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 hot air balloon went from an elevation of 4,940 feet to an elevation of 3,122 feet in 36 minutes. What was its rate of descent?

Answers

5151-3317=1834 feet 38 minutes

help asap pleaseeeee

Answers

Answer:

Its the last one!

Step-by-step explanation:

Remember

closed circle is less than or equal to and greater than or equal to

open circles are the less than and greater than!

and because it is the

less than or equal to because its going up.(left)

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

The answer is P and R

Answer:

Q and R

Step-by-step explanation:

to be similar all sides must have the same scaling factor :

the factor from 2 to 8 is 4.

and the factor from 3 to 12 is also 4.

therefore, these 2 parallelograms are similar.

What is the measure of angle xyz

Answers

Answer:

Step-by-step explanation:

LET:

∠XYW=Y

X,Y and W are the angles of triangle so:

X + Y + W=180

3x+11+Y+5x+1=180

Y=180-12-8x

Y=168-8x

Now ∠XYW and ∠XYZ are the angles of a straight line:

∠XYW+∠XYZ=180

168-8x+12x-20=180

4x+148=180

4x=180-148

4x=32

x=32/4

x=8

Now substitute value of x in Y:

∠(12x-20)=12(8)-20

∠Y=76

Gabriella bought 8 chicken wings for $4. What was the cost of the wings in wings per dollar?

Answers

Answer:

2 wings/dollar

Step-by-step explanation:

The unit cost is $4 / 8 wings, or $0.50/wing.  This is equivalent to 2 wings/dollar.

at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 how much mac and cheese could abdulla buy with $20?

Answers

Answer:

8 pounds

Step-by-step explanation:

"purchased 3 pounds of mac and cheese for $7.50"

You would make this into an equation to figure out the price of one pound of mac and cheese (x):

7.50=3x

x=2.5

Next, you can create an equation to represent the price per pound.

Total price = 2.5(number of pounds)

Now, plug in the information you have:

20 = 2.5x

8=x

8 pounds. Because Abdullah

Fred buys flags from a manufacturer
for $12.50 dollars and then sells
them in his store for a 26% markup.
What price do his customers pay for
a flag?

Answers

Answer:

15.75

Step-by-step explanation:

26%of12.5

=12.5*26/100

=3.25

customers pay for a flag is 3.25+12.5=15.75

Find the perimeter. Simplify the answer.

Answers

Answer:

4u

Step-by-step explanation:

Perimeter of square = u+u+u+u

                                  = 4u

Here is the answer to the question

parallel perpendicular or neither

Answers

Well I guess it should be perpendicular

Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in all?

Answers

Answer:

  $169.33

Step-by-step explanation:

Each of the friends spent ...

  $14.95 +6.99 +2.25 = $24.19

The seven friends together spent ...

  7($24.19) = $169.33

hey guys can u check my answers, if you see one thats not correct pls correct me!

Answers

Answer:

b. 300 c. 18 d. 30

Step-by-step explanation:

b. 400/4=100, 100*3=300

c.0.3*10=3, 3*6=18

d.0.75*10=7.5, 7.5*4=30

Answer:

B C and D are incorrect

Step-by-step explanation:

1/2 • 13 is 6.5

3/4 • 400 = 300

(0.3)•60 = 18

(0.75) • 40 = 30

Brainliest please

help loll i need an 100

Answers

Answer:

-4 (as - and + = -)

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

An item is regularly priced at $55. Miguel bought it at a discount of 65% off the regular price

Answers

Answer:

$35.75 is the discount price.

Step-by-step explanation:

0.65 x 55 = 35.75

Estella signed a one-year lease. She pays $720 per month in rent. If she wants to move out three months early, how much money will she owe when she moves out? I assume $2,160 ??

