sixteen in column y. The third arrow starting from value thirty of column x and ended at value nine in column y. The forth arrow starting from point forty six and ended at value sixteen in column y. The domain of the relation is Choose... and the range is Choose... .

Answers

Answer 1

Answer:

Domain is [tex]\{2,8,30,46\}[/tex]

Range is [tex]\{-1,9,16\}[/tex]

Step-by-step explanation:

The relation refers to the collection of ordered pairs, which contains an element from one set to another set.

Domain of a relation [tex]y=f(x)[/tex] is all the values [tex]x[/tex] that go into a function, and the range is a set of all the values [tex]f(x)[/tex] that are obtained for the given domain.

The given relation is [tex]\{(2,-1),(8,16),(30,9),(46,16)\}[/tex]

Here, domain is [tex]\{2,8,30,46\}[/tex]

Range is [tex]\{-1,9,16\}[/tex]


Related Questions

A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank

Answers

Complete Question

The  diagram for this question is shown on the first uploaded image

Answer:

The position of the emitter is  [tex]E =  +  72.9 \  cm\ from\ the\ center [/tex]

The position of the stone is   [tex]S =  - 72.9 \  cm\ from\ the\ center [/tex]

Step-by-step explanation:

From the question we are told that

   The  length is  l =  178 cm

    The  width is  w  =  102 cm  

Generally the position of the stone along the horizontal axis is mathematically evaluated as

         [tex]h  =  \frac{178}{2}[/tex]

=>      [tex]h  = 89 \  cm   [/tex]

Generally the position of the emitter along the vertical axis is mathematically evaluated as

         [tex]k =  \frac{102}{2}[/tex]

=>      [tex]k  = 51 \  cm   [/tex]      

Generally the  resultant position of both stone and the emitter is

       [tex]R  =  \pm \sqrt{h^ 2  - k^2}[/tex]

=>     [tex]R  = \pm  \sqrt{89^ 2  - 51^2}[/tex]

=>     [tex]R  = \pm 72.9 \  cm   [/tex]

Hence the position of the emitter is  [tex]E =  +  72.9 \  cm[/tex]

            the position of the stone is   [tex]S =  - 72.9 \  cm[/tex]

Write 45 as a product of primes.
Use index notation where appropriate.​

Answers

9*5=45
3*3*5=45
Therefore:
3^2 *5 = 45

4c = d for c
Solve for indicated variable.

Answers

Answer:

c=1/4d

Step-by-step explanation:

Answer:

c = d/4

Step-by-step explanation:

solve this literal equation using inverse operations:

4c = d

/4    /4

c = d/4

Select each polynomial expression that could be factored by grouping.​

Answers

Answer:

The 2nd and 3rd option

Step-by-step explanation:

They can be separated into 2 pairs and factored

54/x = 9/7

What does X=

Answers

Answer:

the answer is 42.

Step-by-step explanation:

9 times 6 is 54.

7 times 6 is 42.

Answer:

It'd be 486/7 or 69 and 3/7

Step-by-step explanation:

A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?

Answers

Answer:

u = t/18 - 5

Step-by-step explanation:

45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games

plug in two:

90 + 18u = t

solve in terms of u:

18u = t - 90

u = t/18 - 5

can i get a thanks and brainliest please?

Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC​

Answers

9514 1404 393

Answer:

perimeter = 6+2√73 ≈ 23.09 unitsarea = 24 units²

Step-by-step explanation:

It can help to draw a figure.

The altitude of this isosceles triangle is 8 units, and it splits the base into equal lengths of 3 units. Using the Pythagorean theorem, we find the length of a side to be ...

  BC = AC = √(3² +8²) = √73

The perimeter is the sum of the lengths of those two sides and the base:

  P = 2(√73) +6 ≈ 23.088 . . . units

The area is given by the formula ...

  A = 1/2bh

  A = (1/2)(6 units)(8 untis) = 24 units²

__

The perimeter is 6+2√73 ≈ 23.09 units.

The area is 24 units².

Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.

Answers

Answer:

If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Step-by-step explanation:

The information provided is as follows:

Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.

The variable x is the number of pairs of pants.

