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

Please help me answer this :)?

Answers

Can you add an image please?

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)

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!)

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

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

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

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.

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

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

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!

-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]

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

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:

6/10 as hundredths in fraction form and decimal form

Answers

Answer:

60/100 and .6

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

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]

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

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]

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

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

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

45 2/3 + 30 1/2 + 12 3/4=?​

Answers

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

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

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

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...

-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

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.

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.

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

Answers

Answer: 1/44

Step-by-step explanation:

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