Which of the sets of ordered pairs represents a function? (1 point)

P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}

Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}

Answers

Answer 1

Answer:

Conclusion:

Both sets represent the function.

Step-by-step explanation:

We know that a function relates an input to an output.

For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function

h (age) = age × 10

Thus, if the age of the plant is 2 years, the height is:

h(10) = 2 × 10 = 20 cm

Set P

P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are 6, 3, -9, and -5.

Thus, there are no duplicated inputs or x-values.

Therefore, the set P  of ordered pairs represents a function.

Set Q

Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are -7, 4, -3, and 1.

Thus, there are no duplicated inputs or x-values.

Therefore, the set Q  of ordered pairs also represents a function.

Conclusion:

Both sets represent the function.


Related Questions

3 + 5p − 12 = 2p + 12

Answers

Answer:

p=7

Step-by-step explanation:

Let's solve your equation step-by-step.

3+5p−12=2p+12

Step 1: Simplify both sides of the equation.

3+5p−12=2p+12

3+5p+−12=2p+12

(5p)+(3+−12)=2p+12(Combine Like Terms)

5p+−9=2p+12

5p−9=2p+12

Step 2: Subtract 2p from both sides.

5p−9−2p=2p+12−2p

3p−9=12

Step 3: Add 9 to both sides.

3p−9+9=12+9

3p=21

Step 4: Divide both sides by 3.

3p

3

=

21

3

p=7

Hope this helps have an amazing day!!

ahhahanvm? shushaha bruh what do i do

Answers

Uh I’m not even gonna question it but thanks for the free points ig? Lol

\u gotta ask ur question

Step-by-step explanation:

find the least number that must be added to 1400 so as to get a perfect squre. full explanation​

Answers

Answer:

so what is the next perfect square after 1400?  That's what they are asking.. so I used my calculator to find it..

Step-by-step explanation:

the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is  1444 so now we know.. to add 44 to 1400 .... that's your answer  44

Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes

Answers

Answer:

34

Step-by-step explanation:

Subtract and divide

The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

With company x, it cost 35 cents to connect and then 5 cents for each minute.

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Now,

Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.

Hence, The cost for n minutes with company x is,

⇒ 35 + 5n

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Hence, The cost for n minutes with company y is,

⇒ 15 + 4n

Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)

                     = 35 + 5n - 15 - 4n

                     = (20 + n) cents

Learn more about the mathematical expression visit:

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plz help asap i need help fast asap i will mark you brainlist

Answers

Answer:

What do you need help with?

simplify and express in a + bi form: (12 + 3i) - (3 - 1)

Answers

Answer:

10+3i

Step-by-step explanation:

Subtract 3 and 1 which is 2, Now the equation looks like this:

(12+3i)-(2)

Multiply the negative with 2:

12+3i-2

Subtract 12 and 2:

10+3i

Answer: 10+3i

Hope this helps!

PLEASEE HELPP ASAPP!!

Solve: -35/-7

A: 7
B: -7
C: 42
D: -42

Answers

Answer:

D.

Step-by-step explanation:

You see, this is simple division. Let's divide it.

-35/-7 = -42

_____________________

Don't let the other options confuse you. negative dividing is just the same as regular, just negative ^^

Solve for X

17
47
34
13

Answers

Answer:

So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°

Step-by-step explanation:

Sorry if that’s confusing

Answer:

x = 17

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

94° is an exterior angle of the triangle, thus

2x + 60 = 94 ( subtract 60 from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

how do I turn this into a radical?

Answers

6sqrt(2) i’m pretty sure

Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)

please help! id give you master brainlist.

Answers

Answer:

w + j + s = total amount of beverages

Step-by-step explanation:

The first person is correct.

W+J+S= the amount of beverages he bought.

Water plus Juice and Soda. You have to add them all up to get the total he bought for everyone.

Hope this helps you.
:)

Solve the equation

9x^2 - 64= 0

9x^2 + 64= 0

Answers

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

5 divide by 8 plus 9

Answers

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

Create an expression that would represent the area of a triangle.

Answers

Answer:

a = 1/2 (15 *5)

Step-by-step explanation:

a = 1/2 (b * h)

     1/2 (15 *5)

Answer:

1/2 (15x5)

Step-by-step explanation:

Area = 1/2bh

Enter the solution to the equation in the box.
2(x−3)=8(x−6)

Answers

Answer:

x=7

Step-by-step explanation:

2(x−3)=8(x−6)

2x-6=8x-48

2x-8x=-48+6

-6x=-42

x=7

plzzz help me with this ​

Answers

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

random............... ​

Answers

The greatest common factor is 7 because both numbers are divisible by 7 and it’s the highest number they are divisible by
the answer is 7.

