determine the vertex of y=4(x-25)2+ 91

Answers

Answer 1

Answer:

             (25, 91)

Step-by-step explanation:

y = a(x - h)² + k        ← vertex form of  the equation of the parabola with vertex (h, k)

So y = 4(x - 25)² + 91  means:

a = 4

x - 25 = x - h    ⇒  - 25 = - h  ⇒  h = 25

+ 91 = + k     ⇒    k = 91

Therefore vertex is:

                               (25, 91)


Related Questions

How can we create equations in two variables to represent relationships between quantities

Answers

Answer:

Create equations in two or more variables to represent relationships between quantities (linear functions) Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Step-by-step explanation:

Two friends argue over who brushes their teeth more often. Who is more likely to brush both morning and evening? Assume all events are independent. Multiple choice answers in picture below

Answers

Answer:

d

Step-by-step explanation:

I will give Brainlyest if you are first

Answers

Answer:  -4/7

brainiest pls

Find the solution to the system of equations.
3x + 2y - 4z= -7
x - 4y + 3z = 10
2x + 2y - 3z= -5

Answers

Answer: 3x + 2y - 4z= -7= -5/8

x - 4y + 3z = 10= 11

2x + 2y - 3z= -5= -2

Step-by-step explanation:

the answer is -5/8

i just took the quiz.

Line segment NY has endpoints N(-11, 5) and Y(5, -7). What is the equation of the perpendicular bisector of NY?

Answers

Answer:

9/6

Step-by-step explanation:

I think this is what you're looking for...

Answer:1.

5

x

2

y

=

4

; (−1, 1)

2.

3

x

4

y

=

10

; (2, −1)

3.

3

x

+

y

=

6

; (4, 6)

4.

8

x

y

=

24

; (−2, −3)

5.

x

+

y

=

7

; (5, −2)

6.

9

x

3

y

=

6

; (0, −2)

7.

1

2

x

+

1

3

y

=

1

6

; (1, −2)

8.

3

4

x

1

2

y

=

1

; (2, 1)

9.

4

x

3

y

=

1

;

(

1

2

,

1

3

)

10.

10

x

+

2

y

=

9

5

;

(

1

5

,

1

10

)

11.

y

=

1

3

x

+

3

; (6, 3)

12.

y

=

4

x

+

1

; (−2, 9)

13.

y

=

2

3

x

3

; (0, −3)

14.

y

=

5

8

x

+

1

; (8, −5)

15.

y

=

1

2

x

+

3

4

;

(

1

2

,

1

)

16.

y

=

1

3

x

1

2

;

(

1

2

,

2

3

)

17.

y

=

2

; (−3, 2)

18.

y

=

4

; (4, −4)

19.

x

=

3

; (3, −3)

20.

x

=

0

; (1, 0)

Find the ordered pair solutions given the set of x-values.

21.

y

=

2

x

+

4

; {−2, 0, 2}

22.

y

=

1

2

x

3

; {−4, 0, 4}

23.

y

=

3

4

x

+

1

2

; {−2, 0, 2}

24.

y

=

3

x

+

1

; {−1/2, 0, 1/2}

25.

y

=

4

; {−3, 0, 3}

26.

y

=

1

2

x

+

3

4

; {−1/4, 0, 1/4}

27.

2

x

3

y

=

1

; {0, 1, 2}

28.

3

x

5

y

=

15

; {−5, 0, 5}

29.

x

+

y

=

3

; {−5, −1, 0}

30.

1

2

x

1

3

y

=

4

; {−4, −2, 0}

31.

3

5

x

+

1

10

y

=

2

; {−15, −10, −5}

32.

x

y

=

0

; {10, 20, 30}

Find the ordered pair solutions, given the set of y-values.

33.

y

=

1

2

x

1

; {−5, 0, 5}

34.

y

=

3

4

x

+

2

; {0, 2, 4}

35.

3

x

2

y

=

6

; {−3, −1, 0}

36.

x

+

3

y

=

4

; {−4, −2, 0}

37.

1

3

x

1

2

y

=

4

; {−1, 0, 1}

38.

3

5

x

+

1

10

y

=

2

; {−20, −10, −5}

Part B: Graphing Lines

Given the set of x-values {−2, −1, 0, 1, 2}, find the corresponding y-values and graph them.

39.

y

=

x

+

1

40.

y

=

x

+

1

41.

y

=

2

x

1

42.

y

=

3

x

+

2

43.

y

=

5

x

10

44.

5

x

+

y

=

15

45.

3

x

y

=

9

46.

6

x

3

y

=

9

47.

y

=

5

48.

y

=

3

Find at least five ordered pair solutions and graph.

49.

y

=

2

x

1

50.

y

=

5

x

+

3

51.

y

=

4

x

+

2

52.

y

=

10

x

20

53.

y

=

1

2

x

+

2

54.

y

=

1

3

x

1

55.

y

=

2

3

x

6

56.

y

=

2

3

x

+

2

57.

y

=

x

58.

y

=

x

59.

