50 Points Per Answer
Create a function in factored form for a roller coaster.

• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)

Answers

Answer 1

Answer:

Since you have 3 local extremas, you will have a polynomial function of degree 4.  The domain of the function is [0, 4].

 

Use these initial conditions as your guidelines:

 

f(0) = 250

 

f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].

 

f(x) decreases in any of the following intervals: (0, 1) or (2, 3)

 

 

Remember, you will have an arbitrary function that satisfies these conditions.

Step-by-step explanation:

I did :Your coaster ride must have at least 3 relative maxima and/or minima


Related Questions

The ratio of children to adults at a swimming pool is 8:3. If there are a total of 110 people at the pool, how many of them are adults?

Answers

There are 30 adults in the swimming pool.

The ratio is a quantitative approach that shows the relation between two proportions.

From the given relation, the ratio of of the children to adults = 8 : 3

The total number of the ratio = 8 + 3 = 11

Given that there are 110 people in the population.

The number of adults that are there will be:

[tex]\mathbf{=\dfrac{3}{11}\times 110}[/tex]

= 30 adults

Learn more about ratio here:

https://brainly.com/question/13419413?referrer=searchResults

Sketch the graph of a 4th degree polynomial function f(x) such that f(- 3) = 0, f(- 1) = 0, f(1) = 0 , and f(3) = 0 and f(x) is increasing at extreme left.​

Answers

Answer:

  see attached

Step-by-step explanation:

For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...

  f(x) = -(x +3)(x +1)(x -1)(x -3)

__

The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.

Help!
Algebraic Relationship
y= x/4-1

Answers

32, 7

0, - 1

20, 4

You just plug in the numbers and solve

Can anyone help, im stuck

Answers

Answer:

The second one is right

Step-by-step explanation:

anyone help, im stuck

Answer:

The third one

Step-by-step explanation:

Since, 1 can be represented by x we can make an equation

2 can be represented y

and 4 can be represented by x

Since x + y = 180 and x + z = 180

y = z

Or 2 = 4

Brainliest please :)

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick :D

Answers

Answer:

No, it is not a prime factorization, this is the real prime factorization

Step-by-step explanation:

2⁵x 3 x 5⁴ x 11

The first one was not a prime factorization because 8 is not a prime number.

A customer in a coffee shop purchases a blend of two coffees: Kenyan, costing $3.50 a pound, and Sri Lankan, costing $5.60 a pound. He buys 3 lb of the blend, which costs him $11.55. How many pounds of each kind went into the mixture

Answers

Answer:

10.55.

Step-by-step explanation:

no

The side of the Australia flag are in a ratio of 1.2.if the flag is 5 feet long what is its height?

Answers

2.5 maybe sorry if i wrong

help me with this please

Answers

Answer:

12

Step-by-step explanation:

[tex]1/3(3)(12)[/tex]

The 1/3 and 3 cancel and you are left with

[tex]12[/tex]

Yep, the person above is completely correct!

6.
3. Use the clues to determine
the number
I have 36 hundreds, 34 tens, and
7 ones. What number am I?

Answers

The number is 3947

It should be noted that 36 hundreds will be equal to:

= 36 × 100

= 3600

It should be noted that 34 tens will be:

= 34 × 10

= 340

7 ones will be:

= 7 × 1

= 7.

Therefore, the sum will be:

= 3600 + 340 + 7 = 3947

Answer:

3947

Step-by-step explanation:


What should a bank statement include

Answers

A bank statement is a list of all transactions for a bank account over a set period, usually monthly. The statement includes deposits, charges, withdrawals, as well as the beginning and ending balance for the period.

The top of a bank statement generally shows the name of the account holder along with sensitive information such as bank account number and branch number. It also contains a summary table that shows the time period, opening balance, deposits, withdrawals, and closing balance.

- BRAINLIEST answerer

It took Jada's aunt 3/4 hour to put a puzzle together. It took Jada 2 1/3 times as long as her aunt to put the puzzle together.

How long did it take Jada to put the puzzle together?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

1 3/4 brainliest please

Step-by-step explanation:

Answer:It took Jada 1 3/4 hours to put the puzzle together.

Step-by-step explanation: Multiply 3/4 by 2 1/3 and you get the answer.

ΔCDE was translated down and right to form triangle
ΔC′D′E′ Which statements are true? Check all that apply.

Answers

Answer:

1) DE ≅ D′E′  

2) EC ≅ E′C′  

5) D′C′ ≅ DC  

6) ΔCDE ≅ ΔC′D′E′

 

Hope it helps!

Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -

Answers

Answer:

Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is

Step-by-step explanation:

calculating the change between two points.

