Use the method of completing the square to transform the quadratic equation into the equation form (x+p)^2 = q

-4+4x+x^2

Answers

Answer 1

Answer:

To transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:

3+x-3x^2=9

putting like terms together we have:

-3x^2+x=6

dividing through by -3 we get:

x^2-x/3=-2

but

c=(b/2a)^2

c=(-1/6)^2=1/36

thus the expression will be:

x^2-x/3+1/36=-2+1/36

1/36(6x-1)²=-71/36

the answer is:

1/36(6x-1)²=-71/36

Step-by-step explanation:

Answer 2
the answer is -71/36

Related Questions

Help asap please

The area of a rectangle is calculated by multiplying the length by the width. If the area of a
rectangle is 2x² + 7x + 6. what are the factors that represent the length and width? if x = 6 feet,
what are the dimensions of the rectangle?

Answers

Answer

2(6x6) + 7(6) + 6

= 2(36) + 42 + 6

= 72 + 42 + 6

= 120 is the area

So...

l x b = 120

I am sry if I am not able to answer but this is what I understand !

Step-by-step explanation:

2x^2+4x+3x+6
2x(x+2) 3(x+2)
(2x+3) (x+2)
15X8 is the answer of the dimensions of the rectangle

I really need help with this asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Radius=10

Diameter=20

circumference=62.8

Area=314

Answer:

Radius: 10 inches

Diameter: 20 inches

Circumference: 62.8 inches

Area: 314 inches squared

Step-by-step explanation:

Radius:

They have already given you the radius (10), so no formula is needed.

Diameter:

To find the diameter, multiply the radius by 2, so:

2 × 10 = 20

Circumference:

To find the circumference, use this formula:

C=2πr

2 × π (3.14) = 6.28

6.28 * 10 = 62.8

Area:

To find the area, use this formula:

A=πr²

π (3.14) × 100 = 314

--------

Have a good day :)

Can you please help me

Answers

Hello!! Is this the answer you were looking for?

19. When baking a cake, you have a choice of the following pans:
1. a round cake pan that is 2 inches deep and has a 7-inch diameter
2. a 6 inch × 9-inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer.

Note: Write an essay-like answer, and I will give brainliest and rating.

Answers

The answer is

round cake - 82.42 in²

rectangular cake - 114 in²

Round cake:

d = 7 in

r = d/2 = 7 in / 2 = 3.5 in

h = 2 in

The surface are of a cylinder is:

A = 2πr² + 2πrh

The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:

A = 2πr² + 2πrh - πr²

A = πr² + 2πrh

A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2

= 38.46 + 43.96

= 82.42 in²

Rectangular cake:

w = 6 in

l = 9 in

h = 2 in

The surface are of a rectangle is:

A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is:

A = 2wl + 2wh + 2lh - wl

A = wl + 2wh + 2lh

A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2

= 54 + 24 + 36

= 114 in²

Step-by-step explanation: This answer is not mine but JcAlmighty’s so all credits go to them.

114 ....................

plzzzzzzzzzzzzzz help me i suck at this

Answers

Answer:

[tex]9 \times 9 \times 0.25 \times \pi \times 15 = 953.775 = 953.78[/tex]

Answer:

953.78

Step-by-step explanation:

the area of the circle = 4.5*4.5*3.14 = 63.585

the area of the container = 63.585*15 = 953.78

Plz help. Giving brainliest to complete and correct answers. absurd answers will be reported.

Answers

she could try to reduce variable costs

Answer:

Sara could try to lower her expenses. It is clear that she spends to much money and her income is low. I’m summary, Sara needs to stop spending so much money and probably get a better job that pays more to increase her income.

I really hope this helps, good luck! ;)

Find the value of x for the following problems 1-3.

Answers

1) 87°
2) 38°
3) x= 37
Okay soooo
1: 87
2: 38
3: x=37

Juan puts 36,500 milliliters of gasoline in his vehicle. A liter of gasoline costs $1.68.