2

x

+

5

y

=

15

60.

x

+

5

y

=

5

61.

6

x

y

=

2

62.

4

x

+

y

=

12

63.

x

+

5

y

=

0

64.

x

+

2

y

=

0

65.

1

10

x

y

=

3

66.

3

2

x

+

5

y

=

30

Part C: Horizontal and Vertical Lines

Find at least five ordered pair solutions and graph them.

67.

y

=

4

68.

y

=

10

69.

x

=

4

70.

x

=

1

71.

y

=

0

72.

x

=

0

73.

y

=

3

4

74.

x

=

5

4

75. Graph the lines

y

=

4

and

x

=

2

on the same set of axes. Where do they intersect?

76. Graph the lines

y

=

5

and

x

=

5

on the same set of axes. Where do they intersect?

77. What is the equation that describes the x-axis?

78. What is the equation that describes the y-axis?

Part D: Mixed Practice

Graph by plotting points.

79.

y

=

3

5

x

+

6

80.

y

=

3

5

x

3

81.

y

=

3

82.

x

=

5

83.

3

x

2

y

=

6

84.

2

x

+

3

y

=

12

Step-by-step explanation:


Solve the system of equations below.
2x - y = 26
3x - 2y = 42

Here are the answer choices

A. (8,1)
B. (3,2)
C. (10,-6)

Answers

It’s would have to be b.

is 15(x+10) largger than 360

Answers

Answer:

No it's not

Step-by-step explanation:

15x+15 times 10

15x+150

i need big help thanks

Answers

Answer:

The circle was translated down 5 units and dilated by a factor of ⅓.

Find the product using distributive property 563x67

Answers

(563)(60+7)
(60×563)+(7×563)=37,721

The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x

Answers

Answer:C

Step-by-step explanation:

The derivation of the quadratic function is true

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

ax² + bx + c = 0

Step 1 :

ax² + bx + c = 0

Step 2 : Subtracting c on both sides , we get

ax² + bx = -c

Step 3 : Divide by x on both sides , we get

ax + b = -c/x

Hence , the steps are true in solving the quadratic equation

To learn more about quadratic equations click :

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What are the steps on how to copy an angle? (Geometry)

Answers

Step-by-step explanation:

Make a point P that will be the vertex of the new angle.

From P, draw a ray PQ. ...

Place the compasses on point A, set to any convenient width.

Draw an arc across both sides of the angle, creating the points J and K as shown.

Hope this helps :)

When = 3, what will the value for y be for the equation - 4x + 5y = 18?

Answers

If x equals 3 then y must equal 1.2

Answer: y=6

-4(3)+5y=18

-12+5y=18

add 12 to both sides

-12+5y+12=18+12

5y=18+12

5y=30

divide both sides by 5

5y÷5=30÷5

y=30÷5

y=6

I hope this is good enough:

a computer backs up 324 megabytes of data in 5 minutes. WRITE AN EQUATION that represents the number of megabytes, m, that can be backed up in (t) minutes.

Answers

Answer:

64.8 x t = m

Step-by-step explanation:

324 / 5 = 64.8       :64.8 megabytes are produced every 1 minute

64.8 x t = m  

The answer is 64.8xt

please answer correctly

-6 - 2 (4x - 7) = -32

Answers

Answer:

x=5

Step-by-step explanation:

-6 - 2(4x - 7) = -32

Distribute -2

-6 - 8x +14 = 32

Combine Like Terms

-8x + 8 = -32

Subtract 8 from both sides

-8x = -40

Divide each side by -8

- x - = +

So the final answer would be:

x = 5

Which one of these relationships is different than the other three? Explain how you know.


Answers

Answer:

I does not say.

Step-by-step explanation:

Q: What did the athlete order when he needed a huge helping
of mashed potatoes?
letters: p,r,p,o,r,n,t,o,i,a,o

Answers

Answer:

The answer is proportional

Step-by-step explanation:

We have Given the following letters; p, p, r, o, m, n, t, o, i. The athlete will order A portion of mashed potatoes.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

We have Given the following letters;

p, p, r, o, m, n, t, o, i

We have to unscramble the given letters and make the word that is used by the athlete in order when he needed a huge helping of mashed potatoes.

The word which is formed with the help of the given letters used by the athlete is a portion.

Hence, the athlete will order A portion of mashed potatoes.

Learn more about a number pattern:

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If fabric costs $4 a foot, which graph below shows this relationship?
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

Graph A

Step-by-step explanation:

Answer:

A.)

Step-by-step explanation:

since here using for example just one foot is (1,4) add another (2,8) since you are doubleing the price. and the rest are just going in weird derections.

