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
Oxana [17]
3 years ago
12

A member of the local department of transportation recorded the number of passengers that arrived on flights at the airport base

d on the month of the year. Some of her data is in the table, where month 1 is January, month 2 is February, and so on.
Month Passengers
1 3,771
2 3,814
5 3,890
7 3,889
10 3,881


If the curve of best fit for the data is y = -5x2 + 60x + 3,715, which is the best prediction of the number of passengers that arrived on flights in April?

A.
3,875
B.
3,895
C.
3,915
D.
5,823
Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

The correct option is A,3875  passengers

Step-by-step explanation:

The curve of best fit for the date y=-5x^2+60x+3715

For April which month 4  which means that x is 4

By substituting 4 for x in the equation we can determine y, the number of passengers that arrived on flights at the airport  is determined thus.

y=-5*4^2+(60*4)+3715

y=-5*16+240+3715

y=-80+240+3715=3875

The number of passengers that arrived by flights in April, month 4 is 3875

You might be interested in
Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4
steposvetlana [31]

f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}


\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

6 0
3 years ago
Read 2 more answers
A local amusement park charges $20 for an admission fee and $5 for each ride.
german

Answer:

20+5x=

Step-by-step explanation:

3 0
3 years ago
The number of goals a hockey team scores over the first 7 games of the season is shown Below
lyudmila [28]

Answer:

The mean standard deviation is 10/5

Step-by-step explanation:

6 0
3 years ago
Find the sum of two consecutive numbers if the smaller one is 43
Alexxx [7]

Answer:

87

Step-by-step explanation:

Smaller number = 43

Bigger number= 44

Sum = 43+44

8 0
2 years ago
Read 2 more answers
Help with this system of equations !! y = 3x + 21; y = -7x + 2
s2008m [1.1K]
C) x = -19/10 because when solving it with substitution u get x=-19/10 & y=153/10
3 0
3 years ago
Other questions:
  • Edward had 45 water bottles. If he drank 1/9 of water bottles, how many did he drank?
    8·1 answer
  • In​ 2015, there were approximately 31,800 firearms fatalities. Express this quantity in deaths per hour
    10·1 answer
  • At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician
    6·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
    6·2 answers
  • Which of the following statements correctly compares the median and range of their scores?
    8·1 answer
  • Simon makes eleven dollars an hour.
    14·2 answers
  • Need help please ill give brainliest to anyone‼️‼️‼️
    9·1 answer
  • Hailey was given a box of assorted chocolates for her birthday. Each night, Hailey treats herself to some chocolates. The number
    15·2 answers
  • Pls help ill give brainleist
    10·1 answer
  • Can you help me please.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!