Determine the value of k so that the relation {(2, 5), (k, 0), (–9, 2), (0, –9)} can be a function

Answers

Answer 1

Step-by-step explanation:

in a function every valid values of x has exactly one assigned y value.

in an ordered pair the first number is x, the second number is y.

the y in (k, 0) is therefore 0.

and this y is different to all other y values in the relation.

therefore, k must be different to all other defined x values (otherwise it would give an x value a second y value, which would make this a not-function).

so, k must be an integer not out of {-9, 0, 2}


Related Questions

Rewrite the expression as the sum of two numbers. 4(5 + 8) A) 2(13) B) 9 + 32 C) 9 + 12 Eliminate D) 20 + 32

Answers

Answer:

D.

Step-by-step explanation:

4(5 + 8)

= 4*5 + 4*8

= 20 + 32

please help pleaseeeeeeee

Answers

Answer:

9.5

Step-by-step explanation:

First order them:

5, 5, 8, 11, 12, 14

The go to the middle

2, 8, 11, 12

8, 11

8 + 11 = 19

19 / 2 = 9.5

Answer:

9.5 is your answer

Ashley is riding her bike to train for a triathlon and so far has traveled 96 miles.
She is riding at an average rate of 15 miles per hour.
Calculate the time that she has been riding her bike in hours.
Answer:
hours
Note: Write the answer in decimal form.

Answers

Answer:

6.4

Step-by-step explanation:

she has been riding her bike for 6.4 hours.

When do you struggle finding the min and max in a binary search tree

Answers

One can struggle to find the min and max in a binary search tree when the search algorithm is error prone.

What is a binary search?

It should be noted that a binary search simply means a searching algorithm for finding the elements position in an array.

In this case, one can struggle to find the min and max in a binary search tree when the search algorithm is error prone as this requires more stack space.

Learn more about binary search on:

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One can struggle to find the min and max in a binary search tree when the search algorithm is error-prone as this requires more stack space.

What is the binary search tree?

A binary Search Tree is a node-based binary tree data structure that has the following properties:

In Binary Search Tree, we can find the maximum by traversing the right pointers until we reach the rightmost node. But in Binary Tree, we must visit every node to figure out the maximum. So the idea is to traverse the given tree and for every node return a maximum of 3 values.

1) Node’s data.

2) Maximum in node’s left subtree.

3) Maximum in node’s right subtree.

Below is the implementation of the above approach.

The left subtree of a node contains only nodes with keys lesser than the node’s key.

The right subtree of a node contains only nodes with keys greater than the node’s key.

The left and right subtree each must also be a binary search tree.

Hence, one can struggle to find the min and max in a binary search tree when the search algorithm is error-prone as this requires more stack space.

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Solve the System of equations x = -2 ; y= -3 .(show your work step by step).

x+2y = 4
x +y = 1

Answers

Answer:

Determine the point of intersection by using substitution and solving for the variables.

Explanation:

Solving a system of equations imply we find the point of interception.

To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.

Here, we'll isolate

x

.

2

x

2

y

=

4

2

x

=

2

y

4

x

=

y

+

2

Now that we have our variable expression, we can sub this into the other equation and solve for

y

.

2

x

+

3

y

=

9

2

(

y

+

2

)

+

3

y

=

9

2

y

+

4

+

3

y

=

9

4

+

y

=

9

y

=

5

Now that we know our

y

value, we can sub it into any equation to solve for

x

.

x

=

y

+

2

x

=

(

5

)

+

2

x

=

5

+

2

x

=

~

3

Thus, our point of intersection is

(

~

3

,

5

)

.

If we graph the two equations, we can see the point of intersection is in fact

(

~

3

,

5

)

.

graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}

Hope this helps :)

A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack?​

Answers

Answer:

24

Step-by-step explanation:

12 divided by 1/2 = 24

Hope this helped! :)

A triangle has two side lengths: 18 in and 12 in. Which of the following could be the length of the third side?

Answers

Answer:

6<L<30

Step-by-step explanation:

because we know that the third side needs to be in between the sum of the other two it has to be less than 30 and then because it needs to apply to the other sides it is greater then 18-12 or 6.

203, 199, 195, ...
Find the 35th term.

Answers

Answer:

67

Step-by-step explanation:

203-199=4

199-195=4

☆decreases by 4

there are 34 spaces

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35

203-4 (34)

203-136

=67

35th term of the arithmetic sequence 203, 199, 195,...... is 67.

What is arithmetic sequence ?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

203, 199, 195,......

In the sequence, the first time a = 203,

And common difference of the sequence d = -4

Formula for nth term of the sequence,

aₙ = a + (n-1) . d

To find 35th term of the sequence, substitute n= 35,

a₃₅ = 203 + (35-1).(-4)

     = 203 + 34x-4

     = 203 - 136

     = 67

The 35th term of the given sequence is 67.

