Last year, the Galaxy Fair Amusement Park installed a family roller coaster they named The Twist. This coaster was designed to accommodate riders from age 4 to adult and features a tall climb hill and several banking turns. Overall, the park has been disappointed in the reception of The Twist, and very few families are riding the coaster this season. After some research, they discovered that park guests think the climb hill is too tall and fast for younger riders. Galaxy Fair Amusement Park has asked a roller coaster design firm to help them redesign The Twist during the coming off season. The quadratic function that represents the current climb hill is () = −0.102 + 3.6 − 2.4 and the quadratic function that represents the proposed redesign of the climb hill is () = −0.032 + 1.62 − 6.87. In these functions, the value of x represents the time, in seconds, since the roller coaster train cars have left the station, and the output variable is the height of the roller coaster track, in feet, above the ground. 1. Rewrite both () and () from standard form into vertex form. Explain your process. HINT: Each function has a common factor. Start by dividing it out. 2. State the vertex of each function. What does each vertex represent in context of The Twist? 3. Compare the a-value of () to the a-value of the parent quadratic function. What effect does this value have on a parabola? 4. Sketch both of the functions () and () on a single xy-plane. Describe the steps you took to create your sketch. 5. Use the vertex forms of () and () and the sketch you created in question 4 to describe the track changes that occur when the function that represents the climb hill is altered from () to (). Do you think these changes will help younger riders better enjoy The Twist? Explain.

Answers

Answer 1

Omg no lol a las autoridades del estado y a la prensa local el pasado domingo por el grupo a las autoridades del departamento del interior del estado en el estado del país en la capital mexicana y que se encuentra a un lado del país y a las autoridades del estado a las que no se ha podido hacer el

Answer 2

Answer:

can you add a picture or summerize this

Step-by-step explanation:

Related Questions

How do I write a percent as a fraction in simplest form? Please explain step by step to get marked

Answers

Step-by-step explanation:

Divide the percentage by 100. E.g 74%=64/100

Then simplify the newly made fraction,

Find the common factors,

E.g 64/100

Both can be divided by 2

32\50

Repeat simplifying step...

16\25

Till there are no more common factors

and that's the final answer...

Hope you understand, if not leave a comment and I'm ready to help, please mark BRAINLIEST.

the square root of a negative number is known as an _______ number

Answers

Positive number is a square root

20.99 for a 42 lb-bag of dog food (im pretty sure your supposed to divide the last number to the first number example: 18.5÷11.99)

Answers

Answer:

18.5÷11.99 is correct the answer is most likly option B

Please Help! I will give you a lot of points and the brainiest!

A married man filing separably with a taxable income of $130,000. Compute the tax owned (look at chart)

--PLEASE show work

Answers

First, find the tax rate for a person whose taxable income is $130,000. By looking at the table, you can see the tax rate is 33%. To find the total tax, multiply 33% by $130,000.

[tex]0.33 \times 130000 = 42900[/tex]

Thus, the tax this person has to pay is $42,900.

Describe the range of values for the correlation coefficient.

Answers

Answer:

The range of values for the correlation coefficient is -1 to 1 inclusive

Step-by-step explanation:

The area of a square equals the square of a length of the side of the square. The perimeter equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65 while the difference in their areas is 33. Find the sum of their perimeters.

The sum of the perimeters is [x]

Answers

Answer:Each side of x would be 7 and each side of y would be 4.

Step-by-step explanation:

Has a slope of 4 and passes through (-2, 4)

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

m = slope = 4

substitute the point (-2, 4) as (x, y)

4 = 4(-2) + b

4 = -8 + b

12 = b

Hope this helps! Pls give brainliest!

The equation of line is y= 2x+ 8.

what is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Slope= 2

and, Passes through (-2, 4)

So, using the slope- intercept form is

y= mx+ b

4 = 2(-2)+ b

4 = -4 + b

b=8

And, the equation of line is

y= mx+ b

y= 2x + 8

Hence, the equation of line is y= 2x+ 8.

Learn more about slope here:

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Plz help me fast urgent thank you :) 20 points

Answers

Answer:

Step-by-step explanation:

2 times 7 is 14 highest dollar per hour rate

Answer:

Point C

Step-by-step explanation:

In order to determine the price point that will provide the most revenue, you could multiply the price per taco by its corresponding quantity demanded:

A) $3.00 × 2 tacos demanded = $6

B) $2.50 × 4 tacos demanded = $10

C) $2.00 × 7 tacos demanded = $14

D) $1.50 × 8 tacos demanded = $12

E) $1.00 × 12 tacos demanded = $12

Of all the given values, it turns out that at Point C, where price per taco is $2, and the quantity demanded for that price is 7, provides the most return for Rocco's.

Therefore, the price point that providees the most return is $2.

There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft

Answers

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

Six more than a number is 17

Answers

The unknown number given from the expression Six more than a number is 17 is 11

How to solve linear equation?

let

The unknown number = x

x + 6 = 17

subtract 6 from both sides

x = 17 - 6

x = 11

check:

x + 6 = 17

11 + 6 = 17

Learn more about equation:

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What number is 7 times as much
as 9?

Answers

Answer:

Step-by-step explanation:

9•7=63

PLEASE HELP ASAP I WILL GIVE BRAINLIEST AND 100pts!!!!!!!!!!!!!!!!!!!!!!!!!!

he following histogram shows the number of items sold at a grocery store at various prices:

Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.

Which of the following data sets is represented in the histogram?

{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
{2, 4, 0, 1}
{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}
{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}

Answers

Answer:

will this help?