How much did the gasoline cost?

Answers

The answer would be $61.32 because there are 1,000 milliliters in one liter so 36.5•1.68=$61.32
The answer is 61.32

1. Find the volume of a cone that has a radius of 6cm and a height of height cm. Leave your answer in terms of π (pi).
2. A gift box in the shape of a rectangular prism has a length of 4in, a width of 2in, and a height of 3in. How much would it cost to cover the box if the wrapping paper costs $0.85 per square inch?
3. Find the circumference and area of a circle that has a 5m radius.
4. A tractor tire is 7ft in diameter. How many revolutions will it make traveling 1 mile? (5280 ft = 1 mi)

Answers

Step-by-step explanation:

I is right answer of this question

Answer:

The volume of the cone is 108π(pi). if the height is 9

Step-by-step explanation:

V = πr2h / 3     (formula for finding the volume)

V = π62(9) / 3

V = 324π / 3

V = 108π

You can change the value of height if its different for you

Which word means almost the same as the word urged?

a asked
b mentioned
c persuaded
d suggested

Answers

C because its more pushy than the rest if you get what im saying

Answer:

I would say suggested

Step-by-step explanation:

a school librarian ordered new books for the library. 1/3 are science 2/5 are biography and the rest of the books are fiction. What fraction of the books ordered are fiction?

Answers

Answer:

4/15

Step-by-step explanation:

1/3 + 2/5

Use common denominator of 15

5/15 + 6/15 = 11/15

What fraction of the books ordered are fiction?

1 - 11/15

Use common denominator of 15

15/15 - 11/15 = 4/15

Your correct Answer is 3/15

pls answer quick ill give more points if right.

The problem solving plan identifies steps to organize your information. Which of the following answer choices are included in the steps to organize your information?
A. Organize the problem and find the question.
B. Solve the problem and change your strategy if necessary.
C. Write the facts, organize your thoughts and define your strategy.
D. Organize the steps and underline the question.

Answers

Answer:

I WOULD SAY C! IT MAKES THE MOST SENES

Step-by-step explanation:

   Defining the problem.

   Generating alternatives.

   Evaluating and selecting alternatives.

   Implementing solutions.

C says "Write the facts, organize your thoughts and define your strategy."

C I believe it makes the most sense.

Remake for the last one

Answers

Umm how about yikes

1. Lin is running in an election to be president of the seventh grade. She wants to predict her chances of winning. She has the following ideas for surveying a sample of the students who will be voting:



1.Ask everyone on her basketball team who they are voting for.
2.Ask every third girl waiting in the lunch line who they are voting for.
3.Ask the first 15 students to arrive at school one morning who they are voting for.




•Would the different methods for selecting a sample lead to different conclusions about the population?
•What are the benefits of each method?
•What might each method overlook?
•Which of the methods listed would be the most likely to produce samples that are representative of the population being studied?
•Can you think of a better way to select a sample for this situation?


Ready? Enter your answer here.

Answers

Answer: It would be #3

Step-by-step explanation: Most convenient

A box shaped like a rectangular prism has the dimensions: 4 inches by 2 1/2 inches by 2 inches. The box is filled with smaller cubes the same size.

Select the cube that fills the box completely with no gaps or overlaps.

A. 1/7 inch cubes
B. 1/5 inch cubes
C. 1/4 inch cubes
D. 1/3 inch cubes

Answers

Answer:

the answer would be c. 1/4 inch cubes

Answer:

1/4

Step-by-step explanation:

Please solve; x = −b ± √b²-4ac/2a.

Answers

Answer:

xD

Step-by-step explanation:

Have a great day lol thxs for the points

Answer:

-b ± (-2bc)

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

1. Select all the statements that correctly describe the expression. 5 to the power of 2 x (7z + 4)

Answers

Answer:

First you do what is inside the parentheses. 10 x 5 - 3. 50 - 3 =47. Then you multiply 47 x 5 = 235.

