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

a. Why does the provided equation support the fact that there is a horizontal asymptote of F(x) that is not
on the x-axis?
(ax-3)(x-2)divide2(x+3)(x-2)
Y=-2 is a horizontal asymptote

Answers

Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

The function is given by:

[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

The horizontal asymptote is the limit of the function as x goes to infinity, hence:

[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

Considering only the terms with the highest exponents:

[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]

Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

answer is in the above picture

reflect the co ordinate (7,-5) in the y-axis

Answers

Answer:

(-7, -5)

Step-by-step explanation:

Hope this helps!

How would I solve [tex]-2 \frac{1}{2} - -2 \frac{1}{2}[/tex]

Answers

that would be 0 because since you have a double negative

-2/1/2 + 2/1/2 = 0

This and one more question, it’s now going to be put at much more points

Answers

Step-by-step explanation:

Number of stickers Rafael has left

= [tex]100 - 6s[/tex]

Substitute [tex]s = 7[/tex]into the expression.

[tex]100 - 6(7)[/tex]

= [tex]100 - 42[/tex]

= [tex]58[/tex]

Fill in the blank

Never gonna ____ ___ ___, Never gonna let you down, Never gonna run around and _____ you.

Answers

Answer:

give you up desert you

Step-by-step explanation:

give you up desert you

Answer:

NEVER GONNA GIVE YOU UP

AROUND AND DESERT YOU

Extra for fun: NEVER GONNA LET YOU CRY NEVER GONNA SAY GOODBYE (i think)

Step-by-step explanation:

Just is correct trust me exept the extra extra im not fully sure

Letting x represent the number of messages over 500, and y the total monthly charges, write

equations representing the charges for plans A and B.

Answers

Answer:

x=500

Step-by-step explanation:

Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.

Answers

Answer:

15(2) + 15 (-5) . #45 drop

Step-by-step explanation:

What is the total annual dividend received from owning 50 shares of stock A, if Company A issues a $0.10 quarterly dividend to its shareholders?
total annual dividend = [?]
Round to the nearest hundredth.​

Answers

Answer:

20 dollars

Step-by-step explanation:

.10 x 4 (each quareter) = .40

.40 x 50 = 20.00

= $20.00

what is the answer??????​

Answers

1. D 2. A



have a good day

Answer:

1) ⅓

2) ⅓

Step-by-step explanation:

1)  The repeating decimal, 0.333333.., is the same as when simplified.

If we express 0.333333...  as a fraction to the nearest hundreths:  [tex]\frac{33}{100}[/tex], and 33 is a third of a hundred, which is ⅓.    

Therefore, the fraction form of 0.333333... is ⅓.

2) In order to determine the product of 4/6 and 2/4, simply multiply the numerator of both fractions together. Similarly, do the same for both denominators.

[tex]\frac{4}{6}[/tex] × [tex]\frac{2}{4}[/tex] = [tex]\frac{4 * 2}{6 * 4} = \frac{8}{24}[/tex]

Next, simplify [tex]\frac{8}{24}[/tex] by dividing it with [tex]\frac{8}{8}[/tex]:

[tex]\frac{8}{24}[/tex] ÷ [tex]\frac{8}{8}[/tex] =

Therefore, the product of [tex]\frac{4}{6}[/tex] and [tex]\frac{2}{4}[/tex] is  ⅓.

Please 10 points for one question
Please don’t answer if you don’t know

Answers

Answer:

answer is 60° hope it will help you

Please help and no links

Answers

Answer:

B) y=3x

Step-by-step explanation:

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.

If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.

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.

.
Christian pays $15 to join a music streaming service. He also pays $0.99 for each song he downloads from the same service.

Which function can be used to find, y, the the amount of money Christian spends for x downloaded songs?

y = 0.99x + 15

y = 15x + 0.99

y = 15x

y = 0.99x

Answers

The total amount of money Christian spends to download x xongs is y = 15 + 0.99x.

Christian initially pays $15 to join the music service.

Also, he pays $0.99 for each song he downloads from the service.

If he downloads x songs, the amount extra he pays per song he downloads is price per song × number of songs = $0.99 × x = $0.99x.

This amount is added to the initial $15 he pays to join the service. So, the total amount of money he pays is y = initial amount + extra per song = $15 + $0.99x = $0.99x + $15

So, the total amount of money Christian spends to download x xongs is y = 15 + 0.99x.

Learn more about linear equations here:

https://brainly.com/question/11767839

True or false: The relationship among the triple constraint variables is such that if any one changes, at least oneother is likely to be affected.

Answers

We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.

A relationship among the triple constraint variables is written as:

y = f(x, z)

Where the 3 variables are x, y, and z and represent cost, scope, and time.

This means that if either x or z changes, also does y.