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How many fluid ounces are in​ 12 1/4 ​cups

Answers

there are 98 US fluid ounces in 12 1/4 cups

HELPP!! DUE TONIGHT!! I need answers for A, B, C, and D including the domains of each.

Answers

Answer:

[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]

Step-by-step explanation:

Given function:

[tex]\sf f[g(x)]=\dfrac{-6+23}{7x-16}[/tex]

The domain will be values of x that do NOT make the denominator zero:

[tex]\sf \implies 7x-16=0[/tex]

[tex]\sf \implies 7x=16[/tex]

[tex]\sf \implies x=\dfrac{16}{7}[/tex]

Therefore, the domain is [tex]\sf x\neq \dfrac{16}{7}[/tex] so

[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]

I got this question wrong and I need help.

Answers

Answer:

the answer is A. 2

Step-by-step explanation:

4x+2 has to be half of 2x+16

then 4x+2=10 and 2x+16=20 therefore it is correct

rate brainiest

In the circle below, F is the center and lies on line segment AD and BC.

Answers

Answer:

I guess option (C)

Step-by-step explanation:

Hope it helps!!!!

What is the range of the function y = e superscript 4 x y less-than 0 y greater-than 0 y less-than 4 y greater-than 4

Answers

The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

It is given that the function [tex]\rm y= e^4^x[/tex]

It is required to find the range of a function [tex]\rm y= e^4^x[/tex]

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm y= e^4^x[/tex]

If we plot a graph of [tex]\rm y= e^4^x[/tex]:

When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1

When x = 1 then  [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598  and so on.

The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.

Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

Learn more about the function here:

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Answer:

B, all real numbers less than 0

Step-by-step explanation:

edge 2022

8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but
isn't sure how since she is only familiar with
graphing from slope-intercept form. Devise a plan
to help Charlotte graph the equation in the space
below, and then draw your graphed line.

Answers

Answer/Step-by-step explanation:

Note:

Graphing From An Equation:

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

Solutions and Equation:

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 }       3(0) - 4y = 12

                       -4y = 12                                 (0, -3 )

                       -4y/-4 = 12/-4

                                y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0}                  3x-4(0) =12

                                3x = 12              (4,0)

                                 3x/3 = 12/3

                                        x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy~

if f(1)= 10 and f(n)=f(n-1)+4 then find the value of f(5)

Answers

Answer:

f(5)=26

Step-by-step explanation:

hello :

f(n)=f(n-1)+4   means :  f(n)-f(n-1)=4  (comon diference for arithm - sequence)

so : f(n) =f(1)+(n-1)×4

f(n) =10+(n-1)×4

f(n) = 4n+6

f(5) = 4(5)+6 =26

SOMEONE PLEASE HELP I WILL GIVE 5 STARS AND BRAINLIEST! fill in the table using this function rule. y= 4x - 4

x- 1,3,5,10
y- blank

Answers

Answer:

(x=1, y=0), (x=3, y=8), (x=5, y=16), (x=10, y=36)

Step-by-step explanation:

You just plug the x into the equation. And then BAM the answer is right.

1. Sixty-four unit cubes were glued together to make a 4 × 4 × 4 cube. How many 1 × 1 pairs
of faces were glued together to make the larger cube?
2. A cube is painted red and then cut into 64 identical smaller cubes. How many of these cubes
are painted red on at least one face?
3. A cube is painted red and then cut into 1000 identical smaller cubes. How many of these
cubes are painted red on at least two faces?

Answers

Answer:

The answer is 56 and that is no guess

will give brainliest!
fill in the table using this function rule. y= 3 + 2x
x- 4, 5, 9, 10
y- blank

Answers

Replace x in the equation with the given x values and solve for y:


3 + 2(4) = 11

3 + 2(5) = 13

3 + 2(9) = 21

3 + 2(10) = 23


the y values are: 11, 13, 21, 23

y=3+2x

#4

y=3+2(4)=3+8=11

#5

y=3+2(5)=3+10=13

#9

y=3+2(9)=3+18=21

#10

y=3+2(10)=3+20=23

simplify the following expression 4√72

Answers

Answer:

Hope this helps it is in the file below.

Find the common ratio of the geometric sequence -4,12,-36

Answers

Answer:

-3

Step-by-step explanation:

a= -4

So the first and second should be multiply together

first=-4

second=12

12/-4=-3

Draw the graph of y = 3x - 1 on the grid use the graph to estimate y when x = 2.5

Answers

Answer:

6.5

Step-by-step explanation:

all you have to do is substitute x with 2.5 in the equation and you can find y.

