The function f(x)f(x) is a quadratic function and the zeros of f(x)f(x) are 11 and 55. The y-intercept of f(x)f(x) is 2020. Write the equation of the quadratic polynomial in standard form.

Answers

Answer 1

Answer: [tex]4x^2 -24x+20[/tex]

Step-by-step explanation:

If p and q are zeroes of f(x), then f(x) = k (x-p)(x-q) , where k is a constant.

Given: The function f(x)f(x) is a quadratic function and the zeros of f(x)f(x) are 1 and 5.

f(x) = k (x-1)(x-5)

y-intercept = Value of function at x=0

So, y-intercept =  k (0-1)(0-5)= 5k

Since,  y-intercept of f(x) = 20

so, 5k = 20

⇒ k= 4

Quadratic polynomial [tex]= 4(x-1)(x-5)[/tex]

[tex]=4(x^2-6x+5)\\\\= 4x^2 -24x+20[/tex]

Hence, the equation of the quadratic polynomial in standard form =[tex]4x^2 -24x+20[/tex]


Related Questions

DESPRATE WILL GIVE BRAINLIST AND THANKS
To which set of numbers does −1.2 belong?


integers

whole numbers

natural numbers

rational numbers

Answers

I believe it belongs to rational numbers.

ASAP!! plzz help! thanks​

Answers

i believe the answer is C. natural numbers are positive while numbers

HELP FAST i have a lot to do and its all due on the 14 so pls help

3(3+4) blank 3³

What is the solution set for 6x−9=15, given the replacement set {0, 1, 2, 3, 4}?

What is the solution set for 6x−2=5x+3, given the replacement set {2, 3, 4, 5}?

What is the solution to this equation?

6+7(b−1)=5+b

Answers

Answer: 1. X=4

2. X=12

3. X=5

4. B=1

Step-by-step explanation:

Which of the following graphs represents a function? If you don’t know then please don’t write “i don’t know” or “I can’t help with that” Just for points.

Answers

Answer:

B. x

Step-by-step explanation:

The answer would be graph x. A function must be that one x value should only have one y value. graph w doesn't work since when you plug in 0, you get two y's. same thing with z. Y doesn't work since at x value of 3, it curves back so x value 2 has 2 y's. X is the only one that each x value has only one y.

Answer:

X

Step-by-step explanation:

For a relationship to be a function, every input has exactly one output, so for every x value there is only one value.

If you look at answer's w and z for x=1 there is two y values, therefore they are not functions, letter Y is tricky. Even though every x value has only one y value, If you were to extend the graph x=0 would have more than one y values.

That leaves X.  If you extend the graph of X every x value will only have one y value so it is a function

Which of the following best describes the slope of the line below?

Answers

Answer:

c.positive

Step-by-step explanation:

Find mBDC. Need help

Answers

Answer:

577

Step-by-step explanation:

love you too and hope you're doing good game too and have fun with the kids too and see how to find them and get a few more of these and some more pictures and I am going through a rough draft and will send it yet again as I am not able as of now but will start on Monday as soon to see what we have not received and we are you interested to know more and we are you interested to see me on my site or on my blog and if I can pay you the amount of the amount I'll send it yet to the other person to check out of my house for the swine flu shot and then I have emailed the doctor and she is not sure what is going to be done with her due diligence and the fact she has a good game in her mood to be able and has to do something like this for a long do it is worth the money for a few years of experience and how to find a job in a business environment where you can be self motivated by your goat and your goat skills are the most essential part in the livestock of your life in a life and life that is a huge success and that is what is a large business to be a great success and a good opportunity for a great company and I will let me in years of the experience of working in a company and how I would like you know to be able help to make this is a large issue and we can make sure we have the correct information to make the necessary adjustments

Imagine your family agreed to give you some pocket money every day for a month! How do you want to get paid? Pick one from the following options and post your choice in the discussion board. Make sure you state why you chose your option.

Option 1: $10.00 every day

Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day.

Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.

Answers

option 2 or three cuz one is too simple

Answer:

Option 1 because it will be easier to keep up with since you'e getting the same amount every day.

Step-by-step explanation:

Find the next three terms of the following arithmetic sequence. -10, -3, 4, 11, (Three missing numbers)

Answers

Answer:

You can find the difference of two numbers easier if you take the absolute value of them (which is canseling out the negative or positive of them, and figuring out how far away from 0 they are) |-10| = 10, |-3| = 3, the difference between 10 and 3 is 7. The only problem that arises is now we are dealing with and negative and a positive, for this one you must see that to get from -3 to zero, you need to add 3, and to get from 0 to 4, you need to add 4, if you add 3, and then 4, you get 7

The difference between 10 and 3 is 7

The difference between -3 and 4 is 7

So naturally, the next number will be 4 + 7 = 11

Hope that helped!

A group of friends is going to a baseball game. A general admission ticket to the game costs $9.00. A ticket for a fan club member costs $6.00. The expression 9x + 6y models the cost for the entire group of friends. Which is the meaning of the term, 9x?

Answers

Answer:

See explanation!

