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
mamaluj [8]
3 years ago
9

The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w^2+5w+9, whe

re w is the number of weeks since the amusement park opened for the season.
The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w^2+9w+12, where w is the number of weeks since the amusement park opened for the season.

What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

0.2w^2+4w+3

Step-by-step explanation:

a(w)=−0.4w^2+5w+9

c(w)=−0.2w^2+9w+12

We want to find the how many more children than adults

f(w) = c(w) - a(w)

    = −0.2w^2+9w+12 - ( −0.4w^2+5w+9)

Distribute the minus sign

= −0.2w^2+9w+12 +0.4w^2-5w-9

Combine like terms

 = 0.2w^2+4w+3

You might be interested in
John has a coin and a spinner with 4 equal sections, one colored red, one blue, one colored green, and one colored, purple. Crea
dem82 [27]

Answer:

Heads/red

Heads/green

Heads/purple

Heads/blue

Tails/red

Tails/green

Tails/purple

Tails/blue

Possible outcomes: 8

3 0
3 years ago
Tionna has saved dimes and quarters in her piggy bank. Define the variables
olya-2409 [2.1K]

Step-by-step explanation:

y = .10d + .25q

y is the total amount, if you have d dimes and q quarters

4 0
3 years ago
A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin
g100num [7]

Answer: (24.28,\ 27.72)

Step-by-step explanation:

Given : Sample size : n=50

Sample mean : \overline{x}=26

Standard deviation : \sigma =6.2

Significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Formula to find the confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=26\pm(1.96)\dfrac{6.2}{\sqrt{50}}\\\\\approx26\pm1.72\\\\=(26-1.72,\ 26+1.72)\\\\=(24.28,\ 27.72)

Hence, a 95% confidence interval for the population mean = (24.28,\ 27.72)

6 0
3 years ago
Solve the system of equations. −9y+4x−20=0−7y+16x−80=0\begin{aligned} &-9y+4x - 20=0 \\\\ &-7y+16x-80=0 \end{aligned} ​
gulaghasi [49]

Answer:

  • (x, y) = (5, 0)

Step-by-step explanation:

\begin{aligned} &-9y+4x - 20=0 \\ &-7y+16x-80=0 \end{aligned}

Subtract 4 times the first equation from the second:

  (-7y +16x -80) -4(-9y +4x -20) = (0) -4(0)

  29y = 0 . . . . . simplify

  y = 0 . . . . . . . .divide by 29

  4x -20 = 0 . . . . substitute 0 for y in the first equation

  x -5 = 0 . . . . . .divide by 4

  x = 5 . . . . . . . . add 5

The solution to this system is (x, y) = (5, 0).

7 0
3 years ago
A ___________ consists of two or more inequalities. At least one of these is nonlinear.
Slav-nsk [51]
B : Nonlinear system of inequalities
5 0
3 years ago
Read 2 more answers
Other questions:
  • Given the ratio of 8 ounces to 1 cup, how many ounces are in 4 cups?
    5·2 answers
  • A number divided by 6 is 18
    15·2 answers
  • Ella has 50 stacks of ten pennies in each stack. Describe how to find how many pennies Ella has in all
    5·2 answers
  • (7 + 3) divided by (5 x -1)
    14·1 answer
  • Paul can choose to be paid $50 for a job or he can be paid $12.50 per hour Under what circumstances should he choose the hourly
    11·1 answer
  • What type of data distribution is shown on the<br> graph?
    8·2 answers
  • Some body can help me to find the whole area and tell me how do you get the answer step by step please to understand please I ne
    12·1 answer
  • Find the Tolal Surface Area​
    11·2 answers
  • Can someone help me with this please
    9·1 answer
  • Emilia and Darnell are arguing over who makes the best fruit punch. Emilia likes to use 2 cups of grape juice for every 5 cups o
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!