convert this quadratic to vertex form f(x)=(x-h)^2+k by completing the square.
3x^2-6x+6=0

Answers

Answer 1

[tex]f(x)=3x^2-6x+6\\\\f(x)=3(x^2-2x)+6\\\\f(x)=3(\underbrace{x^2-2x+1}-1)+6\\\\ f(x)=3[(x-1)^2-1]+6\\\\f(x)=3(x-1)^2-3+6\\\\f(x)=3(x-1)^2+3[/tex]


Related Questions

(12 points) help pls it’s sue today ;-;

Answers

Answer:

$65

Step-by-step explanation:

x is the number of items sold, and y is the profit, so we need to calculate

y = 35x - 250

where x=9

y = 35*9 - 250 = 315 - 250 = 65

So the total profit is 65 dollars

Please help. I just need to get this done lol.

Answers

Answer:

1/16

Step-by-step explanation:

Work out the surface area of this solid prism.
8m
5m
3m
4m

Answers

480 m I am guessing,.....

The expression a2 – 25 is equivalent to which of the following expressions?
A. (x - 5)2
B. (x + 5)
c.
(2 – 5) (2 + 5)
D.
(2x – 5)(2x + 5)

Answers

Answer:

(a+5)(a-5)

Step-by-step explanation:

A cylinder has a volume of 200in^3. Determine the volume of a cone whose radius and height are equal to that of the cylinder

Answers

Answer:

66.67 in^3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone =  1/3(nr^2h)

n = 22/7

r = radius

the volume of a cone is 1/3 that of a cylinder

volume of the cone = 1/3 x (200) = 66.67 in^3

Malik got a 200 cafe gift on January 1. He always orders decaf mochas which cost 5 each. At the end of January, maliks gift card has 125 left. Write an equation with x as your variable.

Answers

Answer:

200 - 5x = 125

Step-by-step explanation:

Let the number of orders made by Malik in the month of January = x

Each order costs = $5

Total cost of decaf mochas in one order = $5x

Malik had cake gift on 1st of January = $200

Amount of money left with Malik at the end of January = $125

Therefore, equation representing this situation will be,

200 - 5x = 125

which expression can he used to find the surface area of the following sqare pyramid​

Answers

Answer:

answer: A

Because when doing area for triangles its

base × height ÷ 2 so for 1 triangle it would be 5 × 4 = 20 then ÷ by 2 so 20 ÷ 2 = 10 Since there are 4 triangles we will have to add 10 4 times and then for the square it's easily just 4 × 4 = 16

so it would come out to 16 + 10 + 10 + 10 + 10 =

asap please help i really need this question answered

Answers

For A) the answer is 0.51. For B) 1445

Solve for X

Could you show me what steps to do that leads to the answer​

Answers

Answer:

x = 76

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

152° is an exterior angle of the triangle , then

x + x = 152

2x = 152 ( divide both sides by 2 )

x = 76

Answer:

x+x=152° (sum of two opposite interior angles is equal to exterior angle)

2x=152°

x=76 °

A number cube has sides labeled 1 to 6. Hannah rolls the number cube 18 times. What is the probability of rolling a number less than 3? ​

Answers

Answer:

1/3

Step-by-step explanation:

hope this helps!

It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?

Answers

Answer:

969 hours

Step-by-step explanation:

57x17=969. It would take them 969 hours.

What is the difference from 6/12 and 9/18

Answers

Answer:

6/12 - 9/18 = 0

Difference usually means subtract.

HELP NEEDED ASAP!! WILL MARK BRAINLIEST!!!! genuine answers only, links = reported

Answers

Answer:

A. 3 and a half hours (3 hours 30 minutes)

B. 72 dollars

Step-by-step explanation:

A. first do 512-92 = 420

420/120 = 3.5 hours

B. 2 hours = 240 dollars

312 - 240 = 72 dollars for the parts

If a right triangle has side lengths of 3 cm and 7 cm, what is the length of the hypotenuse? brainliest will report if answer is not right

Answers

Answer:

Solution given:

length[a]=3cm

base(b)=7cm

hypotenuse [c]=?

we have

by using Pythagoras law

a²+b²=c²

3²+7²=c²

c=√58=7.61m

the length of the hypotenuse is 7.61 or 7.6 or8m.

Let that be x

Use Pythagorean theorem

x²=3²+7²x²=9+49x²=58x=√58x=7.61cm

A sequence is given by the equation an = an-1 + 6. If a1 = 4, what is the
value of the term a3?
a.-2
b.16
o
c.12
a
d.10

Answers

Maybe A try it
Explaining

Which interval could contain a solution to f(x)=0

Answers

The interval which could contain a solution to f(x) = 0 is; Choice C; -1<x<0.