Answer:

Step-by-step explanation:

Zero or undefined algebraic fractions

Answers

Answer:

Step-by-step explanation:a fraction is said to be undefined or have no meaning when the denominator is 0 .solytion determine whwn the denominator equals 0 set the denominator is zero 0 and solve

Bài 1. Tính

a) 3x(2x – 5)

b) (x+1)(x + 4)

c) (7 – x)( x + 7)

d) ( + 2)2

e) (3 – 2x)2

f) (x – 2)(x2 + 2x + 4)

Bài 2. Phân tích các đa thức sau thành nhân tử:

a) 2−19

b) 2−2+ 2 - 100

c) xz + yz - 5(x + y)

d) 2+3++3

Bài 3. Tìm x biết:

a) 4x2 - 12x = 0

b) x2 – 5x = 0

c) x(2x – 7) + 4x – 14 = 0

Answers

F F F F F F F F F F F F F

Step-by-step explanation:F f

The difference between a number and −22 is equal to the number times 11.

Answers

Answer:

The equation looks like this x-(-22)=11x

The answer for the equation is x=11/5

Step-by-step explanation:

Difference between a number (x) and -22

Difference means subtract so x subtracted by -22

x-(-22)

Is equal to: which means you put a =

the number times 11

number is x so x times 11 is 11x

The equation looks like this:

x-(-22)=11x

simplify

x+22=11x

Move x to the other side:

22=10x

Divide 10 on both sides:

x=22/10

Simplify

x=11/5

Hope this helps!

Answer:-11/5

Go Step-by-step-

The difference... -

between a number and 22.... n-22

equal to number times 11...

n-22=11n

subtract n

-22=10n

x=-11/5

I need help with this problem

Answers

2 x 2 x 3 x 3

This is really easy to search up btw

Answer:

2x2x3x3 = 36

2^2*3^2 = 36

Distance between the lines 3x +4y =9 and 6x + 8y =15 is

Answers

ANSWER:

hope it helps you

can you BRAINLEST me

Answer:

0.3 units

Step-by-step explanation:

Given lines in standard form:

ax + by = c3x +4y =9 and 6x + 8y =15

We can see they have same slopes:

m = -3/4 and m = -6/8 = -3/4

The lines after simplification of the second one:

3x + 4y = 9 3x + 4y = 7.5

Since the lines are parallel, use the distance formula:

[tex]d= |c_1-c_2|/\sqrt{a^2+b^2}[/tex]

Substitute the values and find d:

[tex]d = |9-7.5|/\sqrt{3^2+4^2} = |1.5|/\sqrt{25} =1.5/5=0.3[/tex]

Show your work!!
Solve for missing angle

Answers

A triangle equal 180 degrees.
So, you do 80 + 35 + x = 180
115 + x = 180
180-115= 65
the answer is 65 degrees

Pls help and answer the question in the photo

Answers

Answer:

Cam

Step-by-step explanation:

Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.

Hope this helps!

Plz help me fast urgent thank you :) 20 points

Answers

Answer:

I believe it is A. Cooperative Federalism

Step-by-step explanation:

The other ones don't seem applicable to the diagram

Answer:

number 3 dual federalism

16. What is the total number of different eight-letter arrangements that can be formed
using the letters in the word “SAVANNAH"?

Answers

The answer is 64 because u have to times 8 (number of letter arrangements) by 8 (number of letters in the word)

Help!! Will give brainliest

Answers

Answer:

Last option

Step-by-step explanation:

[tex]-2(z + 3) - z = x - 4(z + 2)[/tex]

[tex]x = -2(z + 3) - z + 4(z + 2)[/tex]

[tex]x = -2z - 6 - z + 4z + 8[/tex]

[tex]x = z + 2[/tex]

Please answer this math riddle for me ASAP!!! please
I am a four-digit number. My first number has no use because the number would be the same without it. My second and third numbers are mirror images and my fourth number is half of my second number.

Answers

i think maybe 0693 this is just a guess though

Answer:

0884

Step-by-step explanation:

marked at a regular price of $20. What is the percent decrease in the price
A pair of sunglasses is on sale for $17. Last week, the sunglasses were
of the
sunglasses?

Answers

Answer:

15%

Step-by-step explanation:

20-17 = 3

What percent is 3 of 20?

X/100 = 3/20 (cross multiply)

(3*100) / 20 = 15%

What is the value of W?

Answers

951 4 1404 393

Answer:

w = 17

Step-by-step explanation:

Altitude SU of isosceles triangle RST bisects base RT. This means ...

UR = UT

5w = w+68

4w = 68 . . . . . subtract w

w = 17 . . . . . . divide by 4

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

What is 317.466 ounces or 19.8 pounds

1kg in household measurement is equal to 35.274 ounces.

So, 35.274*9= 317.466 ounces

317.466/16= 19.8 pounds

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

Answers

-12 I hope this help

Answer:

18 °F

Step-by-step explanation:

Simply multiply 3 and 6

One hour is 3 °F

Two hours is 6 °F

Three hours is 9 °F

Four hours is 12 °F

Five hours is 15 °F

Six hours is 18°F

SOMEBODY PLEASE HELP ME!!!!!!!
Solve each system of equations
-3x + 3y =4
-x + y =3

Answers

The 2 equations have no solution. If both are true, then

-3x + 3y = 4

-x + y = 4/3

Thus, 3 = 4/3, which is obviously wrong. Pls mark me as brainliest!

Please he.l I got 10 min

Answers

Answer:

Step-by-step explanation:

the line pass through the point (2.52) and (14.78)

So k= 78-52 =26 =

4-2 =2

Yes ahh I see so u have to, and then u solve for x while substituting

Can someone explain this to me on how you do this by step from step?

Answers

Answer:

5% of $5.00

[tex] \frac{5}{100} \times 5.00[/tex]

[tex] = \frac{1}{4} [/tex]

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