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
UkoKoshka [18]
4 years ago
5

Explicit and Recursive Functions:

Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
7 0
In this problem we need to find the value of a and b. So given that t<span>he function should be in the form f(n) = an + b and we know each value of n, then out goal is to find a and b.

For getting this purpose, we need to find a system of two equations (given that we have two unknown variables)

Therefore:

(1) f(0) = a(1) + b = 18
</span>∴ a + b = 18
<span>
(2) f(1) = a(2) + b = 24
</span>∴ 2a + b = 24<span>

Solving for a and b we have:

a = 6
b = 12

Finally:

f(n) = 6n + 12</span>
You might be interested in
Convert each equation from rectangular to polar form. (x + 2)2 + ( y − 2)2 = 8
Monica [59]
Making the usual substitutions (x=r·cos(θ), y=r·sin(θ)), you have
  (r·cos(θ))² +4r·cos(θ) +4 + (r·sin(θ))² -4r·sin(θ) +4 = 8
  r(r +4·cos(θ) -4·sin(θ)) = 0
Dividing by r then subtracting the non-r terms gives
  r = 4(sin(θ) -cos(θ))

3 0
3 years ago
Are all irrational numbers real numbers. If so , why
Elena L [17]
Yes, all numbers are real numbers because a number is a number, and nothing can change that. I hope this helps you!











5 0
4 years ago
"think through math" 4th grade "answers"
harina [27]
What kind of question is tht ,where is the question
6 0
3 years ago
Read 2 more answers
Gallon of
Veronika [31]

Answer:

12 gallons

Step-by-step explanation:

6 0
3 years ago
Factor: 2x^2-3x-20=0
Anon25 [30]

Answer:

x=-5/2,4

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A rectangular pan has a length that is 4/3 the width. The total area of the pan is 432 in^2. What is the width of the pan?
    11·1 answer
  • two negative integers are 8 units apart on the number line and have a product of 308. which equation could be used to determine
    15·2 answers
  • The surface areas of two similar triangular prisms are 132 m2 and 297 m2. The volume of the smaller prism is 264 m3. What is the
    15·1 answer
  • A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what
    9·1 answer
  • Your friend just purchased a new sports car for $32,000. He received $6,000 for his trade in and he used that money as a down pa
    14·2 answers
  • Please answer i need this right now it is IMPORTANT
    8·1 answer
  • Help please I am confused ​
    14·2 answers
  • 2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could
    11·1 answer
  • A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e
    10·2 answers
  • 2-Bromo-3-methyl pentanoic acid​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!