Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.


Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = x3 − x2 − 4x + 4
g(x) = x3 + 2x2 − 9x − 18
g(x) = x3 − 3x2 − 4x + 12
g(x) = x3 + 2x2 − 25x − 50
g(x) = 2x3 + 14x2 − 2x − 14


Create a graph of the polynomial function you selected from Question 2.


Part B
The second part of the new coaster is a parabola.
Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.


The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.


Create a graph of the polynomial function you created in Question 4.


Part C
Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.


Part D
Create an ad campaign to promote Ray and Kelsey's roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster.

Only option d is the correct answer as x = 3 is a solution to the equation.

To solve this problem, we have to substitute the value of x into the equation and see if it is equal to zero.

a)

[tex]3x+7 = x - 8[/tex]

when x = -6

substitute the value of x

[tex]3x+ 7 = x - 8\\x = -6\\3x-x = -8-7\\2x = -15\\2(-6) = -15\\-12 \neq -15[/tex]

equation (a) is wrong.

b)

[tex]-2x-8=-4x-1\\x = 3[/tex]

collect like terms and substitute for x

[tex]-2x-8=-4x-1\\x = 3\\-2x+4x= -1+8\\2x = 7\\2(3) = 7\\6\neq 7[/tex]

equation(b) is wrong

c)

[tex]-5x+7 = 2x - 14\\x = -8\\[/tex]

collect like terms and substitute for x

[tex]-5x+7 = 2x - 14\\x = -8\\7+ 14 = 2x + 5x\\21 = 7x\\21 = 7(-8)\\21 \neq -42[/tex]

d)

[tex]-(x-1)=4x-5-3x\\x = 3\\-(x-1) = 4x -5 -3x\\-x+1 = x- 5\\2x = 6\\2(3) = 6\\6 = 6\\[/tex]

From the above calculation, only option d is the correct answer as x = 3 is a solution to the equation.

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Answer:

u r m o m

Step-by-step explanation:

Answer:

29/s

Step-by-step explanation:

Answer:

n = -6

Step-by-step explanation:

2 ( n + 5 ) = -2

First, solve the brackets.

2n + 10 = -2

Now take 10 to the right side.

2n + 10 -10 = -2 - 10

2n = -12

Then divide both sides by 2.

[tex]\frac{2n}{2} =\frac{-12}{2}[/tex]

And now you'll the value of n.

n = ( -6 )

Answer:

Answer: 16-2i

Step-by-step explanation:

The sampling shows that the conclusion by the teacher is done as D. The teacher conducted an observational study by comparing the performance on the test.

Sampling simply means a process on statistical analysis that's used to take observations about a population.

In this case, the teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not complete their review worksheets.

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Answer: 40/11 hours

Step-by-step explanation:

Since y represents the amount of time the car goes at 35 miles per hour, and it is given that the car spends no time at 35 miles per hour, y = 0.

We can plug y into the equation given to find x, which would be the time travelled at 55 miles per hour, or the total time in this case.

55x + 35*0 = 200

55x = 200

x = 200/55

x = 40/11 hours

Answer:

56 meters

Step-by-step explanation:

5+5+5+11+7+16+7 = 56

Answer:

Should be 56 m

Step-by-step explanation:

5+7+16+7+11+5+5 = 56 m

Answer:

A) [tex]\frac{1}{4}[/tex]

B)[tex]\frac{2}{4}[/tex]

C)[tex]\frac{2}{4}[/tex]

Step-by-step explanation

sample space (S) = {1,2,3,4}

n(S) = 4

multiples of three (a) = {3}

n(a) = 1

probability of a = [tex]\frac{n(a)}{n(S)}[/tex]

                         = [tex]\frac{1}{3}[/tex]

multiples of two(b) = {2,4}

n(b) = 2

probability of b = [tex]\frac{n(b)}{n(S)}[/tex]

                         = [tex]\frac{2}{4}[/tex]

factors of three(c) = {1,3}

n(c) = 2

probability of c = [tex]\frac{n(c)}{n(S)}[/tex]

                         = [tex]\frac{2}{4}[/tex]

65 x²-26 x function represents the total number of seats. A function is an association between a bunch of information that each has one outcome.

A function is a relationship between a group of inputs that each have one output. A function. It is a connection between information in which each information is associated with only one outcome.

The function is found by the multiplication of the number of rows and the number of seats per row.

[tex]\rm f(x) \times g(x)\\\\ 13x \times (5x-2) \\\\ 65 x^2-26x[/tex]

Hence 65 x²-26 x function represents the total number of seats.

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Answer:

d

Step-by-step explanation:

edge 2022

Answer:

-14

Step-by-step explanation:

(6 - 7) + ( - 11 + -2)

= -1 + -13

= -14

Answer:  - 14

Step-by-step explanation: 6 - 7 = -1       -11+ -2 = - 13        -13 + - 1 = -14

Hope that helps! :)

Step-by-step explanation:

follow the picture uploaded. everythinh has been solves systematically

Answer:

x = 9

PQ = 19

QR = 19

RP = 10

Step-by-step explanation:

if 3x - 8 = 2x+1

then,

3x -2x = 1+8

x = 9

for pq,

2x+1

2x + 1 = 2*9+1

=>18 +1 = 19

for qr,

3x-8 = 3*9-8

=>27-8 =19

for rp,

x+1=9+1

=> 10

Answer:

97

Step-by-step explanation:

(a - 48) + a = a + 49

2a - 48 = a + 49

a = 97

We can do this because the angles of a triangle all add up to 180 and 2 angles of a line add up to 180.