14 is only divisible by 1,2,7 and itself.
49 is only divisible by 1,7 and itself

Someone help me with this pleaseeeeee

Answers

Answer:8 an 40 an 2

Step-by-step explanation:

A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150

Answers

Answer:

A

Step-by-step explanation:

y = -3x + 150

I hope this is right.

Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is =

Answers

Answer/Step-by-step explanation:

The equation that relates the proportional quantities would take the following form ---› [tex] y = kx [/tex], where,

y = amount of Grape juice (dependent variable)

x = amount of Apple juice (independent variable)

k = constant of proportionality (y/x)

✔️Using any of the given pair, say, (5, 8),

Constant of proportionality = [tex] k = \frac{y}{x} = \frac{8}{5} = 1.6 [/tex]

Substitute k = 1.6 in [tex] y = kx [/tex].

An equation that represents the proportional relationship would be:

[tex] y = 1.6x [/tex]

Or

[tex] y = \frac{8}{5}x [/tex]

How the equation would change if:

y = amount of Apple juice (dependent variable)

x = amount of Grape juice (independent variable)

The constant of proportionality would change, that is using a pair, say, (8, 5),

[tex] k = \frac{y}{x} = \frac{5}{8} = 0.625 [/tex]

Substitute k = 0.625 in [tex] y = kx [/tex].

The equation would now be:

[tex] y = 0.625x [/tex].

Or

[tex] y = \frac{5}{8}x [/tex]

Simplify (3x – 5) + (5x + 1).

Answers

Answer:

(-2x - 6)

Step-by-step explanation:

The given expression is ( 3x - 5 ) - ( 5x + 1 )

We have to simplify the given expression

First we will open the bracket having negative notation outside.

( 3x - 5 ) - 5x - 1

3x - 5 - 5x - 1

Now we will collect the similar terms together.

3x - 5x - 5 -1

-2x - 6

So the simplified form of the expression is (-2x - 6)

Answer:

8x - 4

Step-by-step explanation:

queifnsldnalbdejsjsbsjas

PLZ HELP!!!

Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40

Answers

A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)

Need help ASAP!!
Find the unknown side of the triangle below.

A.) 24.5 in
B.) 13 in
C.) 20 in
D.) 25 in

Answers

Answer: B.

Explanation: That side is shorter than the other known sizes so it can’t be above 20

Answeruse pitaghora theorema

a2+b2=c2

21^2+x^2=29^2

441+x^2=841

x^2=400x=√400=20

any questions?why 3 stars tho

Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2​

Answers

Step-by-step explanation:

2x +1= 0.5x - 2

X = - 2

y = 0.5x (- 2) - 2

y = - 3

( x, y ) = ( -2 , -3 )

hope it helps!

Ricardo borrows $1850 for 8 months at 12% interest.
What is the amount he will pay back at the end of the
loan period?
How do you know?

Answers

Answer:

Ricardo will have to pay $1776 at the end of the loan period.

I know this because if you multiply 12% to 1850 you get 222.

Now you multiply 222 to 8 which gives you an answer of 1776.

Hope this helps. :)

Gina will pay $14 for the
fabric at a craft store. The tax rate is 8.5%. How much will she pay for her fabric including tax?

Answers

Answer:

$15.19

Hope this helped!

Step-by-step explanation:

Write an equation

8.5% of 14 =

Convert percent into decimal:

8.5% = 0.085

"Of" means to multiply so multiply 0.085 to 14

0.085 x 14 = $1.19

14 + 1.19 = 15.19

Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?

a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake

Answers

Answer:

1/9 Is the answer

Step-by-step explanation:

Answer: C is the anwer ヾ(≧▽≦*)o

I need some help with MORE math if you could answer that would be great.

Answers

Answer:

bbbbbb

Step-by-step explanation:

:)

Answer:

D. [tex]\frac{81}{m^{7}}[/tex]

Step-by-step explanation:

[tex](3m^{-4})^{3}(3m^{5})[/tex]

[tex]\frac{81m^{5}}{m^{12}}[/tex]

[tex]\frac{81}{m^{7}}[/tex]

Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =

Answers

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.

To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.

Given the step function:

g(x) =

-4, x < -1

-1, -1 ≤ x < 2

3, 2 ≤ x < 4

5, x ≥ 4

Let's evaluate the step function for each input:

g(-2):

Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.

g(2):

Since 2 is less than or equal to 4, the condition for the second interval is satisfied.  Therefore, g(2) = 3.

g(5):

Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.

Hence, we have:

g(-2) = -4

g(2) = 3

g(5) = 5

Learn more about the functions here:

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HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point) ​

Answers

The one ur selecting is the correct one!

If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21

Answers

The answer is A] 2x -4 = -14

2(-5) -4 = -14
-10 -4 = -14
-14 = -14
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