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

Which statement is true about the prime polynomial 2x2 + 3x + 3?

It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

it cannot be modeled with a rectangle

Step-by-step explanation:

let's eliminate the wrong answers first

1. it cannot be modeled with all positive tiles --- this incorrect because it is all positive, so it CAN be modeled with all positive tiles

2. it can only be modeled with an odd number of tiles -- not true, because 2x^2 is  even number of tiles

3. it can be modeled with a square -- to be modeled as a square, the polynomial have to be factored into square ie (x+2)², but cann't be factored as square, so again not true

therefore, first one is the answer. because you cannot factor the polynomial as such (x+2)(x+3), so it cannot be modeled with a rectangle.

Answer:

A: It cannot be modeled with a rectangle.

Step-by-step explanation:

100%

6x-14<-14 or 3x+10>13

Answers

Step-by-step explanation:

not sure the question but I can solve the equations

6x-14<-14

6x<0

×<0

3x+10>13

3x>3

×>1

find the slope of the line that passes through the following points a(4, -14) b(6, 18) ​

Answers

Answer:

Slope=16

Step-by-step explanation:

At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows:$2.95 $1.19 $4.61 $1.74 $3.04 $8.83 $1.16 − $0.75 (coupon) − $1.00 (coupon) The register gives your total bill as $21.77.

Answers

Answer:

0 is the best answer 12345

Find the length of side x to the nearest tenth.
х
600
30°
17

Answers

Answer:

5.3

Step-by-step explanation:

Stare at the triangle for a bit. And try to add another one sharing the unmarked angle. You end up with an equilateral triangle. It means [tex]\sqrt7[/tex] is half the hypotenuse, At this point,

what is the answer for

Determine the constant of proportionality for the graph.

10 1/5 5 or 2

Answers

Answer:

1/5

Step-by-step explanation:

y = kx

k is the constant of proportionality

Pick any of the indicated points.

Using point (20, 4)

4 = k(20)

Divide both sides by 20

4/20 = k

reduce

1/5 = k

helpppp meeee mateeee

Answers

No, Yes, No, No

-6 = (w/9) - 1

add 1 both side

-5 = w/9

multiply 9 by both sides

w = -45

Answer:

I'm pretty sure -45 is the only answer out of all of those.

40.185 + 0.01
Round your answer to the nearest
hundredth.

Answers

Answer:

40

Step-by-step explanation:

Answer:

40.20 luv:)

Step-by-step explanation:

An item sells for $40. The sales tax is 8%. What is the total cost of the item?

Answers

Answer:

43.20

Step-by-step explanation:

I looked up what is 8% of 40 then added it to 40

Step-by-step explanation:

the item sold $40

the sales tax 8%

8/100*40

3.5

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was three years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5 years. Conduct a hypothesis test at a 5% significance level to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.

Answers

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

[tex]H_0: \mu = 2.5[/tex]

At the alternative hypothesis, it is tested if it has increased, that is:

[tex]H_1: \mu > 2.5[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}[/tex]

[tex]z = 1.7[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of [tex]z^{\ast} = 1.645[/tex]

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at https://brainly.com/question/24166849

Define suitable populations from which the following samples are selected: (a) Persons in 200 homes in the city of Richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) A coin is tossed 100 times and 34 tails are recorded. (c) Two hundred pairs of a new type of tennis shoe were tested on the professional tour and, on average, lasted 4 months. (d) On five different occasions it took a lawyer 21, 26, 24, 22, and 21 minutes to drive from her suburban home to her midtown office.

Answers

Using sampling concepts, it is found that the suitable populations are:

a) All Richmond residents.

b) Results of all coin tosses.

c) All pairs of the new type of tennis shoe.

d) The average time on all days is takes to drive from her suburban home to her midtown office.

An example of sampling is asking a sample of 500 Buffalo Bills fans if they think their offense should run the ball more.

The population is all Buffalo Bills fans.

Hence, following the example, first identifying the sample and then expanding it for the population the items are answered.

Item a:

Sample of 200 Richmond homes, hence, the population is all Richmond residents.

Item b:

Sample from the results of 100 coin tosses, hence the population is the results of all coin tosses.

Item c:

Sample from 200 pairs of the new tennis shoe, hence the population is all the pairs of this new tennis shoe.

Item d:

Sample for the time it took to drive from her suburban home to her midtown office of 5 days, hence, the population is the time for all days.

A similar problem is given at https://brainly.com/question/25122507

What is the Y-Int, Slope, and Slope-Intercept form? Need help!

Answers

The y int is -3 and the 3/2

what is the answer???????​

Answers

Answer:

1.12+8.13-3.5=5.75

2.6×300=780

Answer:

1) 5.75

2) 780

Step-by-step explanation:

1.12+8.13=9.25

9.25-3.5=5.75

Multiple 26x300, then move two decimal places to the right

Pls Hurry YES I AM GIVING A BRAINLIST AND PLS BE ACCURATE

Answers

Answer:

I haven't understand this

Step-by-step explanation:

2x+y=1

Manuel ran his mile in 7.332 minutes. How fast is that to the nearest hundredth? Explain your answer.