Which interval could contain a solution to f(x)=0?

According to the task content, it follows that the interval which contains a solution to f(x) = 0.

On this note, it follows that f(x) = 0 lies between the points f(x) =-1 and f(x) = 2 which corresponds to Choice C.

Read more on functions;

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A rectangular prism has a surface area of 25 square feet and a similar rectangular prism has a surface area of 49 square feet. If the volume of the smaller prism is 160 cubic feet, what is the volume of the larger prism?

Answers

I couldn’t figure that one out as well but I picked 80 square feet

PLEASE HELP! WILL GIVE BAINLEST!!!!!!!!!!!!! AND 50 POINT

Answers

Answer:

0.555dollar=55.5 cents

hii! please help asap. i’ll give brainliest

Answers

Answer:

Its the last one letter D.

Answer:

It's D.

Step-by-step explanation:

Hope this helped. :D

A 13 foot ladder is placed 5 feet away from a wall. At what height does the top of the ladder touch the wall?
O 12 feet
O 13 feet
O 18 feet
O 25 feet

Answers

18 feet because I had this question

Answer:

12 feet high

Step-by-step explanation:

5^2+12^2=13^2.

Help!! I’m stuck and ty ❤️

Answers

Answer:

c

Step-by-step explanation:

Because, all of them are wrong.

The world's largest pizza is 131 feet in diameter. What is the
area of this gigantic ple?

Answers

Answer:

1,665

Step-by-step explanation:

First find the area of the whole pizza. The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet. I will use 3.14 for PI since the problem doesn't say what value to use. Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.

20-9x+4y+7-x
Need help

Answers

Answer:

[tex]-10x + 4 y + 27[/tex]

Step-by-step explanation:

Answer: -10x+4y+27

Step-by-step explanation: first, combine the like terms

20 + 7= 27

-9x-x=-10x

4y stays the same so, if simplified this equals

-10x+2y+27

Solve for y
4(x + 1) = y - 8

Answers

4(x+1)=y-8
4x+12=y

Distribute the 4 into x and 1 and then add 8 to the other side

Answer:

4x+4 = y-8

4x = y-8-4

4x= y-12

-y = -12 - 4x

y = 12 + 4x

Can someone please help me with this

Answers

Answer:

I believe your answer would be -1

Step-by-step explanation:

The answer should be -1

Ayo can someone help with this I dont get it​

Answers

Answer: B. Yes, Because 3^2 + 4^2 = 5^2

Step-by-step explanation:

ONLY FOR RIGHT TRIANGLES

the biggest side is square root of the sum of the smaller sides squared(a^2 + b^2 = c^2)

So:

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

so

B. Yes, Because 3^2 + 4^2 = 5^2

HELP

WILL GIVE BRAINLIEST!


What is the solution to the equation y/y-4 - 4/y+4 = 32/y^2-16?

Answers

The Answer Is No Solution!

The ages, in years, of children at a birthday party, are 4, 7, 8, 2, 9, 6, 5, 5, 9, 7, 8. What is the median age?

Answers

Answer:

The median age is 7.

Step-by-step explanation:

2, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9,

First you put the numbers in the right numerical order. Then you find the the middle/central number out of all the numbers in the numerical data set in order to find the median.

Hope you found this helpful! :)

Kevin made $187 for 11 hours of work. At the same rate, how much would he make for 7 hours of work?

Answers

Answer:

187/11=17

17*7=119

He would make 119 dollars for 7 hrs

Answer:

he should get about 117

Step-by-step explanation:

187 divided by 11 = 17

17x7=117

Please help!
6. What is the area of the shaded region created by segment BC? work. (Look closely at the picturell The 85° is only labeling the right side of the angle, NOT the whole thing) Show your work​

Answers

Answer:

13.88 square cm

Step-by-step explanation:

had it on my test :)

The area of the shaded region created by segment BC is: 13.88 cm²

What is the area of circle circumscribing a  triangle?

An imaginary tangent line stretching from the triangle's two sides plus a section of the curve that is tangent to one side create this combination. The formula for the radius of a circle enclosing a triangle is

r = ABC / 4A.

Solution:

area of sector ABC = 85/360 × π × (7.3)² cm²

                              = 39.53 cm²

area of triangle ABC = 1/2 × 9 × 5.7 cm²

                                = 25.65 cm²

area of shaded region = area of sectot ABC ₋ area of triangle ABC

                                   = 39.53 ₋ 25.65

                                   = 13.88 cm²

Hence the area of shaded region is 13.88 cm²

Learn more about Circles here-

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