15. The set of ordered pairs represents a function.
{(1,3), (2, 9), (k, 12), (5,9), (8,0)}
Which of these could be the value of k?
A. 0
B. 1
C. 5
D. 8

Answers

Answer 1

Answer:

A. 0

Step-by-step explanation:

In a function, all x-coordinates must be different.

The given function already shows 1, 2, 5, and 8 as x-coordinates, so you must choose a number other than those.

Answer: 0

Answer 2

The correct option will be Option A : the value of k will be 0.

What is a function?

The function is a relation between two sets where one set is called the domain and another set is the codomain which is one one or many one relations.

If the x or input values are different then the relation will become a function.

So we can say if the x values are repeated and their corresponding y or output values are the same, then also the relation becomes a function.

If the x values are repeated and their corresponding y or output values are different, then the relation will not become a function.

Given the ordered pairs are {(1,3), (2, 9), (k, 12), (5,9), (8,0)

As we know the x value is repeated and the y value is different then the relation will not be a function.

So here in the given ordered pair, there is no any second 12. So k value should not be equal to 1,2,5,8 otherwise it will not be a function.

By checking all the options

0 is not present in x value of the given ordered pair.

Therefore the correct option will be Option A : the value of k will be 0.

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Related Questions

PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?

Answers

Answer:

160 pounds at 2.70

240 pounds at 3.20

Step-by-step explanation:

Let x be the pounds and 2.70 per pound

400-x is the pounds and 3.20 per pound

there will be 400 pounds and 3.00 per pound

2.70 x + (400-x) *3.20 = 400 *3

Distribute

2.70x +1280-3.20x = 1200

Combine like terms

-.5x +1280 = 1200

Subtract 1280 from each side

-.5x = -80

Divide each side by -.5

x = -80/-/5

x =160

160 pounds at 2.70

400-160 = 240 pounds at 3.20

Which point is on the graph of the equation y = 2 x - 5?
1. (3, -1)
2. (2, -5)
3. (4, 2)
4. (2, -1)

Answers

Answer:

4

Step-by-step explanation:

the correct answer is number 4

if X = 2 ==> 2x -5 = 2(2) -5 = 4 - 5 = -1

The correct answer would be number 4.

Solve.

-6x - 4y = -32
-2x + 7y = 6

A. (5, 3)

B. (5, 2)

C. (4, 3)

D. (4, 2)

Answers

Answer:

D

Step-by-step explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)

what is the area of this triangle

Answers

Answer:

Probably b or e

Step-by-step explanation:

this took me a while to answer this.

Business women Maya spends 1/4 hours a day on her cell phone. Her husband Larry spends 3/16 hours a day on his cellphone. What is the total time spent on the phone between the couple per day?

Answers

Answer:

7/16

Step-by-step explanation:

Mayas time: 1/4

Larrys time: 3/16

Total time: 1/4 + 3/16                  LCM = 16   16/4 = 4  16/16 =1

                : 1*4/4*4 + 3*1/16*1

                : 4/16 + 3/16

                : 7/16

Use the distributive property to write the expression without parentheses. Then simplify.
[tex]-\frac{1}{6} (6y+7)[/tex]

Answers

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

i really need an answer fast

Answers

x=-7

We can write them both like functions like this

A= 5x -4

B= 3x +8

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

A= 3b

we replace with the functions

5x-4 = 3(3x+8)

solve for x and you get -7

HELP! WILL GIVE BRAINLIEST!

Answers

Answer: The answer is A

Step-by-step explanation: There are different ways to solve this type of problem. One way I would do it is to use a piece of wax paper to trace the shape then rotate the paper to get the answer.

Which function has a vertex at the origin?

A f(x) = (x + 4)2
B fx) = x(x - 4)
C f(x) = (x - 4)(x + 4)
D f(x)= x²

Answers

answer D

Step-by-step explanation:

Hello,

we can check the graph of the functions as attached or compute the vertex analytically

from the graph you can see that D is the correct answer

I think that it is answer D

what is the y-intercept of f(x)= -x^2÷1 +4​

Answers

Answer:

(0, 4)

Step-by-step explanation:

Just set x = 0 and find y = f(x):

f(0) = [-(0)^2]÷1 +4  =  0÷1 + 4 = 4

The y-intercept is (0, 4)

image In the figure, is the segment bisector of AB such that AP = 15x – 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 7∕3 D) 10

Answers

Answer:

[tex]x =6[/tex]

Step-by-step explanation:

Given

Bisected Sector AB;

AP = 15x - 11

PB = 9x + 25

Required

Find x

When a sector is bisected, it means the sector is divided equally into two;

Hence [tex]AP = PB[/tex]

This gives

[tex]15x - 11 = 9x + 25[/tex]

Add 11 to both sides

[tex]15x - 11 + 11 = 9x + 25 + 11[/tex]

[tex]15x = 9x + 25 + 11[/tex]

[tex]15x = 9x + 36[/tex]

