How would you find the quadratic that goes through the point (4,0), the axis of symmetry is x=7, and it also goes through the point (1,5)?

Answers

Answer 1

9514 1404 393

Answer:

  y = (5/27)(x -7)^2 -5/3

Step-by-step explanation:

Use the given points to find the unknowns in the equation.

If the axis of symmetry is x=7, then the equation can be written in the form ...

  y = a(x -7)^2 +b

Filling in the two point values, we have two equations:

  0 = a(4 -7)^2 +b   ⇒   9a +b = 0

  5 = a(1 -7)^2 +b   ⇒   36a +b = 5

__

Subtracting the first equation from the second, we have ...

  (36a +b) -(9a +b) = (5) -(0)

  27a = 5

  a = 5/27

Substituting that value into the first equation gives ...

  9(5/27) +b = 0

  5/3 +b = 0

  b = -5/3

So, the quadratic can be written in vertex form as ...

  y = (5/27)(x -7)^2 -5/3

How Would You Find The Quadratic That Goes Through The Point (4,0), The Axis Of Symmetry Is X=7, And

Related Questions

Hi can someone pls help me on the last question (#5)

Answers

[tex]solution \: (a) \:: [/tex]

[tex] \frac{1}{7} x = 1[/tex]

[tex]x = 7[/tex]

[tex] solution \: (b) \:: \\ x \times \frac{1}{11} = 1[/tex]

[tex]x = 11[/tex]

[tex]solution \: (c) \:: [/tex]

[tex]1 \div \frac{1}{5} = x[/tex]

[tex]x = 5[/tex]

which is the product of 7/9 and 6 in a fraction number

Answers

Answer:

4 2/3

Step-by-step explanation:

7/9 multiplied by 6/1 = 42/9

Simplify: 14/3

Turn it into a mixed number: 4 2/3

-3.5 , 2 , -3 , -1 , -1.5
Least to greatest

Answers

Answer:

-3.5, -3, -1.5, -1, 2

Step-by-step explanation:

Answer:

-3.5, -3, -1.5, -1, 2

Step-by-step explanation:

negatives to positives

Find the distance between the points (-3, 5) and (7, -1), round the nearest 10th, if nessasary.

Answers

Answer:

The answer is 11.7 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 5) and (7, -1)

The distance between them is

[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]

We have the final answer as

11.7 units to the nearest tenth

Hope this helps you

question 9 i mark as brainliest ​

Answers

Answer:

I think the third one I'm not sure tho

Answer:95,826

Step-by-step explanation:

Please I need help hurry!

Answers

Answer:

Step-by-step explanation:

Team B=2.2*4.8= 10.56

Team C : 10.56 *1.5=15.84

PLLSSSS HEELP


Solve and graph this absolute value equation.

|x – 2| – 8 = 7

Answers

Step-by-step explanation:

y-8=7 y=15

|x-2|=15 has two solutions

17,-13

Answer:

answer

(x_2)- 8=7

2x=8-7

2x=1

that's the answer

-6(1/4x-2/3x+5/6x) simplified .

Answers

Answer:

[tex]-2\frac{-1}{2}[/tex]

Step-by-step explanation:

To distribute the -6, multiply every numerator by -6, this gets you

-6/4+12/3-30/6

To put these together, they all need to have a common denominator. We can make all of the denomiators 12 by multiplying the numerator by whatever we multiply the denominators by to get 12.

-18/12+48/12-60/12

This gets you -30/12

To make this a proper fraction, divide -30 by 12 and put the whole number to the left of the fraction (-2), making a mixed number. The remainder stays a fraction which is -6/12. This reduces down to -1/2. Put -2 and -1/2 together to get [tex]-2\frac{-1}{2}[/tex]

what is 1/11 divided by 4?(FRACTION FORM)

Answers

Answer: 1/44

Step-by-step explanation:

A submarine dives 20 meters each minute for 15 minutes. What is the total change in depth after 15 minutes?

Answers

The correct answer is 300 meters

Answer:

300m

Step-by-step explanation:

20 Times 15=300

What is qualitative data? Give an example.

Answers

Answer:

it is data that you can see or describe such as he is a boy

Step-by-step explanation:

45 2/3 + 30 1/2 + 12 3/4=?​

Answers

88.9166666667.................

A school janitor has my 1/3 of the classroom in five minutes at what rate is he mopping

Answers

Answer:

1/15 per min

Step-by-step explanation:

3 times 5 equals 15 and so 1/15.

Try making a visual picture to see yourself.

6/10 as hundredths in fraction form and decimal form

Answers

Answer:

60/100 and .6

Step-by-step explanation:

The two triangles below are similar. Which pair are corresponding sides?