Step-by-step explanation:

The term 9x is comprised of two values: 9 and x. The 9 represents the cost of the general admission tickets. Since the expression is representing the total cost for the group of friends, the number of friends attending must be represented somehow in the equation. Since the $9 is paired with the x, this means that x represents how many of the friends are paying the general admission price. After interpreting both values within the term, the meaning of the term 9x is simply just the total cost of the friends that are paying the general admission price! Hope this helps!

what is 829.085 rounded to the nearest hundredth

Answers

Answer:

829.09

Step-by-step explanation:

Hope this helps :)

help ????!!!! pls!!!

Answers

Answer:

You can use y − y1 = m(x − x1) and get 2-y= 1/6(9-3) so y = 1

Step-by-step explanation:

The trip from Carville to Planesborough takes 4 hours when traveling at a constant speed of 70 miles per hour. 2 1 How long, in hours, does the trip take when traveling at a constant speed of 60 miles per hour?

Answers

Answer:

2.5 mph

Step-by-step explanation:

70 miles per hour :4 hours

35 miles per hour:8 hours

1 mile per hour:16 hours

60 miler per hour

do 16/6

2.5 hours

given h(x) =2x+2, solve for x when h(x) =4​

Answers

Answer:

x = 1

Step-by-step explanation:

h(x) =2x+2    h(x) = 4

4 = 2x + 2

4 - 2 = 2x

2 = 2x

x = 2/2

x = 1

pls help will give brainiest
A boat leaves a dock and travels 5 miles due south, then 12 miles due west. How far is the boat from the dock?

Answers

13. C is too short but D is too long. I don’t think you are supposed to add the numbers together either

The second of two numbers is two more than the first.
The sum is 40. Find the numbers.

Answers

Answer:

19 + 21 = 40.

Step-by-step explanation:

which letter has rotational symmetry?
A. Y
B. X
C. B
D. M

Answers

Answer: X

Step-by-step explanation: IF YOU ROTATE IT IT STAYS THE SAME SHAPE

Answer:

X

Step-by-step explanation:

please help........ ​

Answers

x = √(10²+24²)

= √(100+576)

=√(676)

= 26.

Answer:

26

Step-by-step explanation:

since wz is a tangent to the circle then measure angle wzy equal 90° so you will be using Pythagoras therom then X = (24)^2 + (10)^2 all under a square root as it's a hypotenuse

I need help with homework​

Answers

Answer:

C

Step-by-step explanation:

Point C is on the x-axis.

Answer:

c

Step-by-step explanation:

the x axis is labeled

x axis is always horizontal (think the horizon)

y axis is always vertical

find the length of the missing side. write your answer in simplest radical form!

Answers

Answer:

D

Step-by-step explanation:

10² + 14² = -17.20²

-17.20² = 2sqrt74

Answer:

C 296 ft

Step-by-step explanation:

hypotenuse^2 = side1^2 + side2^2

==> hypotenuse^2 = 10^2 + 14^2

==> hypotenuse^2 = 100 + 196

==> hypotenuse^2 = 296

==> hypotenuse = square root (296)

==> hypotenuse = 17.2046505

The length of the missing side = 296 in radical form

20.Les membres de la famille Veilleur sont en vacances, le premier pour, **
partent de Québec et vont a Montreal (250 km), puis au Parc proina
Sandbanks (385,8 km), en Ontario, ou ils passent les 4 jours sants. Ensuite,
ils quittent le parc pour se rendre aux chunes du Niagara (245 Akm), ou
passent le reste de la journée, le lendemain, la famille prend la roue vers
Pittsburgh (389km) afin de visiter des amis, elle y reste 5 jours en tout
(incluant la journée sur la route).
Pour rentrer à la maison, les Veilleux choisissent un kinéraire plus direct de
1 227 km qu'ils parcourent en 2 jours, en faisant la moitié du trajet chausse
jour. Leur voiture consomme en moyenne 6,7 L d'essence par 100 km, ale
cout moyen de l'essence est de 1,22S le titre. Tout au long du voyage, Charles
Veilleux note plusieurs informations dans son journal de bord,
Aide Charles à compléter son journal.
Journal de bord
Quantité totale d'essence consommée
(arrondie à l'unité pres)
Nombre de jours du voyage:
Distance parcourue pour aller à Pittsburgh:
coût total de l'essence:
Coût moyen de l'essence consommée
par jour (arrondi au centieme pres):
Distance parcourue par jour pour le retour:
Distance totale parcourue durant les vacances:​

Answers

Answer:

Quantité totale d'essence consommée:  167 litres (arrondie à l'unité pres)

Nombre de jours du voyage: 12 jours (je pense! Je ne comprends pas "jours sants" ? Suivants? )

Distance parcourue pour aller à Pittsburgh: 1269.8 km

coût total de l'essence: $ 204.11

Coût moyen de l'essence consommée par jour (arrondi au centieme pres): $17.01

Distance parcourue par jour pour le retour:  613.5 km

Distance totale parcourue durant les vacances:​ 2496.8 km

Step-by-step explanation:

Jour 1 Montreal à Parc Sandbanks

2,3,4,5 Parc Provincal Sandbanks

6,7,8,9,10  Pittsburgh

11,12 Pittsburgh à Quebec

Distance: ajouter les numéros jours par jour.

