write the following in the form Ax^2+Bx+C=y

Write The Following In The Form Ax^2+Bx+C=y

Answers

Answer 1

Answer:

13). y = x² + 6x + 8

14). y = 2x² + 8x - 12  

Step-by-step explanation:

13). Vertex form of a parabola is given by,

     y = a(x - h)² + k

     Here (h, k) is the vertex of the parabola.

     Equation of a parabola with vertex (-3, -1) will be,

     y = a(x + 3)² - 1

     Since, y-intercept of the parabola is y = 8

     In other words, parabola is passing through (0, 8)

     8 = a(0 + 3)² - 1

     8 = 9a - 1

     9a = 9

     a = 1

    Therefore, equation of the parabola will be,

    y = (x + 3)² - 1

    y = x² + 6x + 9 - 1

    y = x² + 6x + 8

14). Equation of a parabola with vertex (-2, -20)

     y = a(x + 2)² - 20

     Since, y-intercept of the parabola is (0, -12),

    -12 = a(0 + 2)² - 20

    -12 + 20 = 4a

     4a = 8

     a = 2

    Therefore, equation of the parabola will be,

     y = 2(x + 2)² - 20

     y = 2(x² + 4x + 4) - 20

     y = 2x² + 8x + 8 - 20

     y = 2x² + 8x - 12  


Related Questions

Write the opposite of each number. -25 _______ 0 _______

Answers

Answer:

25

0

Step-by-step explanation:

What’s the area? Please help :)

Answers

Answer:

252 sq. in.

Step-by-step explanation:

divide it into sections like this

12*15=180

3*6=18

6*9=54

then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.

Write the mixed number as a percent.
4 7/500

Answers

Answer:

4 7/500 as a percent is 401.4%

The mixed fraction [tex]4\frac{7}{500}[/tex] can be represent as 401%.

What is fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Fraction : 4 7/500

Now, writing the fraction in normal fraction form

= 4 7/500

= 2007/500

Now, to convert into percent

= 2007/ 500 x 100

= 2007/ 5

= 401%

Learn more about fraction here:

https://brainly.com/question/10354322

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Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00

Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.

________ ____ ______

Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?

A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls

Answers

Answer: B  -   5 basketballs and 2 soccer balls

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?

Answers

Answer:

the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line

Answer:

THE LINE WOULD MOVE UP 5 UNITS

Step-by-step explanation:

7-x/3x+12 is a rational expression. The domain of this expression is all real numbers except____?

Answers

FnatmatnFnarnramatmqntntjwtn

-22.8 = 6n helllllpppppp

Answers

Answer:

n = -3.8

Step-by-step explanation:

20) Find the length of a side of a square with a
diagonal length of 100 cm.

Answers

Answer:

about 7.0710678cm

Step-by-step explanation:

it's a square so the sides are equal.

the diagonal is 100cm

This makes a right triangle with two sides

since the sides are equal, they both are equal to the square root of 50, which is half of 100

the square root of 50 is about 7.0710678cm

3.7+3.-1=
help I have a homework and I don't know the answer ​

Answers

Answer:

the solution is 5.7

3.7+3-16.7-15.7

1
A. (f = g)(x) = 2 - 4
.
true or false

Answers

Answer:

=-2

Step-by-step explanation:

x=-(4-2)

Answer:

false

hope this helps

please help!!!!!!
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip Write an equation to show the number of miles Matthew drove ​

Answers

Answer:

(34-4)/2

Step-by-step explanation:

First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D  

What is the answer for 2 x 4 x 5 x 99 ÷ 3 x 56?

Brainliest for the correct answer!

Answers

Answer:

73920

Step-by-step explanation:

pemdas

2*4=8

8*5=40

40*99=3960

3960/3=1320

1320*56=73920

Answer:

73920

Step-by-step explanation:

Consider the diagram and angle measurements shown below.
m<1 = (x +14)
m <3 = (3y + 7)
m <4 = (5y-73)
m<5 = (3x -54)


What is m <2

Answers

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: i did it

24) 30 people are running a 5k. How many different ways can the runners finish in 1st, 2nd, and
3rd place?

Answers

Answer:

90 different ways

Step-by-step explanation:

30 people can finish first, 30 people can finish 2nd, 30 people can finish 3rd. Ends up being 90 different outcomes.