Answers

Answer:

7300

Step-by-step explanation:

this is because 3 is in the hundreds column and is rounded down

because the number behind is 3 so it stays the same some it is 7300

Distance=1miTime=7.332minutes=7.332(60s)=439.92s[/tex]

[tex]\\ \sf\longmapsto Speed=\dfrac{1mi}{439.92s[/tex]

[tex]\\ \sf\longmapsto Speed=0.00227mi/s[/tex]

[tex]\\ \sf\longmapsto Speed=0.0023mi/s[/tex]

[tex]\\ \sf\longmapsto Speed=0.002mi/s[/tex]

A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much interest will the customer earn in 20 years

Answers

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Can you’ll help me pls , I really need help.

Answers

Answer:

-t + 4.5>7

Step-by-step explanation:

-18 = t

-t = 18

18+4.5 = 22.5

22.5>7

Boom

hope it helps :)

Solve the system of equations using elimination.

6y−4x=20−4y+3x=−12


(4, 6)

(−4, 6)

(−4, −6)

Answers

Answer: A. (4,6)

Step-by-step explanation: 2(6y−4x = 20)                                                   3(−4y+3x = −12)                                                                                                     −8x+12y = 40                                                                                                     9x−12y = −36                                                                                                   -8x+9x                                                                                                                 +12y-12y                                                                                                               40-36                                                                                                                     x=4                                                                                                                   6y−4x = 20                                                                                                       6y−(4)(4) = 20                                                                                                   6y−16+16 = 20+16                                                                                                 6y/6 = 36/6                                                                                                           y = 6                                                                                                                       x = 4, and y = 6.

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

The given system of equations are 6y-4x=20 and -4y+3x=-12.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)

Multiply equation (I) by 3, we get

-12x+18y=60 ----------(III)

Multiply equation (II) by 4, we get

12x-16y=-48 ----------(IV)

Add equation (III) and (IV), that is

-12x+18y+(12x-16y)=60-48

⇒ 2y=12

⇒ y=6

So, 6y-4x=20

⇒ 36-4x=20

⇒ -4x=-16

⇒ x=4

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3

1- how much time will it take for elena to pay back all the money she borrowed

Answers

Answer:

Well according to the graph it took Elena 6 weeks to pay her brother back

Step-by-step explanation:

Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.

3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks

If you answer it right i will give Brainliest. Take 7 times 5= divided by 25 times 100 = divided by 300.

Answers

Step-by-step explanation:

7×5÷25×100÷300

25÷5=5

7×5×100÷300

300÷100=3

7×5×3=105

a diver dives from a 10m springboard. the equation f(t)=-4.9t^(2)+4t+10 models her height above the pool in seconds. what is her height at 1.5 second after diving off the springboard

Answers

Answer:

4.975 meters

Step-by-step explanation:

[tex]f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975[/tex]

4.975 meters

-Chetan K

y+5 = -3/2(x-2) in slope intercept form

Answers

Answer:

  y = -3/2x -2

Step-by-step explanation:

Solve for y:

  y +5 = -3/2x +3 . . . . . eliminate parentheses

  y = -3/2x -2 . . . . . . . . subtract 5

The slope-intercept form of the equation is ...

  y = -3/2x -2

Answer:

[tex]y = -\frac{3}{2} x -2[/tex]

Step-by-step explanation:

[tex]y+5=-\frac{3}{2} (x-2)[/tex]

The slope-intercept form is  [tex]y =mx+b[/tex], where [tex]m[/tex]  is the slope and [tex]b[/tex]  is the [tex]y[/tex]-intercept.

[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]

[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]

[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]



NEED ANSWER ASAP PLEASE

Use the graph to answer the questions.

What is the price at which the supply and demand equalize (there will be no extra or shortage of product?)
a. $2
b. $8
c. $4
d. $6


What is the quantity at which the supply and demand of this product will equalize?

1. 400 units
2. 300 units
3. 600 units
4. 200 units

Answers

d. $6
2. 300
adding more cuz character limit

at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 what does mac and cheese cost per pound?

Answers

Answer:

It costs $0.4 per pound of mac and cheese.

Step-by-step explanation:

3/7.50 = 0.4

Hope this helped. :)

Aspherical model of planet Earth has a radius of 3 ft. What is the approximate volume of the model of planet earth? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.​

Answers

Answer:

113.1

Step-by-step explanation:

Like and give 5 star rating


A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?

Answers

Answer:

$557.5

Step-by-step explanation:

783/2

391.5 + 83 (more) =

557.5

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 me help me help me

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \sqrt{8} [/tex]

[tex] \sqrt{2 \times 2 \times 2} [/tex]

[tex]2 \sqrt{2} [/tex]

[tex] {2}^{1} \times{ 2 }^{ \frac{1}{2} } [/tex]

[tex](2 ){}^{1 + \frac{1}{2} } [/tex]

[tex]2 {}^{ \frac{2 + 1}{2} } [/tex]

[tex] {2}^{ \frac{3}{2} } [/tex]

I hope it helps ~

Divide 35 in the ratio 3:2

Answers

i’m pretty sure it’s 18:12

[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]

hopefully it's help

12>x>-7 is the dots on a number line open or closed

Answers

Answer:

its open

Step-by-step explanation:

i just did it

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