Which of the following shows the true solution to the logarithmic equation solved below? log Subscript 2 Baseline (x) = log Subscript 2 Baseline (x 7) = 3. Log Subscript 2 Baseline left-bracket x (x 7) right-bracket = 3. X (x 7) = 2 cubed. X squared 7 x minus 8 = 0. (x 8) (x 1) = 0. X = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8.

Answers

The value which shows the true solution to the given logarithmic equation is 1.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The given logarithmic equation is,

[tex]\rm log_{2} (x) + log_{2} (x +7) = 3.[/tex]

Use the addition property of log in the above expression.

[tex]\rm log_{2} (x \times (x +7) )= 3.\\ (x \times (x +7) ) = 2^{3} \\x \times (x +7) = 8\\x^{2} +7x-8=0[/tex]

Solve the quadratic equation we get,

[tex](x+8)(x-1)=0[/tex]

x = -8, 1

Here, the logarithmic function is defined only for positive real numbers as its input.

Thus, the value which shows the true solution to the logarithmic equation solved above is 1.

Learn more about the domain and range of the function:

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Answer:X=1

Step-by-step explanation:b on edge

pls answer yessirrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

150

Step-by-step explanation:

this first side is 6 by 5, (6 x 5 = 30) and 4 sides have these measurements so (30 x 4 this = 120) to find the surface area of all these sides.

The second type of side is 3 by 5, (3 x 5 = 15) and 2 sides have these measurements so we have to do (15 x 2 = 30) to find the surface area of all these sides.

Now that we have all the surface area of all the sides we have to add them up (30 + 120) the surface area of the rectangular prism is 150.

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

How much money would you have after 7 years if you invested$12,000 at 2% in order to have compounded annually?

Answers

Answer:

$1,680

Step-by-step explanation:

i think it is right because 12,000 at 2 percent=280 then 280×7= 1,680

Which person is not living within their means?
A. Joyelle set aside money for emergency funds by limiting her thing
entertainment costs for a few months.
B. Bill earns a high salary, so he contributes the maximum allowed to
his IRA each year.
C. Ella maxed out all three of her credit cards but pays the minimum
balance each month.
O D. Dmitri earns $1000 a month and spends $800 on rent, groceries,
and other expenses.

Answers

The person that is not living within their means is Ella who has maxed out all three of her credit cards but pays the minimum balance each month.

What does it mean when a person is living above their means?

If a person is living above their means, the person is spending more money than they have. A person living above their means would most likely borrow in order to afford their lifestyle. A person living above their means would have no amount of savings.

To learn more about credit cards, please check: https://brainly.com/question/14716152

The rent for an apartment is $800 per month. The landlord charges one month's rent as a deposit plus a nonrefundable damage cost of $250.
The expression 800(n + 1) + 250 represents the cost of the renting the apartment for n months. Write the expression in simplified form.
please help me i have a test tmr

Answers

Answer:

800n+1050

Step-by-step explanation:

800(n+1)+250 = 800n+800+250 = 800n+1050.

Hope this helps!

Good luck with your test + I hope you do well on it.

Please mark me as brainliest!

How many ways can 10 students line up in a food counter?

Answers

Answer:

for the first student in the line there are 10 choices,then for the 9 choices left,for the third 8 choices left and so on...

so its 10x9x8x7x6x5x4x3x2x1=3628800

Step-by-step explanation:

sana makatulong

This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?

yes or no

Answers

Answer: yes its a 3:1 ratio

3 cups of strawberries

per 1 cup of mango

Step-by-step explanation:

so the best way i can try to explain it is this...

1 2 they both need a

_ x _ common denominator so

3 6 you need to multiply the smaller one to equal

the bottom number of the other one

oorr divide the big number on the bottom to equal

the smaller number on the bottom of the left

equation.

soooo 2 times (1:3) equals (2:6)

or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)

4+6x=16 how to solve it

Answers

Answer:

Step-by-step explanation:

Remark

The first step is the key step. You have to get the xs on one side and the numbers on the other.

Solution

4 + 6x = 16                  Subtract 4 from both sides

4-4+6x = 16 - 4           Combine

6x = 12                        Divide both sides by 6. You want x by itself.

6x/6 = 12/6

Answer: x = 2

the answer is 2. you need to try and get x by itself subtract the 4 sticking onto it. What you do to one side you have to do to the other so now you have 6x=12 now that’s just saying 6 times X is 12 so divide 6 by 12 and your answer is 2

a random sample of 45 art students revealed that 20 prefer prefer painting over sculpture if there are 2k students in an art program how many would be expected to prefer painting over scultuprue

Answers

Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:

20 - 45

n - 2000

Applying cross multiplication:

45n = 20 x 2000

n = (20 x 2000)/45

n = 889.

889 students would be expected to prefer painting over scultuprue.

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