Fraction w/4= 12
What is the value of w

Answers

Answer:

48

Step-by-step explanation:

12*4=w=48

Item Measured Scale Reading (tons) Number of Items on the Scale Weight per Item (tons)
Raul and his friends
1
20
4
cars
7
8
2
baby elephants
ما | ط
001
goats
4
cow NIP
desks
1
32

Answers

Answer:

Plato Answer

Step-by-step explanation:

I'm walking and walking

Answers

Answer:

Chicken feed

Step-by-step explanation:

Chicken feed: .70

Goat feed: .80

Dog feed: .75

Pig feed: .79

Answer:

Goat Feed

Step-by-step explanation:

Chicken- 1.40

Goat- 1.25

Dog- 1.33

Pig- 1.265823

1, 4, 16, 64, ______what follows

Answers

Answer:

[tex]256[/tex]

Step-by-step explanation:

[tex]We\ observe\ that,\\For\ every\ number\ n\ in\ the\ sequence, the\ number\ next\ to\ it\ is\ 4n.\\Hence,\\In\ order\ to\ continue\ the\ sequence:\\1,4,16,64,256[/tex]

Answer:

1, 4, 16, 64, 256

Step-by-step explanation:

The sequence follows the rule: n * 4

1 * 4 = 4

4 * 4 = 16

16 * 4 = 64

Multiply 64 by 4.

64 * 4 = 256

Hope this helps.

A full 335 ml can of Coca-Cola is filtered at a rate
of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm


Answers

9514 1404 393

Answer:

  33.5 minutes

Step-by-step explanation:

There are many ways you can look at this problem. One is to write equations for the amount in each can, and solve for the time that makes those amounts equal. Another is to consider how much time it takes to reduce the volume by half.

Using the first method, we have ...

  335 -5t = 5t

  335 = 10t

  335/10 = 33.5 = t

It takes 33.5 minutes for the cans to have the same amount.

Solve:

7 (x -3)
What is the answer

Answers

Answer:

7x-21

Step-by-step explanation:

7(x-3)
7x -7 x 3
7x - 21

If line a and b are parallel,Which angles are vertical angles ?

Answers

Answer:

d

Step-by-step explanation:

Answer:

C, ∠7  and  ∠3

100% Sure

Write 5.7% as an equivalent decimal.
O
A 5.7
O
B 0.57
O
C 0.057
D 570

Answers

Answer:

the answer is C

Step-by-step explanation:

[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]

C. Move the decimal point two places to the left, and that's your answer.

Which equation describes the function whose y-intercept is 6 and whose
graph has slope 2?
HELPP

Answers

Answer:

y=2x+6

slope intercept form: y=mx+y-intercept

m=slope

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points) Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points) (10 points)

Answers

Answer:

The point (5, -8) is not in the solution area

Step-by-step explanation:

Lamar is considering two loans.


Loan A
Loan B
Principal
$4,500
$4,300
Interest rate
5%
6%
Time in years
3
3

Which loan will have the lowest total payback?

Answers

Step-by-step explanation:

know:

Loan A

Principal

$4500

Interest rate

5%

Time in years

3

If 100% => $4500

5% =>X

X = 5% × $4500 ÷ 100% = $225

Loan A = $4500 + $225 = $4725

Loan B

Principal

$4300

Interest

6%

Time in years

3

If 100% => $4300

6% =>X

X = 6% × $4300 ÷ 100% = $258

Loan B = $4300 + $258 = $4558

Loan B has the lowest total payback.

The Loan B has the lowest total payback than the Loan A.

How to calculate the Payback?

WE can calculate the payback in both loan as;

Loan A;

Principal = $4500

Interest rate = 5%

Time in years = 3

If 100% => $4500

X = 5% × $4500 ÷ 100%

X = $225

Loan A = $4500 + $225 = $4725

Loan B;

Principal = $4300

Interest = 6%

Time in years = 3

If 100% => $4300

X = 6% × $4300 ÷ 100%

X= $258

Loan B = $4300 + $258 = $4558

Hence, the Loan B has the lowest total payback than the Loan A.

Learn more about this concept here;

https://brainly.com/question/13404463

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Please help me now ​

Answers

Answer:

Step-by-step explanation:

C:  Side-Angle-Side

A supervisor records the repair cost for 17 randomly selected VCRs. A sample mean of $68.83 and standard deviation of $12.17 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal.

Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

27

Step-by-step explanation:

im smart

A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?

Answers

Answer:

92, Hope this helps

Step-by-step explanation:

10000-5200= 4800/52 = 92.307 rounded up = 92

Which of the following linear equations passes through points (2,0) and (5,-3)?
y = -x + 2
O y= x-2
y = x + 2
None of these choices are correct.
O y=-x-2

Answers

Hope this might help u

WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation

2) Generate at least two ordered pairs


1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.

2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription

Answers

Answer:

1 is     6x+4y=422

2 is     (12,25)

i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho

Answer:

3fftedvvvte4ffff

Step-by-step explanation:

ggvggrrrvvg

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