The time taken for the golf ball to reach the ground is 1 s.

The path of motion of the golf ball can be described as parabolic because it is projectile.

When the golf ball reaches the ground, the final velocity will be zero.

Velocity of the golf ball is change in height with time.

v = dh/dt

h(t) = -16t² + 32t  + 128

dh/dt = -32t + 32

0 = -32t + 32

32t = 32

t = 1 s

Thus, the time taken for the golf ball to reach the ground is 1 s.

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Answer:

6 seconds, the other dude is a dimwit

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=-13

Answer:

16

Step-by-step explanation:

https://brainly.com/question/1701683

url to the help thingy

Answer:

So a line perpendicular to this equation would be any line with a slope of -3/4 (the negative reciprocal of the slope)

Step-by-step explanation:

First convert the original equation into y = form to find the slope.

Subtract 4x on both sides leaving -3y = -27 - 4x

This leaves y = (-27 - 4x)/(-3)

You can divide both -27 and -4x by -3 individually to get 9 and 4/3 respectively

This makes your equation y = 9 + (4/3)x

Whenever an equation is in y = mx + b form, the 'm' represents the slope. In this case the slope is 4/3.

For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean of the probability distribution is 3.

For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean, standard deviation, skewness, and kurtosis are all features of probability distributions, which are characterized by the mean, standard deviation, skewness, and kurtosis.

The mean of the probability distribution is determined by the given formula,

[tex]\mu = \sum (x\times P(x))[/tex]

Now, substituting the value to know the probability distribution, we will get,

[tex]\mu = (1 \times 0.1)+(2 \times 0.2)+(3 \times 0.4)+(4 \times 0.2)+(5 \times 0.1)\\\\\mu = 0.1+0.4+1.2+0.8+0.5 = 3[/tex]

Hence, the mean of the probability distribution is 3.

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Answer:

its 3

Step-by-step explanation:

got it right on edge 2022

Answer:

Step-by-step explanation:

pugs;

pros= Pugs are small in size and thus, making them suitable for small-sized rooms or apartments. Pugs have a friendly and lapdog temperament, get along well with most people and pets. Pugs are low to medium-shed breeds, which implies you are less likely going to be troubled with shedding.

cons= Pugs are prone to various throats, ears, eyes, folds, facial infections, and breathing troubles; hence they will require regular health check-ups. Pug dogs are not highly trainable – it will be difficult to train a pug to do not-so-easy activities even if you hire a professional.

poodle;

pros=They don't shed. Poodles have long hair, instead of fur so they do not shed. ...

They're easy to train. The poodle's intelligence and eagerness to please make them easy to train. ...

They're good with children or other dogs. ...

They make great service dogs or therapy dogs.

cons= Their hair requires some serious maintenance. Because poodles can grow their hair long, they require a lot more maintenance than breeds with short, flat coats. ...

They require a lot of mental stimulation. ...

They can be emotionally sensitive.

Answer: brainliest please!

Pros of a Pug

! Pugs are small in size and thus, making adaptable small-sized rooms or apartments.

! Pugs have a friendly temperament and get along well with other people/pets.

! Pugs are low to medium-shed breeds which mean you are less likely going to be troubled with shedding.

! Can take simple commands without hiring a professional trainer/ train on your own
Cons of  a Pug

! Gains weight easily and lack of daily exercises like a walk or run can easily have them gain weight and affect their health.
! Pug dogs are not highly trainable ~ can do simple tricks like:
sit, stand, run, fetch but not complicated ones
! Health risks ~ Pugs are prone to throat, ears, eyes, facial infections, and breathing troubles :; hence they will require regular health check-ups.

````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
Pros of Poodle
! They don’t shed. Poodles have long hair, instead of fur so they do not shed.
! super easy to train compared to pugs and easily learn hard tricks and so.
! They're good with children or other dogs
! They make great service dogs or therapy dogs
Cons of Poodle
! Their hair requires some serious maintenance
! They can be emotionally sensitive
! IMPORTANT - They require a lot of mental stimulation

These pups have trained to live a luxurious lifestyle they’re rarely content to live as lap dogs. They will use their intelligence for less desired behaviors like digging, chewing, or excessive barking. If your lifestyle doesn’t allow you to provide ample mental stimulation for your dog, it might be worth considering another breed.

Answer:

4.5732 %

Step-by-step explanation:

Answer:

Decimal: 0.16

Percent: 16%

Step-by-step explanation:

There is 16 blocks shaded out of 100 blocks.

16/100=

0.16

16%

Answer:

2.5 is greater than 2.

They are not equal

2.5 is in between 2 and 3

Since 3 is greater than 2, and 2.5 is in between them, 2.5 is greater than 2.

Answer:

choose the last answer D I did this quiz and i am foolproof it is correct

Step-by-step explanation:

Answer:

he can play 5 more games.

Step-by-step explanation:

he has $20 and he uses $5 for shoes so he has $15 left. each game costs $3 so 3x5 = 15

Answer:

x/5

Step-by-step explanation:

Both minus signs will cancel out with each other leaving with answer x/5

Answer:

6x^3-33x^2+45x-6 (third answer)

Step-by-step explanation:

(3x-6)(2x^2-7x+1)

=3x(2x^2-7x+1)-6(2x^2-7x+1)

=6x^3-21x^2+3x-12x^2+42-6

=6x^3-21x^2-12x^2+3x+42x-6

=6x^3-33x^2+45x-6