Step-by-step explanation:

The area of the figure is _______________ square feet. Rectangular Pyramid

Answers

4.5 !! I’m pretty sure
54.4 square feet is the surface area of that rectangular prism.

Trust me, this is the answer.
Mark me brainliest if you got it right? And tysm! Have a nice day :DD

Find the surface area of the square pyramid. Enter your answer in the box.

Answers

Answer:

341cm²

Step-by-step explanation:

Hope you will understand and Hopefully it's correct

A flagpole is 10m high. It is held in position by four ropes that are each fixed to the ground, 4m away from the foot of the flagpole, to make a square. The diagram shows the flagpole and two ropes that are opposite each other. Calculate the length of each rope

Answers

Answer:

10.77m

Step-by-step explanation:

What are the answers to this problem?? Other than b c and f??? Please help. No bots are acceptable

Answers

i believe E is also correct
E is the correct answer

which parabola has an axis of symmetry of x=1

Answers

Pretty sure it’s the 3rd one
I think it’s the third one! :)

How to find the all 4 angles of a trapezoid given only the side lengths

Answers

Answer:

Angle Measures on the same side between the bases are supplementary

Supplementary means they add up to 180 degrees

Step-by-step explanation:

Equation : m∠1 + m∠2 = 180°

110° + m∠2 = 180°

-110°               -110°

m∠2 = 70°

Can someone please help me with questions 18 and 19 please. Will give brainilist to best answer.

Answers

18 big cirlce ls 7.85 and tha small cirlce to 18 is 18.85

14. Willa received a package in the mail with the
dimensions shown below.
5.5 in.
3.1 in
12.4 in.
Find the total surface area of the package Willa
received
A. 76.88 in 2
B. 170.5 in.2
C. 211.42 in 2
D. 247.38 in.2

Answers

The answer is D. I hope this helps. I don’t have a long explanation but I hope you enjoy your day!
the answer is D i did the math

1.
The graph below shows the winter precipitation in Arizona from 1995 to 2002. It also shows the survival rates of Arizona pronghorn fawns for the same period.


Which two years had the most precipitation?

• Which two years had the best survival rates for fawns?
• Using your knowledge of biotic and abiotic factors and information from the graph, give two reasons why precipitation and fawn population are linked.
• Predict what would happen to the fawn population if the precipitation rate continues to go downward in 2003.

Answers

Answer:

Step-by-step explanation:

Trevor is painting the front door of his house. The dimensions of the door are 812 feet by 212 feet by 3 inches. If he paints all of the surfaces with 2 coats of paint, how much total area will he paint?

Answers

Answer:

Below!

Step-by-step explanation:

Step 1:

Convert!

812 x 12 = 9744

212 x 12 = 2544

Step 2:

Multiply the new dimensions!

9744 x 2544 x 3

Step 3:

The answer would be:

74366208 in.

BUT!

We're not done yet!

Step 4:

Duplicate it!

REAL ANSWER:

148732416  in. or 12394368 feet!

Ajdbjfrbbdksbwnshhf

Please help me on this question

Answers

I am stuck on same thing as u

Step-by-step explanation:

Function a has a intercept of (0,2) this goes with the table. The parabola has a y intercept of (0,-3) this goes with the parabola. Whenever finding the y intercept look at where the graph hits the y axis. Hope this helps!

2x+3=4
3x+y=6
solve by graphing

Answers

Answer:

See graph

Step-by-step explanation:

Answer:

          3x+y=6      x =2-y/3

Find the median of the following numbers:
8, 21, 10, 6, 7, 20
A.9
B.10
C.12
D.15

Answers

Answer:

9

Step-by-step explanation:

Median means middle number.

6, 7, 8, 10, 20, 21.

The middle is 9.

Answer:

The median is 9

Step-by-step explanation:

The median means to find the number in the middle of all numbers

for example the median of 1,2,3,4,5 is 3 because it is in the middle of all numbers.

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