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
Analyses of deep-sea drilling rock and sediment cores have led to important findings on all of the following except for ________
Brums [2.3K]

Answer:

 a 1.7 million year history of dinosaurs off the Mississippi River delta 

Explanation:

7 0
2 years ago
After an attack on the world Trade Center I'm 2001 which country was accused of sheltering terrorists
marishachu [46]
Two weeks after the attack, NATO invaded Afghanistan in order to remove the Taliban regime.
5 0
3 years ago
QUESTION 5 The elevation at which a parcel of air cools to its dew point temperature is called the a lifting condensation level
AleksandrR [38]

Answer:

A. condensation level

Explanation:

  • What usually happens when a parcel of air cools more slowly the air in motion, leads to the formation of clouds as moisture accumulation takes place. Thus the vertical ascent of air reduces its capacity to store or hold water and hence condensation occurs at dew point.
  • The rising parcel of air cools and descents down the original dew point and results in net condensation. Thus the lifted parcel of air reaches o its 100% concerning Adiabatic cooling.
5 0
3 years ago
In regards to the hydrosphere, life is contained in which of the following?
jeka94
I think it is c. bodies of water because hydro sounds like hydrate (water)
8 0
3 years ago
What island is located at 13° 28' 0"N, 144° 46' 59" E
Minchanka [31]
The island of Guam is located at 13° 28' 0"N, 144° 46' 59" E
8 0
3 years ago
Other questions:
  • Typically, books written in third person A. allow the reader to feel like an additional character. B. have unlimited access to w
    7·2 answers
  • When crustal plates move together and compress the rock into a series of waves, this process is known as? a>deposition b>
    12·1 answer
  • Which events resulted in change in Europe and Asia during the late Middle Ages? Choose all answers that are correct.
    10·2 answers
  • A
    15·2 answers
  • What percent of africa is deserts?
    11·1 answer
  • 3. What do you call the monarch or emperor of Russia prior to 1917?
    5·1 answer
  • Why did she open helen keller centre<br><br>​
    11·1 answer
  • If all of the earth was condensed to one calendar year which would not be true
    9·1 answer
  • Uruguay y La Soja<br> ¿Por qué favorecen los rendimientos en los cultivos y baja los precios?
    10·1 answer
  • Why do people in the United States vote the way they do?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!