LN and MN
MN and QR
LM and QR
LM and PQ
hola estas ahi​

Answers

MN and QR

Hope it helps...

How do you do this question?

Answers

Answer:

dy/dx = (2t + 3t²) / (2t)

Step-by-step explanation:

y = t² + t³

dy/dt = 2t + 3t²

x = 5 +t²

dx/dt = 2t

dy/dx = (dy/dt) / (dx/dt)

dy/dx = (2t + 3t²) / (2t)

Chloe bought three pounds of strawberries for $16.80. What is the price, in dollars per ounce of strawberries?

Answers

Answer:

$5.60

Step-by-step explanation:

Each pound of strawberries costs $5.60.

To solve: $16.80 divided by 3

Pls help me I will give out points

Answers

Answer:

A, the first one

Step-by-step explanation:

On the left side, the graph is going closer to 0, that explains the first coordinate 0. On the right side, the graph approaches positive infinity, so that explains the infinity. I hope this helps!

evaluate the​ expression, ​(g◦​f)(3​), given the following functions.
​f(x)=x+2 and ​g(x)=x

Answers

[tex]f(x) = x + 2\\g(x) = x\\(g \circ f) = g(f(x)) = x + 2\\g \circ f)(3) = 3 + 2 = 5[/tex]

How many squares are in the 11 squares

Answers

Answer:

11 Squares are there in 11 squares

Answer:

11

Step-by-step explanation:

because take your question and realize you put, "How many squares are in the 11 squares?"

(Sry if wrong or information misunderstood!)

PLEASE HELP ASAP What part of 6 3/5 is 3 /10 ? PLS HELP ASAP

Answers

Answer:

the 3/5 part of 6 3/5

Step-by-step explanation:

3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.

What transformation occurs to the graph f (x) =2x + 3 if the 3 in the equation is changed to a 5?

Answers

The equation will shift up two points

1/2 + 2 3/4

Help please (◍•ᴗ•◍)❤​

Answers

Answer:

3 1/4

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

im going to change the fractions to decimals

1/2 = 0.5

2 3/4 = 2.75

0.5 + 2.75 = 3.25

now im going to switch it back to fraction

3.25 = 3 1/4

Math 7 A Unit 4 lesson 2 Please help quick
5/10-3/10
1/2+3/4
1/6+3/8
7/8-5/12

Answers

Answer:

2/10, 1 1/4, 13/24, 11/24

Step-by-step explanation:

1. subtract the fractions

2. add the fractions

3. add the fractions

4. add the fractions

Write 0.6 as a percentage.

Answers

Answer:

60%

Step-by-step explanation:

all you need to do is multiply this by 100 (move two decimal places to the right).

0.6--> 60

60 percent

Answer: 60%

Explanation: .6 x 100 = 60

Determine the number of real or non real solutions of the equation listed below
using the discriminant.
x2 + x + 4 = 0

Answers

Answer:

x =(-1+√-15)/2=(-1+i√ 15 )/2= -0.5000+1.9365i

Step-by-step explanation:

I got two answers

B. A certain chocolate bar costs $50.00 per piece. However, if you buy more than
5 pieces they will mark down the price to P48.00 per piece. Use a piecewise
function to represent the cost in terms of the number of chocolate bars bought.​

Answers

Answer:

P(x) = $50.00*x     if    0 ≤ x ≤ 5

P(x) = $48.00*x     if     5 < x

Step-by-step explanation:

A piecewise function is a function that acts differently in different regions of the domain.

In this case we know that:

P = $50.00 per piece if the number of pieces is less or equal than 5.

P = $48.00 per piece if the number of pieces is more than 5.

Then if we define our variable x as the number of pieces of chocolate, we can write the price function as:

P(x) = $50.00*x     if    0 ≤ x ≤ 5

P(x) = $48.00*x     if     5 < x

Please help me answer this :)?

Answers

Can you add an image please?

An account grows at an annual interest rate of r⁡​ ⁣, so it grows by a factor of x=1+r⁡​ ⁣⁣ ​⁡ each year. The function A(x)=800x 4 +350x 3 +500x 2 +600x⁣ ​⁡ gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣ ​⁡. What is the total amount in the account if the interest rate for the account is 3% each year? How much money was put into the account at the beginning?

Answers

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

[tex]A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)[/tex]

[tex]A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609 )+618[/tex]

[tex]A(1.03)=900.407048+382.45445+530.45+618[/tex]

[tex]A(1.03)=2431.311498 [/tex]

[tex]A(1.03)\approx 2431.31 [/tex]

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

[tex]A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)[/tex]

[tex]A(1)=800+350+500+600[/tex]

[tex]A(1)=2250[/tex]

Therefore, 2250 was put into the account at the beginning.

