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.
Answer:
can you add a picture or summerize this
Step-by-step explanation:
Có bao nhieu cách đổi một tờ tiền mệnh giá 200.000VNĐ thành các tờ tiền mệnh giá 50.000VNĐ,20.000VNĐ,10.000VNĐ
Answer:
madc'dsv wr;lja''vr3'fbfsh'tht'rth
Step-by-step explanation:
use the given zero to find all the zeros of the function.
g(x)= 3x^3+11x^2+11x-5
zero: -2+i
Answer:
11x + 5
Step-by-step explanation:
PLZ HELP. SEE PICTURE FOR DETAILS ON THE PROBLEM
Answer:
[tex] \frac{1}{3} x + \frac{1}{2} [/tex]
This is the answer after simplifying
Cross multiply to determine whether the fractions are equivalent.
?
4/8=2/4
Answer:
16 = 16
Step-by-step explanation:
Cross multiplying is when you multiply the numerator and denominator of two fractions.
So, it would be 4 × 4 = 8 × 2 or 16 = 16. This is essentially proving they are equal to one another.
Hope this helps.
w x and y are three integers w is 2 less than x y is 2 more than x prove that wy+ 4 =x^2
w + 2 = x
x + 2 = y
Cross multiply
y(w+2) = x(x+2)
wy + 2y = x^2 + 2x
make x the subject of the equation
x = y - 2
substitute this in place of (x) in 2x
wy + 2y = x^2 + 2(y-2)
wy + 2y = x^2 + 2y - 4
wy + 2y - 2y + 4 = x^2
wy + 4 = x^2
2
73. A firm's profits equal $100 if
A. its total revenue is $100.
B. the sum of its total revenue and its total cost is $100.
C. the difference between its total revenue and its total cost is $100.
D. its total cost is $100.
Answer:
What is C. the difference between its total revenue and its total cost is $100.
Step-by-step explanation:
Revenue is the total amount of income generated by the sale of goods or services related to the company's primary operations. ... Profit is the amount of income that remains after accounting for all expenses, debts, additional income streams, and operating costs. Revenue-Sales= PROFIT
Please allow me to know if I have helped you by clicking thank you, rating or brainly.
Miss Hawaii
How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST
A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and 13 cards in each suit (Ace thru 10, Jack, Queen, and King; the last three are considered face cards). A card is drawn at random from a standard 52-card deck. What is the probability that the card is not an Ace
Answer:
12/13
Step-by-step explanation:
P(card is not an Ace) =
(# of ways to not pick an ace) / (# of ways to pick a card from the deck) =
(52 - 4)/(52) =
48/52 =
12/13
7x3 how much???????????????????????????????????????
Answer: 21 is the answer
7.
Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
A. y – 10 = –2(x + 9)
B. y – 9 = –2(x – 10)
C. y – 9 = –2(x + 10)
D. y + 9 = –2(x – 10)
Answer:
D. y + 9 = –2(x – 10)
Step-by-step explanation:
GradPoint answer
I also got the answer correct on the quiz.
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
Step-by-step explanation:
the perimeter = 2 ×15 + (π×d)
= 30 + (3.14 ×10)
= 30 + 31.4
= 61.4
Which translation will change figure ABCD to figure A'B'C'D'?
Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 3, point B prime is at the ordered pair negative 1, 1, point C prime is at the ordered pair negative 5, 0, and point D prime is at the ordered pair negative 5, 2.
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
Answer:
A
Step-by-step explanation: Hope it HELP
From 2 Points:
(1,5) & (-2,3)
The formula to find the slope between these two points is
(1-5)/(-2-3)
(1--2)/(5-3)
(5-3)/(1--2)
How many years will it take an investment of
$3,000 to double itself when interest is
compounded monthly at 8%? Round your answer to
the nearest year.