Subtract 9x from both sides

[tex]15x - 9x = 9x + 36 - 9x[/tex]

[tex]15x - 9x = 9x - 9x + 36[/tex]

[tex]6x = 36[/tex]

Divide through by 6

[tex]\frac{6x}{6} = \frac{36}{6}[/tex]

[tex]x = \frac{36}{6}[/tex]

[tex]x =6[/tex]

Hence, the value of x is 6

Answer:

x=6

Step-by-step explanation:

15x-11=9x+25

15x-9x=25+11

6x=36

x=6

Please help with my Algebra What is the solution to the system of equations? {6x−2y=−144x−3y=−31

Answers

Answer:

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

6x-2y=-144x-3y=-31

Write as a system of equations.

6x-2y=-31

-144x-3y=-31

Multiply both sides of the equation by 24.

144x-48y=-744

-144x-3y=-31

Sum the equations vertically to eliminate at least one variable.

-51y=-775

Divide both sides of the equation by -51.

y=775/51

Substitute the given value of y into the equation 6x-2y=-31.

6x-2x775/51=-31

Solve the equation for x.

x=-31/306

The possible solution of the system is the ordered pair (x , y).

(x , y)=(-31/306 , 775/51)

According to the water surface area rule, a fish tank can be
stocked with one inch of fish for each twelve square inches of
surface area. The fish that you are interested in putting in your
fish tank are each 2 inches. Your fish tank has a surface area of
576 square inches. According to the water surface area rule,
what is the maximum number of fish you can put in your tank?

Answers

Answer:

24 fishes

Step-by-step explanation:

If for 1 inch of fish corresponds 12 square inches of  surface area, then for 2 inches correspond 24 square inches. Given that each fish is 2 inches, then for 1 fish 24 square inches of  surface area is needed. To know how many fish you can put in your tank, we need to solve the following proportion:

1 fish / x fish = 24 square inches / 576 square inches

x = 576/24

x = 24 fishes

Can someone help me with this ASAP I am so close to the end of this assignment!!!

Answers

Answer:

A

Step-by-step explanation:

[tex]\sqrt{(-5 - (-1))^{2} + (7 - 2)^{2} } = \sqrt{41}[/tex]

So the right answer is √41

please see the attached picture for full solution

Hope this helps

Please answer the question stated below

Answers

Answer:

$252

Step-by-step explanation:

The price of the computer is $400

On saturday it is on sale for 30% off

30% of 400 or .3 x 400 = 120

400 - 120 = 280

Then, if she gets there before 9am there is an addition 10% off of the sale price (280)

So, 10% of 280 or .1 x 280 = 28

280 - 28 = 252

Hope this helps!

explain the triangle angle sum property

Answers

Answer: explanation below

Explanation: The triangle sum property states that a triangle’s angles always add up to 180 degrees. Whether or not the triangle is acute, obtuse, or right, all of its three angles always add up to 180 degrees.

Answer:

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

Step-by-step explanation:

Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

b

2

=

(

a

+

b

)

(

a

b

)

where  

a

=

k

2

and  

b

=

1

.

9

(

36

k

6

+

k

5

k

2

)

The GCF is -3k^4
-30k^6+9k^5-21k^4= -3k^4(10k^2-3k+7)

using SOH CAH TOA, solve for x.

Answers

Answer:

x=10.93 or 10.9

Step-by-step explanation:

To find x we use sin

sin(40) = 0.6427876097  then * 17

= 10.9273

= 11

We can check and plug in answer as inverse to find other side

11/sin (40degree) x (90 degree) = 17.11

If we plug in the original 10.9273 we actually find 17

So we should show the correct amount 10.9273 and if rounding try 10.93

10.93/sin (40 degree) x sin (90 degree) = 17.00

∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*

Answers

[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]

Answer:

m∠ A=78°

m∠ B=12°

Step-by-step explanation:

∠A+∠B=90°

15x+3+5x-13=90

20x-10=90

20x=100

x=5

∠A=(15×5+3)°=(75+3)°=78°

∠B=(5×5-13)°=(25-13)°=12°

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
y=-6
y = 4

Answers

Answer:

x = - 5

Step-by-step explanation:

The line with equation x = - 2 is a vertical line parallel to the y- axis.

A parallel line will also have the equation

x = c

where c is the value opf the x- coordinates the line passes through.

The line passes through (- 5, 4) with x- coordinate - 5, thus

x = - 5 ← equation of parallel line

pls help this is due before 11:59​

Answers

Answer:

B

Step-by-step explanation:

232/4= 58

343/7= 49

58-49= 9

x and y are integers.
y>2
x<2
y< x + 3
Find the only pair of possible
values for x and y.​

Answers

Answer:

Y=3

X=1

3<1+3

Hope that helps

The only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The expression is

x and y are integers, y>2, x<2

y< x + 3

[tex]x < 2[/tex] , x can take any value less than two.