Essence consommée: 6.7 litres pre 100, donc diviser la distance totale par 100  puis multiplier par litres par km

2496.8/100 = 24.968 × 6.7 = 167.2856  et arrondir le total: 167.3

Coût total de l'essence: Il faut multiplier le total consommée par la coût par litre, $1.22  167.3×1.22 = $204.11

Coût moyen de l'essence consommée par jour:  $204.11 ÷ 12 jours = $17.01/jour

Distance parcourue par jour pour le retour: 1227km/2days = 613.5 km/jour

Distance totale parcourue durant les vacances:​ Ajoutez les distances journalières parcourues à Pittsburgh à la distance de retour  à Quebec.

1269.8 + 1227 = 2469.8 km

I neeeeeed help please

Answers

Answer:

(3x+21)(x-5)

Step-by-step explanation:

To solve this let's create an equation that has intercepts at -7 and 5

To do this we get the following

(x+7)(x-5)

Now we need to make sure that the line passes through (4,-33) To do so we will plug in 4 to see how far off we are

If you plug in 4 into x you should get -11

To make y= -33 we simply need to put a three in the front and then distribute it to the first bracket

So we have

3(x+7)(x-5)

then distribute the 3 to get

(3x+21)(x-5)

I doubled checked this answer on desmos and my math is correct

Use the given information to determine if TU ||QS.
Answer with a simple yes or no.

Answers

Answer:

I would pick no, because when u do the math

(GIVING BRAINLIEST!!)

A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?

A) 1/40 slice
B) 4 slices
C) 20 slices
D) 40 slices

Answers

Answer:

40 slices

Step-by-step explanation:

one eighth times 8 equals 1 pizza. 8 times 5 is 40

Answer:

there is a total of 40 pizza slices in total

I NEED THIS ASAP PLSS

Answers

Answer:

2 1/2

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

Since P is at -4 and you want a number that is 6 1/2 units away from it. You are either adding 6 1/2 to it or subtracting 6 1/2 to that number.

-4 + 6 1/2 = 2 1/2

-4 - 6 1/2 = -10 1/2

Also if you count 6 and 1/2 notches in either directions from -4, you will also get both of those answers.

The multiple choice only gives you the 2 1/2 option so that is the one they are looking for.

on a graph there are two points (0,3) and (8,0) what is the proper equation​

Answers

Answer:

The line equation of the line is:

[tex]y=-\frac{3}{8}x+3[/tex]          

Step-by-step explanation:

Given the two points

(0,3)(8,0)

Finding the slope between (0,3) and (8,0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]

[tex]m=\frac{0-3}{8-0}[/tex]

[tex]m=-\frac{3}{8}[/tex]

Therefore, the slope of the line: m = -3/8

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3/8 and the point (0,3)

[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]

[tex]y-3=-\frac{3}{8}x[/tex]

Add 3 to both sides

[tex]y-3+3=-\frac{3}{8}x+3[/tex]

Simplify

[tex]y=-\frac{3}{8}x+3[/tex]

Therefore, the line equation of the line is:

[tex]y=-\frac{3}{8}x+3[/tex]          

What number is half way between 60 and 110

Answers

Answer:

85

Step-by-step explanation:

85 is half way between 60 and 110.

Half way means the middle point from where both the point are at equal distance.

Given two numbers as follows:

Number1=60

Number2=110

To calculate a half way number between two number as follows:

=(Number1+Number2)/2

=(60+110)/2

=85

To check weater 85 is half way between 60 and 110

subtract 60 from 85 we get 25

subtract 85 from 110 we get 25

Thus both the numbers are  25 units away from 85.

So, 85 is half way between 60 and 110.

Learn more about half way, here:

https://brainly.com/question/31081254

#SPJ3

HELP!!!!!!

i’m uneducated and i don’t know how to do this:(

i’ll give a brainist to that correct response:)

Answers

Answer: Xy=7

Step-by-step explanation: so if xz is the median it hits in the middle of WY and since the legnth of WY is given the length of xy is 7

Find the measurement of the following angle.

Plz I need help

Answers

Answer:

<ABC = 51°

Step-by-step explanation:

Given

<A = 2x -15°

<B = x - 5°

< C = 148°

Now

<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

2x -15° + x - 5° = 148°

3x - 20° = 148°

3x = 148° +20°

3x = 168°

x = 168° / 3

X = 56°

Now for Angle B

= 56° - 5°

= 51°

Hope it helps :)

What does the formula of an ionic compound tell you?

Answers

The overall ionic formula for a compound must be electrically neutral, meaning it has no charge. When writing the formula for the ionic compound, the cation comes first, followed by the anion, both with numeric subscripts to indicate the number of atoms of each.

How many inches are in a hundred and forty seven miles?

Answers

Answer:

There are 9,313,920 inches in 147 miles

Step-by-step explanation:

Answer:imagine googling the answer U-U couldnt be me, i dont even have an answer

Step-by-step explanation:

im dum :)

( im just gonna give myself a 5 star rating cuz im cool like that >:P

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