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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

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G(n) = 4n +4<br> h(n) = n +5<br> Find (g- h) (9)
Vinil7 [7]

Answer:

3n-1

Step-by-step explanation:

(4n+4) - (n+5)

i sperate it to be

4n-n and 4-5

so

3n-1 should be it

5 0
3 years ago
MNOP is similar to QRST with a scale factor of 5 : 4. MP = 85mm. What is the value of QT?
chubhunter [2.5K]
MNOP is similar to QRST with ratio of 5:4<span>. That means the MP:QT ratio would also be 5:4

The length of QT would be
</span>MP/QT = 5/4<span>
85mm/QT=5/4
85mm*4= 5*QT
5QT= 340
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8 0
3 years ago
The function f(x) = –StartRoot x EndRoot is represented by the graph. What is the range of the given function? {y | all real num
ICE Princess25 [194]

Answer:

  {y | y ≤ 0}

Step-by-step explanation:

The vertical extent of the graph is all values of y less than or equal to zero:

  {y | y ≤ 0}

3 0
3 years ago
Read 2 more answers
1. WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the
Eva8 [605]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Upper level seat = $25

Mid level seat = $40

Number of tickets to give away is at least 25

Budget constraint = $1000

part A: write a system of two inequalities that describe this situation

Number of tickets constraint:

Upper level + mid level ≥ 25

u + m ≥ 25

Cost constraint :

$25u + $40m ≤ $1000

Part B:

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8 0
2 years ago
The equation(function):10.00+.75x
valentinak56 [21]

Answer:

Answer:

b. -75x+57=-75x+57

Step-by-step explanation:

If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,

In option a.

57x+57=-75x-75

57x + 75x = -75 - 57

132x = -132

⇒ x = -1

i.e. it has only one solution,

In option b.

-75x+57=-75x+57

-75x + 75x = 57 - 57

0 = 0  ( True )

i.e. it has infinitely many solution.

In option c.

75x+57=-75x+57

75x + 75x = 57 - 57

150x = 0

⇒ x = 0

i.e. it has only one solution,

In option d.

-57x+57=-75x+75

-57x + 75x = 75 - 57

18x = 18

⇒ x = 1

i.e. it has only one solution.

Step-by-step explanation:

6 0
3 years ago
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