⇒ [tex]x=1[/tex] and

[tex]y > 2[/tex] , y can take any value greater than two

⇒ [tex]y=3[/tex]

Thus the expression becomes,

⇒ [tex]y < x + 3[/tex]

⇒ [tex]3 < 1 + 3[/tex]

⇒ [tex]3 < 4[/tex]

Hence we can conclude that the only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

Learn more about inequalities here

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Which expression does not represent "the sum of n and 6"? n + 6 6 n 6 + n

Answers

Answer:

6n

Step-by-step explanation:

Answer:

6n

Step-by-step explanation

1) the sum of n and 6

2) the product of 6 and n

3) the sum of 6 and n

addends can be reversed due to the communicative property of addition

since the second one represents a product of 6 and n,

it is the one that does not, though, if it were the product of 6 and n divided by 6, then plus 6, it would represent

A fruit vendor purchased 540 fruits in all for $150. He sold 15 dozens at 2 bananas a dollar, another 15 dozens at 3 bananas a
dollar and the remaining at 5 bananas a dollar. Find his loss or gain percentage. ( with explanation )

Answers

Answer:

First find how much bananas are in a dozen

15 x 12 = 180

Divide the amount by the amount of bananas per dollar to find profit

180 / 2 = $90

Do the same thing as before

15 x 12 = 180

180 / 3 = $60

Find how many bananas are left

180 + 180 = 360

540 - 360 = 180

Do the same as before

180 / 5 = $36

Add up all the money. 90 + 60 + 36 = 186

Subtract the cost

185 - 150 = 36

To find percentage increase

36 / 150 = 0.24 or 24% profit

Hope this helps

Step-by-step explanation:

Hevesh wants to make 2 lines of dominoes that are both 21 inches long. Each line has dominoes spaced 1 and 1/2 inches apart. How many dominoes will she need for both lines?

Answers

Answer: 30 dominoes in total.

Step-by-step explanation:

Each line is 21 inches long.

the space between dominoes is 1 + 1/2 inches.

(assuming that the distance includes the domino itself) Now, we need at least two dominoes to see this distance,

The we have N + 1 dominoes per line, and the distance is:

N*(1 + 1/2)inches = 21 inches

If we find N, we can find the number of domineoes in each line:

N = 21/(1 + 1/2) = 14

This means that we have 14  + 1 = 15 dominoes in each line, and we have two lines, so we have 30 dominoes in total.

In which of the following equations is the distributive property correctly applied to
the equation x(y + 2) = 5?
O a) zy+22=5
16) y +2=
c) xy + 2x=52
d) 2rys=5

Answers

Answer:

None, unless c was a typo

Step-by-step explanation:

Distributing gets us xy+2x=5

None of the options is that

If you meant option c as xy+2x = 5 though, then it would be correct

Find the prime factorization: 49 i am stuck

Answers

Answer:

49 can be broken down into 7 * 7 so the prime factorization is simply 7².

Answer:

Bruhhainliest

Step-by-step explanation:

7 and 7

1 and 49

7 x 7 is the prime factorization

a line passes through the points (4, -1) and (2, 3), what is the slope of the line?

A, 2
B, 1/2
C. -1/2
D. -2

Answers

The right answer is -2.

please see the attached picture for full solution..

Hope this helps..

Good luck on your assignment

Answer: The social structure of the workplace changed as a result of the Industrial Revolution as well, because laws were passed that allow people to receive days off from work, capped hours and reasonable condition

Step-by-step explanation:

Help please! Will give brainly! How are these patterns similar? How are they different? How are the number of dots in each pattern changing? How would you find the number of dots in the 5th step in each pattern?

Answers

these patterns are similar because in both the number of dots are increasing. they are different because the pattern in the first one is adding 2 each step, while in the second one you are taking the starting amount, multiplying it by 2 then adding 1. to find the number of dots for step 5 you would add 2 in the first pattern, in the second pattern multiply by 2 add 1.

How are the following three expressions different from each other, if needed they are? Do not just state the value of each but explain what may be same or different.

That what my teacher said I’m confused plz help
Thank u so much to the people who helped me answer it.

Answers

Answer:

2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

Step-by-step explanation:

We are given the three expressions different from each other

We are supposed to find  what may be same or different.

1) [tex](-2)^2[/tex]

[tex]\Rightarrow (-1)^2 \times (2)^2\\\Rightarrow -1 \times -1 \times 2 \times 2 \\\Rightarrow 4[/tex]

2)[tex]-2^2[/tex]

[tex]\Rightarrow -1 \times 2^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]

3)[tex]-(2)^2[/tex]

[tex]\Rightarrow -1 \times (2)^2\\\Rightarrow -1 \times 2 \times 2 \\\Rightarrow -4[/tex]

Now 2 and 3 are same since in both the cases we need to square 2 only not the negative 1 in it

1 is not same to 2 and 3 since in 1 we need to square 2 and negative 1 in it also.

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