Write y= -1(x-4.5)^2 + 15.25 in standered form

Answers

Answer 1

Given:

The equation is

[tex]y=-1(x-4.5)^2+15.25[/tex]

To find:

The standard form of the given equation.

Solution:

We have,

[tex]y=-1(x-4.5)^2+15.25[/tex]

It is a quadratic equation.

The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.

[tex]y=-(x-4.5)^2+15.25[/tex]

[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex]         [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=-[x^2-9x+20.25]+15.25[/tex]

[tex]y=-x^2+9x-20.25+15.25[/tex]

[tex]y=-x^2+9x-5[/tex]

Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].


Related Questions

Which of the following ratlos is not equivalent to 6:10?
9
15
48
O
80
3
5
o
24
45

Answers

Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

someone buys a pen for 1.09 and paper for 2.50 how much more does the paper cost more then the pen

Answers

Answer:1.41

Step-by-step explanation: subtraction

2.50-1.09= 1.41 i think

2. What is the y-intercept of this graph?
25 points
O A1
OB. 2
O c. 2
O 0.4

Answers

where is the graph though

Someone answer this pls

Answers

pretty sure it’s 3x

Answer:

-3 ? from what I got but you dont have it there

What us the answer?​

Answers

Answer:

The graph so C

Step-by-step explanation:

Cause u can’t get two or more x values for different for one y value( if u plug in 3 and u get 5, u can’t plug in 3 again and get 10)

Alfredo is buying a watch for $200. He will make an initial payment of $50 and
then pay the remaining balance in payments of $15 per week.
Which function can be used to find a, the amount he will still need to pay at the
end of n weeks?

Answers

Answer:

Step-by-step explanation:

There is nothing to choose from.

However, 200-50 down payment will leave 150 left on the watch. 150 divided 15 a month is 10 months.

200=50+15(n)

200=50+15(10)

What should you do during the editing stage of the writing process?

Answers

Check for typos, proper grammar (commas, capitalization, tense) you can also check for words that could be replaced with more advanced synonyms to make your writing more formal.

5x+4y=116 10x+6y=204 solve for x and y

Answers

Answer:

x = 12

y = 14

Step-by-step explanation:

5x + 4y = 116

5 x 12 = 60

4 x 14 = 56

60 + 56 = 116

10x + 6y = 204

10 x 12 = 120

6 x 14 = 84

120 + 84 = 204

-------------------------------------------

Here's how I found x and y:

10x + 6y = 204 can be divided by 2

5x + 3y = 102

Then I took 116 and subtracted 116 given the difference

in y.

116 - 102 = 14

So y =  14 and then I sovled for x:

5x + 56 = 116

116 - 56 = 60

60/5 = 12

10x + 84 = 204

204 - 84 = 120

120/10 = 12

find the length of x and y

Answers

Answer:

x = 10.296

y = 5.831

Step-by-step explanation:

You can use the Pythagorean theorem to solve the triangles shown in various ways.

9²+5²=x²

x = 10.296

5²+3²=y²

y = 5.831

A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal

Answers

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

What is the unit rate?
18 dollars for 4 books
(Round your answer to the nearest hundredth if you need to)

Answers

Answer:

$4.50 per book

Step-by-step explanation:

3 The ratio of boys to girls at the dance was 10 to 15. How many girls were at the dance if there were 60 boys at the dance? Answer​

Answers

Step-by-step explanation:

90 girls were at the dance

Answer:

60:90

Step-by-step explanation:

use cross multiplication :)))

a = 6x-11
g= 36
n = 7x - 27
Solve for x

Answers

Answer:

6x - 11 + 7x - 27 = 36

6x + 7x = 13x

-11 + (-27) = -38

13x - 38 = 36

-38 - 36 = -74

13x/13 = -74/13

x = -74/13

Step-by-step explanation:

can no longer be simplified


The points (-1, 5) and (7, r) lie on a line with slope 5/4
Find the missing coordinate r.

Answers

Answer:

15

Step-by-step explanation:

7-(-1) is 8

8 divided by 4 (x or “run” of slope) is two

Two times five (y/rise of slope) is ten

5 (from original point -1,5) plus 10 is 15

(7,15)

7) let f(x)=2x squared - 5x +9
find a, b, and c
a) 1, 5, and 9
b) 2,- 5, and 9
c) 0,5, and 9
d) none of these answers is correct.

Answers

Answer:

a

Step-by-step explanation:

ITS RIGHT

What the distance between points 3,2 & 9,5??

Answers

Answer:

the difference is 1 and 4

Step-by-step explanation:

hope this helps

hElp Me PLaesssssssssssssssssssssssssssss

Answers

I think it is the first one

help me ahhhhhhhhhhhhhhhhhh

Answers

I got m 7/3 I think that's the answer

In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
songs. By drawing a Venn-diagram, find;
(i) how many people like both the songs?
(ii) How many people like only one song?