Answer:
The nearest cent is going to be %1.00 So it’s B girla
Step-by-step explanation: i think it is
!!!25 Points HELP ME PLS ASAP
Answer:
$4.03
Step-by-step explanation:
because 15% of 3.50 is 0.525
take 0.525 and round it up (0.53)
3.50 + 0.53 = $4.03
Answer:
$4.03
Step-by-step explanation:
there are two ways to work this problem:
a) find out what 15% of 3.50 and add it to 3.50; requires two steps
b) multiply 3.50 and 1.15 which will give you the answer in one step
Solutions:
a) 3.5 × .15 = 0.5250 which is 0.53 rounded to the nearest penny
now add 3.50 and 0.53 to get 4.03
b) multiply 3.50 and 1.15 to get 4.025 and round to 4.03
Line with a slope of -1/4 and containing. (4,-3)
Answer:
y = -1/4x - 2
Step-by-step explanation:
y = -1/4x + b
-3 = -1/4(4) + b
-3 = -1 + b
-2 = b
Two movies, an action movie and a drama, were released on the same day. The producers of the action movie claimed that their movie would be better received by audiences than the drama. To test the producers' claim, CinemaScore randomly selected 100 people and showed them both movies. Then the viewers were asked whether they liked or disliked each movie. The results are shown in the table.
Answer:
C is the correct answer.
If you need an explanation tell me.
More people like the action movies.
What is comparison of two numbers?
Comparison of two numbers, means to examine the differences between numbers, quantities or values to decide if it is greater than, smaller than or equal to another quantity.
According to the given question
We have a data in which
Number of people who liked action movie = 78
Number of people who liked action movie = 60
Number of people who disliked the action movie = 22
And, number of people who disliked the drama movie = 40
From the given data we conclude, that action movie is liked by more people as compared to drama movie because 78 > 60.
Hence, the action movie is better received by the audience than the drama.
Learn more about comparison of two numbers here:
https://brainly.com/question/5220791
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Which 2 of the following statements are TRUE about predicting WHAT HAPPENS AT 6 HOURS of babysitting? Select the TWO statements that are accurate.
A.
At 6 hours, the total cost for babysitting will be $60.
B.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RISE/RUN to move to the point at hour 6.
C.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RUN/RISE to move to the point at hour 6.
D.
At 6 hours, the total cost for babysitting will be $70.
Answer:
c and d
Step-by-step explanation:
i took the test those are the correct answers
f(x)=[tex]x^{2}[/tex]-6x+9
Answer:
x equals three by multiplicity two
Step-by-step explanation:
that's the correct answer hope it's help.
Anyone know thisss
its math
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is :
[tex]y - 2 = - 3(x - 2)[/tex]if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?
Answer:
224.25
Step-by-step explanation:
13x15x1.15
A baseball game has
Answer:
ummm whats the chioces
Step-by-step explanation:
3 with an exponent -5
Answer:The answer would be 1/243
———————————————
In decimal form is would be: 0.00411522 . . .
Answer: 1/243
Step-by-step explanation:
3^-5= 1/(3^5) = 1/ (3*3*3*3*3) = 1/243
Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...
causation
interpolation
extrapolation
correlation
Answer:
Step-by-step explanation:
D
Drag the numbers to order them from least to greatest.
0.7
-4.5
3.0
-0.5
2.3
Answer:
- 4.5, - 0.5, 0.7, 2.3, 3.0
At a diving competition, Allison scored 78.5 on her first dive. Hannah's score on her first dive was 74.65. How many more points did Allison score on her first dive than Hannah? SHOW YOUR WORK.
A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. a red 3
Answer:
1/13
Step-by-step explanation:
Total number of cards = 52
no.of sample space n(s) = 26
no.of favourable cases n(E) = 2
probability of getting red 3 p(E)= n(E) / n(s)
or, 2 /26
or, 1/13
What do I put in the box?? Do I skip count?
Answer:
skip count by 2 on was and skip count by 6 on the butter
Step-by-step explanation: 2x5=10 6x5=30
Question Find the slope of the line. (-1,3) (3,3)