The total cost function for Kelsey will be:

[tex]TC_{K}=17.95\cdot x+24[/tex]

The total cost function for Jeana will be:

[tex]TC_{J}=18.95\cdot x+18[/tex]

Consider that both pay the same total cost for their purchases.

Compute the value of x as follows:

            [tex]TC_{K}=TC_{J}[/tex]

[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]

Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

What’s the value of X ?

Answers

Answer:

x=25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

(2x+2)+(5x+3)=180

The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?

Answers

Answer:

B. 2/3

Step-by-step explanation:

The equation for area of a triangle is A=1/2bh

so we can plug in what were given

2/5 =1/2(6/5)b now we solve for b

2/5=6/10 b

2/5 divided by 6/10 =b

2/5 x 10/6 =b

4/6=b

2/3=b

kala needs to make a total of 80 deliveries this week. So far she has completed 28 of them. What percentage of her total deliveries has kala completed?

Answers

Answer:

35 %

Step-by-step explanation:

50 % of 80 is 40 so 28% of 80 is 35%

if you just divide  80 by 28 you will get 35.

A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it reaches ground level in 6 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.

Answers

Answer:

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

Step-by-step explanation:

From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:

[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]h[/tex] - Height of the ball, measured in feet.

[tex]a[/tex] - Second order coefficient, measured in feet per square second.

[tex]b[/tex] - First order coefficient, measured in feet per second.

[tex]c[/tex] - Zero order coefficient, measured in feet.

From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:

[tex]A(t, h)= (0\,s,192\,ft)[/tex]

[tex]c = 192\,ft[/tex] (Eq. 2)

[tex]B(t,h) = (1\,s,240\,ft)[/tex]

[tex]a+b+c = 240\,ft[/tex] (Eq. 3)

[tex]C(t,h) =(6\,s,0\,ft)[/tex]

[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)

By Algebraic methods, we get this unique solution:

[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]

The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].

what is the average rate of change for the line graphed in the figure above

Answers

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1

There were 5 boys for every 7 girls at Rayville High School last year. If there were 420 students at the school, how many were girls?​

Answers

Answer:

240

Step-by-step explanation:

please help asap, the question is
Do you see a pattern? If so, explain your reasoning. and What predictions can you make about future rectangles in the set if your pattern continues?

Answers

Answer: the pattern is that the rectangles width and length get timed 2.

Step-by-step explanation: that pattern will continue until the rectangle will get bigger than the unobservant universe...

Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go

Answers

Answer:

I believe it is Him.

Step-by-step explanation:

Answer:

B) Him

Step-by-step explanation:

Him refers to someone else, and that is exactly what a pronoun does!

Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:

Answers

Answer:

First one, Third one, Fifth one, and the last one too.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, make a ratio:

18 min/ 3mile = 6 min/mile

now multiply to finish the table:

1: 6

3: 18

5: 30

10: 60

25: 150

PLEASE HELP I AM BEING TIMED.

A frame designer is making a triangular frame. she has two sides of length 20 inches and 28 inches. What are the possible lengths for the third side?

Answers

the answer is in the question. it says 2 sides lengths of 20 in. and 1 side of 28 in.
um uh. it might be- well shii- probably- maybe- um well..

can u guys help with my one question i have left

Answers

Answer:

Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .

Step-by-step explanation:

hope this helps :)

Answer:

I think 6

Step-by-step explanation:

365/12=30.42

30.42/5= 6.08

A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.

Answers

Answer:

Step-by-step explanation:

Club A charges $30 membership fee and charges $7 for each movie.

You can write this as :

A = 30 + 7m  (where m = number of movies)

Club B charges no membership fee and it costs $12 for each movie.

B = 12m

If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.

30 + 7m = 12m

Now you can just subtract 7m from both sides.

30 = 5m

Divide both sides by 5 to find "m'.

m = 30/5 = 6

Therefore a member must purchase 6 movies

b) Simplify 2-(3-a) = -4

Answers

Answer:

-1+a

Step-by-step explanation:

2-(3-a) = (2-3-(-a)) = -1+a  

Answer:

a=-3

Step-by-step explanation:

First off subtract 2 from both sides:

-(3-a)=-6

Then distribute the negative:

-3+a=-6

Finally add 3 to both sides:

a=-3

tadah!!

Hope that helps.