Answers

Answer:

$2160

Step-by-step explanation:

Since she moved out 3 months early, you would do 720x3, since she pays $720 every month. 3x720 = $2160

f(c)=x²-3x
find f (-8)

Answers

Answer:

88

Step-by-step explanation:

Given function:

f(x) = x² - 3x

Find f(-8):

f(-8) = (-8)² - 3(-8) = 64 + 24 = 88

f(-8)

(-8)²-3(-8)64+2488

f(x)=5x-2 find the slope of f​

Answers

Answer:

Slope = 5

Step-by-step explanation:

Standard slope intercept form: y = mx + b

where m = slope of the function

so m = 5

Hope this helps!

whats the answer (10 points)

Answers

Answer:

x=79 degrees y=22degrees

Step-by-step explanation:

you see it has 2 equal sides, so the triangle is an isosceles triangle. If the triangle is isosceles, then its 2 base angles are equal, that is, x = 79 according to the triangle property, the 3 angles add up to 180 degrees, so you take 180 degrees minus 2 * 79 degrees you get a y angle equal to 22 degrees

A graph is shown below:

Whích of the following inequalities is best represented by this graph? (4 points)

Answers

Answer:

  5x -y ≥ 2

Step-by-step explanation:

The slope of the boundary line is positive, so the x- and y-coefficients will have opposite signs when the equation is written in standard form (eliminates choices A, B).

The graph is shaded for x-values greater than those on the boundary line, so the form of the desired equation will be ...

  ax -by c . . . . . for some positive values of a, b, c

This eliminates choice C and indicates the correct choice is the last one:

  5x -y ≥ 2

Please translate each algebraic expression to English phrase
1. x - 8

2. 13 + 2y

3. 4 ( x+ 5)

4. 7x

5. m + 6

Answers


1. x - 8

2. 13 + 2y

3. 4 ( x+ 5)

4. 7x

5. m + 6
1. Eight less than some number

2. Thirteen plus two times some number (I think)

3. Four times the sum of a number and five

4. Seven times some number or the product of a number and seven (not sure)

5. Six more than a number

How to multiply mixed fractions with same denominators.

Answers

Answer:

  multiply the numerators; express that product over the product of the denominators

Step-by-step explanation:

Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.

  [tex]\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]

The numerator of the product is the product of the numerators.

The denominator of the product is the product of the denominators.

3-14. Do you think that an area model can help rewrite expressions that involve multiplication? The area model below relates the expressions and . With your team, discuss how it can be used to show that these expressions are equivalent. Be prepared to explain your ideas.

Answers

Answer:

Step-by-step explanation:

Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?

Answers

Answer:
42 kilometers

Help me I don’t get this.

Answers

Answer:

i think its 105

Step-by-step explanation:

can someone help me on this and tell me how you did it you will get 30 points

Answers

[tex] \frac{2}{3} \div 3 \frac{1}{3} \\ \frac{2}{3} \times \frac{3}{10} \\ = \frac{2}{10} = \frac{1}{5} [/tex]

- BRAINLIEST answerer

10. Shown here is the graph of which inequality?

Answers

Answer:

B) 3x +2y >= 6

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

18 square feet

Step-by-step explanation:

hope this helps :)

Answer:

18 ft might be the answer

Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.


A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.


B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.

Answers

Using an exponential function, it is found that:

a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]

b) Her predicted profit is of $62,368.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate.

Item a:

$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 30000(1 + 0.05)^t[/tex]

[tex]A(t) = 30000(1.05)^t[/tex]

Item b:

[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]

Her predicted profit is of $62,368.

For more on exponential functions, you can check https://brainly.com/question/25537936

shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake

Answers

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm

Answers

Answer: The radius increases by 0.032 cm/minute.

Step-by-step explanation:

The volume, V, of a sphere is V = (4/3)πr^3.

For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10

V = (4/3)πr^3

V = (4/3)π5^3

V = 524 cc

We add 10 cc to have the balloon hold 544 cc.  We calculate the increase in radius:

534=(4/3)*pi*x^3

We can now calculate the new radius, x.

x = 5.032 cm

The radius increased by 0.032 cm/minute.

Please help ASAP!
Write the ratio 2/7 to 8 as a fraction in simplest form. The ratio in simplest form is _____.

Answers

[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]

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