Please help me i will mark brainlist ​

Answers

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

Can anybody tell me if the answer I picked is right

Answers

Answer:

the answer is the second answer choice

Step-by-step explanation:

You have to pay close attention to the open and closed dots on beggining and end of your line

i am confused on how to solve this

Answers

So am iiiiiiiiiiiiiiiii

Answer:

a) Both slopes are 4

b) The function g(x) has a greater y-intercept

Step-by-step explanation:

a) To find the slope of the function g(x), simply look at the coefficient (the number before the variable x). In this case, the coefficient is 4, so your slope is 4. This is because the equation is in slope-intercept form: y = mx + b where m is the slope.

To find the slope of function f(x), take two y-coordinates (y-coordinates are found in the column f(x)) and subtract one from another. This is your rise. Then, take two x-coordinates (from column x) and subtract one from another. This is your run. Divide the rise by the run, and you have your slope. In this case, you should get 4/1, or 4.

b) To find the y-intercept for function g(x), take a look at slope-intercept form again: y = mx + b, where b represents the y-intercept. So, the "b" of g(x) = 4x + 3 is 3. Your y-intercept is 3.

To find the y-intercept of function f(x), locate the row where there is a zero under column x. In this case, it's the second row. The number -1 is your y-coordinate when x is zero. Your y-intercept is -1.

-1 is less than 3, so the y-intercept of function g(x) is greater.

Hope this helps!

regularly $59.99, on sale for 40% off. What is the
totall paid, including 7.875% tax?


i just wanna know how to do the work:)

Answers

$59.99 divided by 40% would be $23.99 and if you deduct the said number by $59.99, this would make $36.

$36 + 7.875% tax (36 divided by 7.875 x 100) would be $38.39

Please Help Me! ASAP!
The graph of a system of two linear equations is shown. How many solution does the system of equation have?
A. No Solution
B. Infinitley Many Solutions
C. Two Solutions
D. One Solution​

Answers

Answer:

two solutions

Step-by-step explanation: it cant be no solution because no solution will be a vertical line it can be one solution becuase y=x is a solution and so is y=4

1. Evaluate: 2 + x - 2(8) for x = 9

Answers

Answer:

-5

Step-by-step explanation:

2+9-2(8)

11-16

Answer:

-5

Step-by-step explanation:

2+9-16(got it 2 x 8)

So the answer -5

im sorry if the answer was wrong

A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What equation represents the length of the third side if the second side is length s?
2s - 10
2s + 10
s - 10
s + 10

Answers

Answer:

side            -          equation       -         measurement

1st side       -           2s - 65         -                  55cm

2nd side     -               s               -                  60cm

3rd side      -            s - 10           -                  50cm

Step-by-step explanation:

total = 165

side - s

1st side = 2s - 65

2nd side = s

3rd side = s - 10

1st side + second side + 3rd side = 165

2s - 65 + s + s - 10 = 165

2s + s + s - 65 - 10 = 165

4s - 75 = 165

4s = 165+ 75

4s = 240

s = 60

1st side = 2s - 65

            = 2(60) - 65

            = 120 - 65

            = 55cm

2nd side = s

               = 60cm

3rd side = s - 10

              = 60 - 10

              = 50cm

3rd side is represented by s - 10 as it is less than the second side by 10cm hence taking away the 10 from the side forming the equation s - 10

Answer:

s-10

I took the quiz

I NEED HELP NOW !!!!!!! In order for each sheep to get enough grass to eat, there should be 7 sheep for each acre of land. Which farm has the correct ratio of sheep to acres? Select the best answer from the choices provided. A. The Twelve Oaks farm has 14 sheep and 2 acres of land. B. The Tara farm has 28 sheep and 3 acres of land. C. The Butler farm has 35 sheep and 6 acres of land. D. The Scarlett farm has 21 sheep and 2 acres of land. 10 POINTS

Answers

Answer:

A: The Twelve Oaks farm has 14 sheep and 2 acres of land.

Step-by-step explanation:

For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.

A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.

C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.

D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

Which is the complete factorization of this expression?
-24x + 64

Answers

Answer:

−8(3x − 8). thats the answer, im doing the USA testprep too

Heyoooo :D
I already did the first one, just need help on the last 2. If the first on is wrong, correct it!
:)

Answers

Answer:

D

Step-by-step explanation:

D or the 4th answer

Help needed!!! Timed test will give brainliest and 20 points

Answers

Answer:

The answer would be 2133.3cm squared

help me with this please

Answers

Answer:

non of these answers are correct.

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