And we always can rewrite the relationship in two other forms:

x = g(z, y)

z = h(x, y)

Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/25368922

I need help with this prom now please and thank youl

Answers

Answer:

cannot

not constant

Step-by-step explanation:

1st rate of change is 5 - (-1) / 4 - 2 = 6 / 2 = 3

2nd rate of change is  15 - 5  / 6 - 4 = 10 / 2 = 5

3rd rate is 29 - 15 / 8 - 6 = 14 / 2 = 7

cannot be modeled into a linear equation

rate of change is not constant

YES I WILL MARK BRAINLIST:D

Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.

Determine the amount of hotdogs that can be purchased if Sarah orders 4 drinks.

Question 4 options:

4 hotdogs


7 hotdogs


6 hotdogs


5 hotdogs

Answers

The answer is 6 hotdogs. If you plug in the number of drink for y you get 12. 24-12=12. 12/2=6

Answer:

6 hotdogs

Step-by-step explanation:

:)

HELP * PICTURE INSERTED*

Answers

Answer:

9m^2

Step-by-step explanation:

Area of triangle = 1/2 ×base×height

=1/2(2/3m ×27m)

Area of triangle =9m^2

Can you help me plzzzzzzz

Answers

Answer:

Step-by-step explanation:u have to add x+6 = ur answer there u go

A leaky pipe drips 2 fluid ounces of water per hour. How many cups of water does it leak in 2 days? Remember that 8 fluid ounces = 1 cup

Answers

Answer:

12 cups

Step-by-step explanation:

There are 48 hours in two days.

48 · 2 = 96 ( 2 being fluid ounces per hour )

96 ÷ 8 = 12 ( 8 being fl oz in each cup )

I hope that this helped!!!

Kirk has already prepared 16.27 kilograms of dough and will continue preparing 5.88 kilograms of dough every hour. How many hours did Kirk work if he prepared 80.95 kilograms of dough

Answers

Answer:

11 hours

Step-by-step explanation:

First, you need to subtract 16.27 from 80.95 to get how many kilograms of dough he had prepared in that amount of time. 80.95-16.27=64.68. Then you would divide 64.68 by 5.88 to find the total amount of hours he worked. 64.68/5.88=11 hours of work.

HELP PLZZ!!!!!
Find x.

Answers

Answer:

6.1

Step-by-step explanation:

So you would use tan as u are looking for the opposite and already have the adjacent.

tan(22) x 15 = 6.06 or 6.1

Answer:

x = 6.06

Step-by-step explanation:

tan (22°) = x/15

0.404 = x/15

x = 6.06

factorize the expression below pls help giving brainliest

Answers

Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

[tex]2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)[/tex]

[tex]8a^2b^3 - 4ab^4 = XaY^3(z - b)[/tex]

[tex]4ab^3(2a-b) = XaY^3(z - b)[/tex]

X = 4

y = b

z = 2a

Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour

Answers

Answer:

Step-by-step explanation:

that sucks

Answer:

Answer: 20025 gallons per hour

89 times 60= 5340 cups in one minute

5340 times 60= 320,400 cups in one hour

Convert 320,400 cups into gallons and you will get 20025.

Not positive if this is correct but it’s better than nothing lol

35-2x4 to the 2 power

Answers

Answer:

I belive the answer is 3.

Step-by-step explanation:

35-2x4^2

35-2x16

35-32

3

Answer:

[tex]1225-140x^4+4x^8[/tex]

Step-by-step explanation:

(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]

Applying this formula, we get 1225+4x^8-140x^4

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer:

Your first equation y=1/2(1+0.3)^t is going to be growth

Your second equation y=0.3(0.95)^t is going to be decay

Your third equation y=((1+0.03)^1/2)^2t is going to be growth

your fourth equation y=200(0.73)^t is going to be decay

your last equation y=4(1/4)^t is going to be decay

Step-by-step explanation:

You can find this by graphing each of you equations on desmos

Answer:

Step-by-step explanation:

See attachment

6. Calculate the compound interest on investing $600.00 for 2 years at 7% per year.​

Answers

Answer:

686.94

Step-by-step explanation:

first year, 42 interest

second year, 44.94 interest

Total=686.94

hi! can someone please help me with these i’m confused on how to answer it

Answers

Answer:

Step-by-step explanation:

variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5

Answers

Answer:

16.3x

17. 8y

18.x+y

I thing these are the answers of these equations

x + 3 is not the same as 3x

Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.

Answers

Answer: y = (28/4)x + 4

Step-by-step explanation:

We'll be using 20, 144 (1) and 24, 172 (2) for this

slope = y2 - y1 / x2 - x1

slope = 172 - 144 / 24 - 20

slope = 28/4

y = mx + b

y = (28/4)x + b

We can then reduce 20, 144 by 4, 28

20, 144

16, 116

12, 88

8, 60

4, 32

0, 4

The y-intercept is when x = 0, so its 4.

Plug that into y = mx + b

y = (28/4)x + 4

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