If 72 is 9 times larger than 8, which statement below is true?
A) 8 is 72 times larger than 9
B) 72 is 8 times larger than 9
C) 9 is 8 times larger than 72
D) 8 is 9 times larger than 72

Answers

B - because 72 is 9 times larger than 8. Therefore, 72 is also 8 times larger than 9. You can flip multiplication around just like addition.

3x + 2y + z = 7 2x + 3y - z = 8 5x + y + 2z = 11

Answers

Answer:

x = 3,    y = 0,      z = −2

Step-by-step explanation:

help show work
42,44,46,48,50
assig 9

Answers

Answer:  see below

Step-by-step explanation:

42)   11 < 3y + 2 < 20

      -2         -2    -2  

       9  <  3y      < 18

     ÷3   ÷3         ÷3  

      3 <    y      <  6

Graph:   o----------o

             3            6

44)   36 ≥ 1 - 5z >  -21

       -1     -1           -1    

       35 ≥     -5z >  -22

    ÷ -5 ↓  ÷ -5 ↓ ÷ -5

        7  ≤        z <  4.4

Graph:   o------------ ·

            4.4            7

 

46) 6b + 3 < 15    or    4b - 2 > 18

            -3   -3                 +2    +2

      6b       < 12           4b      > 20

    ÷6           ÷6         ÷4         ÷4  

         b      <  2    or     b     >   5

Graph:   ←--------o   o---------→

                        2    5

48)   8d < -64    and    5d > 25

      ÷8     ÷8                ÷5     ÷5

        d < -8      and       d > 5    

 there is no number that is both less than - 8 and greater than 5

                 No Solution

Graph:   (empty)

                       

50)  15x > 30    and    18x < -36

    ÷15     ÷15           ÷18     ÷18  

         x >   2      and       x < -2  

 there is no number that is both less than - 2 and greater than 2

                 No Solution

Graph:   (empty)

A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?

Answers

Answer:

8 tablespoons of shortening

Step-by-step explanation:

mathhhh

A label printer prints 7 labels in 3.4 seconds. How long will it take to print 56 pages of labels?

Answers

Answer:

27.20seconds

Step-by-step explanation:

hope this helped,brainliest?

Select True or False for each statement.

A.16.302 rounded to the nearest whole number is 16 feet per second.
Select True or False for each statement.

16.302 rounded to the nearest whole number is 16 feet per second.
16.302 rounded to the nearest tenth is 16.3.
16.302 rounded to the nearest hundredth is 16.31.
16.302 rounded to the nearest tenth is 16.3.
C.16.302 rounded to the nearest hundredth is 16.31.

Answers

Answer:

True

True

False

The temperature at 6:00 am in New York was -7 °C. At 2:00 pm the
temperature in New York was 7 °C. What was the change in the temperature
temperature?

Answers

Answer

10 degrees c

Step-by-step explanation:

14 degrees Celsius because to get from -7 to 7 you need to add 7 to get to 0, then another 7 to get to 7.

1/9 of 54 bottles of water = ? bottles

Answers

Answer:

6

Step-by-step explanation:

If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.

6

Step-by-step explanation:

First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6

What is the volume of the cylinder below

Answers

Answer:

I think d or b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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Similarly, Austria can gain from trade as long as it receives more than __________of wine for each bushel of rye it exports to France. Based on your answer to the last question, which of the following prices of trade (that is, price of wine in terms of rye) would allow both Austria and France to gain from trade?a. 7 bushels of rye per bottle of wine b. 4 bushels of rye per bottle of wine c. 1 bushel of rye per bottle of wine d. 11 bushels of rye per bottle of wine Statz Company had sales of $1,900,000 and related cost of goods sold of $1,100,000 for its first year of operations ending December 31, 20Y1. Statz provides customers a refund for any returned or damaged merchandise. At the end of 20Y1, Statz Company estimates that customers will request refunds for 1.7% of sales and estimates that merchandise costing $12,000 will be returned. Assume that on February 3, 20Y2, Buck Co. returned merchandise with an invoice amount of $5,300 for a cash refund. The returned merchandise originally cost Statz Company $3,200.Required:a. Journalize the adjusting entries on December 31 to record the expected customer returns. b. Journalize the entries to record the returned merchandise and cash refund to Buck Co. on February 3. What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?