Aubree is making different shades of pink paint to use for an art project. A batch of dark pink uses 2.5 cups of red paint and 1.5 cups of white paint. A batch of light pink uses 0.75 cup of red paint with 1.25 cups of white paint. She begins with a gallon of red and a gallon of white paint. How much of each color paint will she have left if she makes a batch of dark pink and light pink every day for a week?

Answers

Answer:

Cups of red paint for a batch of dark pink - 2.5

Number of gallons of red paint that she starts with - 1

Cups of red paint for a batch of light pink - i did not get that one

Step-by-step explanation:

Home Schoology
d. 42
3. The museum has 35 molecule models. They need
to be packaged 4 to a box. After 8 boxes are
filled, how many models will be left?
a. 3
b. 2
c. 1
d. 0
Which one is the answer

Answers

Step-by-step explanation:

there are 35 in total.

4 go into one box.

so, how many in 8 boxes ?

well, 4×8 = 32

what is the difference between 32 and 35 ?

35 - 32 = 3

so, 3 models are still left.

Is cell replication the same thing as DNA replication? Or are they two separate things

Answers

Answer:

Conservative. Replication produces one helix made entirely of old DNA and one helix made entirely of new DNA.

Semi-conservative. Replication produces two helices that contain one old and one new DNA strand.

Dispersive.

Step-by-step explanation:

Replication is the process by which a double-stranded DNA molecule is copied to produce two identical DNA molecules. DNA replication is one of the most basic processes that occurs within a cell.

PLS HELP ASAP ITS FOR MY ASSIGNMENT DUE RN!!! WHOEVER ANSWERS FIRST GETS BRAINLIEST, 5 STARS, AND A THANKS!!!!

Answers

Nico added 1 1/2 instead of subtracting1 1/2 should be subtracted from 9 7/11.

[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]

[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]

[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]

You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (ℎ) of the lamppost?

Answers

the lamp is 12.5 feet

Philip currently has $450 in his checking account. Each month Netflix withdraws $15 for dues. Which equation can be used to find y, the current amount in Philip's checking account after x number of months?

Answers

The answer is 30 I’m 100% right

The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.

Answers

Answer:

-9?????????????????????????

Step-by-step explanation:

Find the y-intercept and the vertex of y+-x^2+6x-8 using standard form

Answers

Answer:

-x^2+y+6x-8

hope this helps

Help me please!! :) :)

Answers

THE SECOND AND THIRD ANSWERS

What is the Value of (-0.5) (-7.0)?

Answers

the answer is (-0.5) (-7.0)= 3.5

[tex]\sf 45-4x=75-6x[/tex]

Answers

[tex]\sf \longmapsto45 - 4x = 75 - 6x[/tex]

[tex]\sf \longmapsto45 - 75 =- 6x + 4x[/tex]

[tex]\sf \longmapsto -30 =- 2x[/tex]

[tex] \sf \longmapsto \frac{ 30}{2} = x [/tex]

[tex]\sf \longmapsto 15 = x[/tex]

[tex]\sf \longmapsto \: x ≈15[/tex]

=> 45 - 4x = 75 - 6x

=> 45 - 75 = -6x + 4x

=> -30 = -2x

=> x = 30/2

=> x = 15

What is the common difference for this arithmetic sequence 45,40,35,30,25,

Answers

Answer:

-5

Step-by-step explanation:

What the least common denominator for 11/12 5/6 and 1/5

Answers

Answer:

60

Step-by-step explanation:

Answer:

[tex]LCD[/tex] [tex]is[/tex] [tex]60[/tex]

Step-by-step explanation:

We look for the [tex]LCM[/tex] between these 3 number

[tex]12: 12,24,36,48,60\\6:6,12,18,24,30,36,42,48,54,60\\5:5,10,15,20,25,30,35,40,45,50,55,60[/tex]

Our [tex]LCM[/tex] is 60

that means our [tex]LCD[/tex] is [tex]60[/tex]

Brainliest please

Evaluate (x +40) -- 23 when 2 = = 8.
8
O A. 5
B. 48
C. 6
D. 8
Pls help

Answers

Answer:

C

Step-by-step explanation:

x=8

(8+40)= 48

2³=2×2×2=8

48:8=6

please help meeeeeeeeeeeeeeee

Answers

the answer is 81 :)

645 plus 763 to the nearest hundredth

Answers

Answer:

1408

What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong

_______ x 0.7 = 0.287

Answers

Answer:

0.41

Step-by-step explanation:

Simply reverse it:

0.287 / 0.7 = 0.41

Answer:

0.41 is the answer for _______×0.7=0.287

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