CAN SOMEONE PLS HELP 6TH GRADE MATH ILL GIVE BRAINLIEST

Answers

Answer:

14/100 and 7/50

Step-by-step explanation:

Basically you convert the decimal into a fraction, 14 percent is the same as 14/100 and if you simplify that then you get 7/50

Juan made $253 for 11 hours of work. At the same rate, how many hours would he have to work to make $391?

Answers

Answer:

17 hours

Step-by-step explanation:

givens:

-he made $253 for 11 hours of work

-how many hours of work for $391

set a proportion

253       391

----- =   ----

11          h                          h=hours

cross multiply

253h=391 times 11

253h=4301

divide 253 in both sides

4301/253

17 hours!

can anyone help me i need my grade up bye tommorow in math pls help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

yeah I will help I got you my guy or girl

Answer:

Yea sure i'll help but um what u need help with

Step-by-step explanation:

A student's incorrect attempt to simplify the exponential expression is shown
mn" = (mn)?
What is his mistake?

Answers

Answer:

it is the second one I just had this question to lol.

f-4=6f + 26 what is f

Answers

Answer:

the answer is f=-6

Answer:

f = - 6  

Step-by-step explanation:

Step 1:

f - 4 = 6f + 26          Equation

Step 2:

- 4 = 5f + 26        Subtract f on both sides

Step 3:

- 30 = 5f       Subtract 26 on both sides

Step 4:

f = - 30 ÷ 5       Divide

Answer:

f = - 6      

Hope This Helps :)

Which expressions are equivalent to (5.2) -3?


DRAG AND DROP THE EQUIVALENT EXPRESSIONS INTO THE BOX

Answers

Answer:

Hello, please include the image of what your question refers to so I can help you because I don't see any equivalent expressions listed


Annie bought a gym membership that cost $50 when she signed up and
then she paid $10 each time she visited. If "V" represents the number of
times Annie went to the gym before she canceled her membership, which
of the following expressions best shows the total amount the gym
membership cost her?*
10V - 50
50v + 10
50 - 10v
V + 50 + 10
50 +10v
50 + 10/v

Answers

Answer:

50+10v should be the right answer.

Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
$20.25
$25.50
$38.25
$45.75

Answers

6(4.25) + 3(6.75) = 45.75

She spent $45.75 in total.
Noa spent $45.75 in total

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which point is a solution to the linear inequality y < Negative one-halfx + 2?

(2, 3)
(2, 1)
(3, –2)
(–1, 3)
.

Answers

Answer:

C 3,-2

Step-by-step explanation:

Edg2020

Answer: C (3, -2)

Step-by-step explanation:

Which number line correctly shows 1.5 + 2.5?

Answers

The first one is right.

Answer:

is A  

Step-by-step explanation:

The answer choice A is correct because it correctly shows both numbers.All of the other answer choices didnt correctly show the answer choices,and they only showed part of the correct answers.So therfore your correct answer is A(hope this helps you if it doesnt tell me)

Joe Howard earns an annual gross pay of $955,520 as a
professional baseball player. He is married with 4 dependents.
How much is withheld from his monthly paycheck for state
income tax?

Answers

Answer: 3924.25

Step-by-step explanation:

0.0150x1000=15

0.0300x2000=60

0.0450x2000=90

0.0500x938520=46926

Add the numbers

47091÷12=3924.25

Additional work:

955520-12000=943520-1000=942520-2000=940520-2000=938520

His monthly paycheck for state income tax is $19,906.65.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Annual Gross pay = 955520

He is married with 4 dependents.

So, every month he earn

= 955520/12

= 79,626.6

and, Also have 4 dependents

= 79,626.6 /4

= 19,906.65

Hence,  his monthly paycheck for state income tax is $19,906.65.

Learn more about unitary method here:

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Cary is having a party and can only afford to spend no more than $40 on food. She wants to order at least 3 pizzas which cost $6 a pie, and at least 2 orders of wings that cost $8 per order. Select all the inequalities she would have to graph to determine how many pizzas and wings she could order. Let x stand for the number of pizzas and y stand for the number of wings.
y ≥ 2
x ≥ 3
3 x + 8 y ≤ 40
6 x + 8 y ≤ 40
x ≤ 3
y ≤ 2
((You can select more than one))

Answers

Answer:

A. B. and D.

Step-by-step explanation:

If y=15 when x=5, find y when x=7, given that y varies directly with x.

Answers

Answer:

when x = 7, y = 21

Step-by-step explanation:

This is about direct variation. If y varies directly with x, then there is a constant  factor of variation, k. The constant of variation can be found by ʸ⁄ₓ

k = ʸ⁄ₓ

k = ¹⁵⁄₅ = 3

Now that we have found k, we simply multiply x by it to find y (this is because y is directly proportional to x). We plug in our x = 7 to find y at this point.

y = 3x

y = 3(7)

y = 21

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