1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kay [80]
3 years ago
7

Which two tables represent the same function?

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

  (x2 , y2) is \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ \frac{y-8}{x-4}=\frac{7-8}{6-4}

∴ \frac{y-8}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

∴ x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ \frac{y-5}{x-4}=\frac{4-5}{6-4}

∴ \frac{y-5}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ \frac{y-8}{x-2}=\frac{5-8}{8-2}

∴ \frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ \frac{y-10}{x-2}=\frac{14-10}{6-2}

∴ \frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

∴ x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ \frac{y-9}{x-2}=\frac{6-9}{8-2}

∴ \frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

You might be interested in
What is the correct answer of 4 3/4 + 2 5/6
quester [9]
4 3/4+2 5/6

=19/4+25/6

=19/4+17/6

=91/12

=7 7/12

7 0
2 years ago
What is the answer to this equation 20x-6=4
Butoxors [25]

Answer:

A.

x=1/2 or 0.50

8 0
2 years ago
Solve the inequality
Sati [7]

You will divide by 2 on each sides then x will be your answer

So x is greater than or equal to 4

5 0
3 years ago
Read 2 more answers
A survey of 1,390 parents of 13- to 17- year-olds found that 653 of 1,390 parents have checked their teen's social media profile
atroni [7]

Answer:

Total number of population = 2043

Step-by-step explanation:

According to the question

Total number of parents = 1390

number of parents checked their teens social media = 653

⇒ Total number of population = 653 +1390

Total number of population = 2043

7 0
2 years ago
Use place value to find the product
bulgar [2K]
I cant answer a problem that i cannot see

6 0
2 years ago
Other questions:
  • When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a st
    6·1 answer
  • Find each sum or difference? Do u just work the problem out and put the answer down?
    7·1 answer
  • What is 2 wholes minus 1/4
    5·2 answers
  • Dan, Lincoln , and Miguel are pooling their cash to see whether they have enough to buy a game . They have a total of $49.20. Th
    13·1 answer
  • How do i divide?:-)I nevered learned
    12·2 answers
  • Find the area of the shape shown below.<br> 12<br> 4
    13·2 answers
  • What is the opposite or addictive inverse of 43
    7·1 answer
  • Which graph best represents the equation 2X + 2Y=4
    13·1 answer
  • Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year.
    7·1 answer
  • The price ( p) of a school lunch is 8:50 The restaurant increases the price by 12% which statement is true for this situation
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!