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
PtichkaEL [24]
3 years ago
13

Identify the explicit function for the sequence in the table. x:1, 2, 3, 4, 5, y: 8, 14, 20, 26, 32,

Geography
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

The explicit function is y = 6x + 2

Explanation:

Since the change in x, Δx is constant and Δx = 1 and also, the change in y, Δy is constant and Δy = 6, we use the equation of a straight line in gradient form.

So, (y - y₁)/(x - x₁) = Δy/Δx where x₁ = 1 and y₁ = 8

So, substituting the values of the variables into the equation, we have

(y - y₁)/(x - x₁) = Δy/Δx

(y - 8)/(x - 1) = 6/1

(y - 8)/(x - 1) = 6

cross-multiplying, we have

(y - 8) = 6(x - 1)

expanding the brackets, we have

y - 8 = 6x - 6

adding 8 to both sides of the equation, we have

y - 8 + 8 = 6x - 6 + 8

y + 0 = 6x + 2

y = 6x + 2

So, the explicit function is y = 6x + 2

You might be interested in
Besides Vatican city, how many countries are members of the European union
DochEvi [55]
Right now, it has 28 member states: Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Italy, Ireland, Latvia, Lithuania, Luxembourg, Malta, The Netherlands, Poland, Portugal, Romania, Spain, Slovakia, Slovenia, Sweden, and The United Kingdom.
5 0
4 years ago
Viscous lava is most commonly produced by a
Ulleksa [173]
.......Statovolcano.
7 0
3 years ago
Read 2 more answers
What type of map uses relief shading to simulate the appearance of sunlight and shadows?
Stella [2.4K]
Shaded Relief map is the type of map that uses relief shading to simulate the appearance of sunlight and shadows. Dark shadows on the map depict steep mountains while the absence of shadow depict a flat land. 

Another type of Relief map is Raised Relief Map which is a three dimensional plastic or vinyl map that portrays the physical features of the region.


4 0
3 years ago
Read 2 more answers
Which two speakers discuss how their society modified their environment?
otez555 [7]
The correct answer for the question that is being presented above is this one: "(2) B <span>and C."</span>

Here are the following choices:
(1) A and B(3) C and D(2) B and C(4) D and A

Here are the following speeches:
<span>Speaker A: It was a combination of the Protestant</span>wind and the island nature of our nationthat protected us. Surely, Philip must beupset at his defeat.

<span><span>Speaker B: </span>Our archipelago and divine winds have</span>protected us once again. The Mongolsmay have taken China, but they cannotconquer us.

<span><span>Speaker C: </span>To support our growing population, we</span>must find a suitable way to farm. Withfloating gardens on our lake, we shouldbe able to grow enough to meet ourdemand.

<span><span>Speaker D: </span>We have connected highland and lowland</span>areas by building networks of roads andbridges. We have also built terraces intoour mountainsides to grow crops
5 0
4 years ago
What is the tallest building on Earth? Who designed this building? Where is this building located?
babymother [125]

Answer/Explanation:

The Burj Khalifa, also known as the Burj Dubai, is the tallest building on Earth.  

The people who designed this building are:

  • Adrian Smith  
  • George J. Efstathiou
  • Marshall Strabala

By looking at it's name, the Burj Dubai/Burj Khalifa is located in Dubai, United Arab Emirates.

Hope it helps.

5 0
4 years ago
Other questions:
  • Which statement best supports the theory of continental drift?
    15·1 answer
  • In India, nearly 70 percent of the population live in villages, where most of them - in what type of economic activity?
    12·2 answers
  • What destruction from the East destroyed the Islamic Empire in the 13th century?
    6·1 answer
  • Metamorphic and igneous rock both may experience heat and extreme pressure. What is the difference in their formation?
    11·1 answer
  • Respond to the following question in a paragraph or less.
    10·1 answer
  • Ice
    5·1 answer
  • What population changes occurred after the 2010 earthquake in Haiti?
    10·1 answer
  • HELP NEEDED, ASAP
    12·1 answer
  • 1. Open the attribute table for the OLS Model (OLSModell xls) and with the data from the
    7·1 answer
  • Definition of Ethnicity
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!