How is the sentence "8 less than y is 2" written as an equation?
A. 8-y = 2
B. y - 2 - 8
C. y - 8 - 2
D. y + 8 - 2

Answers

Answer:

y - 8 = 2

thats how you would write it so idk i guess pick c because its the closest

"8 less than y" ==> y-8

"is 2" ==> =2

therefore y-8=2

Other Questions
What is the solution to this inequality?4x + 2 -14 or 3x 5 > 16 Write the equation in standard form using integers.Y=2x+5 Write the equation for a line which is parallel to the y-axis but contains the point (3,7).Help Ill mark you as the brainliest...there are no other info or answer choices Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.g(x) = 19. Paulas boyfriend moved to her hometown, Oklahoma City, from Houston, Texas. Two weeks after he arrived, he asked her to phone his bank in Houston and inquire about his balance. She did so as a favor to him and found out the balance was more than $40,000. As soon as she told him, he left and drove to Houston to remove it from his account. In Houston, he was arrested by the FBI for fraud and several related crimes. Paula was then charged with the federal crime of making a phone call across state lines for the furtherance of a fraudulent scheme. Her boyfriend only knew the scheme had been successful by Paulas report of the large balance in his old account. What would be a possible defense for Paula? Me llamo Julio y vivo en Estados Unidos. Mis padres _(1) de Mxico pero mifamilia_(2)_ ahora en Arizona. Mi padre _(3) mdico en el hospital; el hospitalno_(4) muy lejos de nuestra casa. l_(5)_ a casa a comer al medioda connosotros. Mi mam no_(6_trabajo ahora pero busca un puesto (a position) conun peridico porque _(7), periodista desde hace (for the past) quince aos. Misabuelos viven en Mxico pero _(8) a visitarnos (to visit us) este verano.Mis hermanos y yo _(9)_ simpticos y muy buenos amigos. Todos nosotros _(10)el pelo (hair) moreno y _(11) altos. Mi hermano Pedro y mi hermana Catalina(12) estudiantes y asisten a clases en la universidad estatal de Arizona. Ellos(13)_ muy nerviosos porque sus exmenes finales _(14) la semana que viene(next week). Luego, ellos _(15) a casa a pasar su descanso de Navidades. Pedroestudia medicina porque_(16)_ muchas ganas de _(17) mdico como nuestropap. Catalina estudia informtica porque ella quiere _(18) programadora; ella(19) mucho inters en todo lo tecnolgico. Yo _(20)_ estudiante del institutopero pienso estudiar biologia en la universidad en dos aos. Tambin pienso_(21) mdico como mi pap.Yo _(22)_ una familia estupenda. Quieres _(23)_ a Arizona un dia a conocerlos(to meet them) South America and Africa are part of the ancient world True or False Money needs to be durable in order to:A. be exchanged for a long time without falling apart.B. be easily carried and transferred over large distances.C. be divided into smaller denominations as needed.D. be consistent with other money in a country. Why did it take the United States until 1917 to enter World War I? Europeans asked the United States to remain neutral. The majority of Americans supported a policy of neutrality. Congress rejected President Wilson's proposal to start fighting. The government did not have enough money to fund mobilization. What is a cell theory The Olympic record for running the 200m dash is 19.3 seconds. What is the average speed for this record? A. 1.04 m/sB. 5.18m/sC.10.0m/sD. 10.4m/s what is the y intercept of the table shown?-11.5-31 Explain the idea of the Electoral College and how it is possible to win the election with less votes than your opponent? find the distance between (-2,6) ,(4,8) URGENT!!!!!! Find the value of q in the following system so that the solution to the system is Suppose that a ball is thrown into the air with an upward velocity of 4 feet persecond from a building that is 20 feet high. The equation that gives the height ofthe ball above the ground at time t, in seconds, is h = 20 + 4t - 16t2.Determine after how many seconds since the ball was released will it hit the ground?seconds In which of the following ways did slavery change in the late 1700s?a) The holding of slaves as property became a symbol of social statusin the North.b) The ideals of the American Revolution prompted some individualsand groups to call for the abolition of slavery.c) The argument that slavery was a positive social institution becamewidely accepted.d) The expansion of slavery into the Northwest Territory became adivisive political issue in the new United States. helpppp!!!!!! i need this answer nowWhy is a solution not a pure substance? A. The solute and solvent cannot be separated.B. It is made up of one substance.C. It is a mixture between a solute and solvent.D. It is made up of two substances that are chemically combined. Find the missing values in the ratio table. Then write the equivalent ratios.Burgers: 3, () , 9Hot Dogs: 5, 10, ()Equivalent ratios are: ()Note, the () is indicating the missing values needing to be filled. Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to its right?