1answer.
Меню
Ask question
Login
Signup
Ask question
Menu
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
Schach
[20]
3 years ago
10
The number of seats in the first five rows of an amphitheater is shown in the table below.
Mathematics
Answer
Comment
Send
1
answer:
Arte-miy333
[17]
3 years ago
3
0
F(n)=an+b
We need to find "a" and "b"
when n=1→f(n)=f(1)=18 (see the table), replacing n=1 and f(n)=18 in the equation above, we have:
n=1→f(1)=a(1)+b→a+b=18 (1)
when n=2→f(n)=f(2)=24 (see the table), replacing n=2 and f(n)=24 in the equation above, we have:
n=2→f(2)=a(2)+b→2a+b=24 (2)
We have a system of 2 equations and 2 unknwons:
(1) a+b=18
(2) 2a+b=24
Subtractict equation (1) from equation (2):
Equation (2) - Equation (1):
2a+b-(a+b)=24-18→2a+b-a-b=6→a=6
Replacing "a" by 6 in equation (1):
(1) a+b=18→a=6→6+b=18→6+b-6=18-6→b=12
Then the equation is:
f(n)=an+b; a=6, b=12
f(n)=6n+12
Answer: f(n)=6n+12
Send
You might be interested in
The ratio of the number of girls who liked a white T-shirt best to the number of girls who liked a colored T-shirt best was ...
Virty [35]
Answer:
YEs
Step-by-step explanation:
BeCauSe
7
0
3 years ago
What is the answer to 2 3/4a=19 1/4
Nookie1986 [14]
2 3/4a=9 1/4
2.75a= 9.25
cross off 2.75 and a will remain
divide 9.26 and 2.75
so a=3.36363636
a=<span>3.36363636
but you can round it to a=3.4ish i guess</span>
5
0
3 years ago
Que entiendes com latinoamerica?
evablogger [386]
Esta es una pregunta de matemáticas?
7
0
3 years ago
2/5 divided by 2/3 in simplest form
ankoles [38]
The answer is 3/5 in simplest form
4
0
2 years ago
Read 2 more answers
Can someone please help me with this, it’s urgent!!
olga nikolaevna [1]
Answer:
B n D
Step-by-step explanation:
5
0
3 years ago
Read 2 more answers
Other questions:
What is the length of DE?
14
·
1 answer
Plz help...................
13
·
1 answer
Add 4.6 cm + 2.35 cm
12
·
2 answers
According to a label there are 25 cals per serving of turkey lunch meat. How many cals are there in 2.5 servings?
12
·
1 answer
What is the answer to this? 8x + 25 = 78 10x + 48 = 100 20x + 5 = 100? Plz Help
5
·
1 answer
Pls solve and explain
14
·
1 answer
Greta has finished reading 15 pages from a 20-page magazine article. Which of these is another way to express the fraction of th
12
·
1 answer
PLEASEEEEE HELPPPPP MEEEEEE ASAAPPPPPPP!!!!!!!!!!!!!!!
14
·
1 answer
There is a line that includes the point (6,6) and has a slope of -8. What is the equation in point-slope form?
11
·
1 answer
In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
11
·
1 answer
×
Add answer
Send
×
Login
E-mail
Password
Remember me
Login
Not registered?
Fast signup
×
Signup
Your nickname
E-mail
Password
Signup
close
Login
Signup
Ask question!