What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15

Answers

Answer 1

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b


Related Questions

am i doing this correctly?

Answers

Yes that is how you do it

Can anyone help me with this math equation?

Answers

Answer:

yes I can help you. the answer to the problem is 4/35.

Step-by-step explanation:

1. convert any mixed number into fractions.

your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35

A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62

Answers

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

how many different teams of 11 players can be chosen from a soccer team of 15?

Answers

Answer:

1,365

Step-by-step explanation:

Answer:

There can be 1365 different ways of choosing 11 players from a squad of 15. This means there can be 1365 eleven-member teams formed with 15 players.

please check answer!

Answers

what answer do we need to check?

PLEASE HELP! NO LINKS!!

Answers

Answer:

69 slices

Step-by-step explanation:

3 5/6 = 3 15/18 = 69/18

if each slice is 1/18, then 69 slices

PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z

A. 113.5°
B. 47.5°
C. 46.5°
D. 180°​

Answers

Answer:

C

Step-by-step explanation:

19.9 + 113.6 = 133.5

180-133.5= 46.5

Answer:

[C] 46.5°

Step-by-step explanation:

Given:

In triangle xyz, angle x measures 19.9° and angle

y measures 113.6°. what is the measure of angle z

Note that:

Triangle = 180 degree

Solution:
Since,

x = 19.9 degree

y = 113.6 degree

then we have:

19.9 + 133.6 + z = 180

133.5 + z = 180

Subtract both sides by 133.5

133.5 - 133.5 = 180 - 133.5

x = 46.5 degree

Hence, the measure of angle z is 46.5

Also means that [C] 46.5 is the correct answer.

Kavinsky

Help 6.5.AP-23 There were 675 people in line for a rock concert. Only 486 people got into the concert. Select the percent of people in line that did NOT get into the concert. Select the percent of people in line that did NOT get into the concert. O A. 75% OB. 30% OC. 72% OD. 28%​

Answers

Answer:

D. 28%

Step-by-step explanation:

675 people - 486 people that got in = 189 people left out

189 people out of 675 people = 189 / 675 = 0.28 or 28%

When the function ƒ(x) = 4x−2 is evaluated for x = 3, the output is:
-4
-6
-16
-none

Answers

Answer:

None

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

x = 3

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = 4(3) - 2Multiply:                                                                                                             f(3) = 12 - 2Subtract:                                                                                                            f(3) = 10

calculate the mean of 7,0,11,10

Answers

Answer:

7

Step-by-step explanation:

7+0+11+10=28

28/4=7

Answer: 7

7+0+11+10=28/4=7

Can someone plz help me with this Math problem and plz explain how you got your answers

Answers

21 cause of x and y on its axis to atoms and protons and electrons

2(x - 1) 3(x - 2)
3
4
1
I did not understand ​

Answers

Answer:

3(x-2)

4(x-5)

5(x-6)

1(x-2)

pls help 10 points !! :))

Answers

Answer:

The second one

Step-by-step explanation:

Plz help ASAP I’ll give brainliest!

Answers

Answer:

It's 35 months old and weighs 82 kilograms

The data is given in x, y, so the answer will also go in the order x, y.

Hope this helps! :)

The price of a scooter was Rs. 34000 last year. It has increased by 25% this year. Then the increase price is? Please in step by step answer method. I will mark you branliest.

Answers

Answer:

Rs. 42500

Step-by-step explanation:

100% + 25% = 125% ÷100 = 1.25

34000 x 1.25 = 42500

D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?​

Answers

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Q. You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule
represents your business model?
answer choices
Cy=13x + 7.5
f y=13x - 7.5
By=20.5%
Dy=7.5x + 13

Answers

Answer:

Cy

Step-by-step explanation:

x is the number of hours

The answer to your question is Cy

You spin the spinner shown below once
The spinner has 4 equal sectors colored pink, purple, blue, and green
What is the probability of landing on Blue?

Answers

Answer:

1/4

Step-by-step explanation:

there are 4 colors meaning each one has a 1/4 chance

A diver found a school of fish 85 feet below the surface of the ocean. He found coral 95 feet deeper than the fish. How many feet deep from the surface was the coral?

Answers

Answer:

180 feet

Step-by-step explanation:

85+95=180 because depth + depth.

The total deep 180 feet from the surface was the coral.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.

The total deep from the surface was the coral.

Therefore, it could be;

depth + depth.

85 + 95 = 180

Hence, the total deep 180 feet from the surface was the coral.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

If Sally has 8 apples and she cuts them up and put them in the blender and drinks it
an throws it up and gives it to her friend what is the simplified
proportional divided by 3 if its blue?
___________________________________________________________JK XD
I'm tryna learn 7 Languages would anybody be willing to teach me?
1.Korean
2.Japanese
3.Spanish
4.Portuguese
5. Haitian Kreole
6. French
7. Cantonese ( If possible that's more harder than the math question I gave you)
____________________________________________________
Grades are coming soon i'm stressed what 65 x 89 - 9 + 7?

Answers

Answer:

What a question

Step-by-step explanation:

I speak Thai but doubt I can teach you

Answer:

5783 and 8/3

Step-by-step explanation:

65 x 89 - 9 + 7 then simplify and came up with 5783. and for the main question the answer is 8/3.and I only know little bit about Spanish only sorry here is all that I know about Spanish Uno is one in Spanish Dos is two on Spanish Tres is three in Spanish Cuatro is four in Spanish Cinco is five in Spanish Seis is six in Spanish Siete is seven in Spanish Ocho is eight in Spanish Nueve is nine in Spanish Diez is ten in Spanish and also Hola is hi and hello in Spanish and last but not least Amigos is friends in Spanish. oh in Thai hello is Sawadee.

What is the lateral and surface area? No link or you will be reported ​

Answers

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

Find the perimeter of the figure to the nearest hundredth.​

Answers

Perimeter: 36.84 feet

Let’s start with the easy part...all the rectangle pieces 6 x 3 = 18 feet

We know from subtracting the rectangle length (6ft) from the total length (12 ft) that the diameter of the circle is 6ft.

Circumference = diameter x pi
= 6 x 3.14 = 18.84

We have the circle split into 2 halves, but the circumference remains the same

18 + 18.84 = 36.84

Can someone please help!!! i really need it

Answers

Answer:

Step-by-step explanation:

6. 8

7. 21

8. 18

Plzz I asked this three times! The Functions r and s are defined as follows.
r(x)=-2x+2
s(x)=x^2+2
Find the value of s(r(2)).

Answers

Answer:

s(r(2)) = 6

Step-by-step explanation:

You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).

r(x)= -2x + 2

r(2)= -2(2) + 2

r(2)= -4 +2

r(2)= -2

s(x)=x² + 2

s(r(2)) = (-2)² +2

s(r(2)) = 6

For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.​

Answers

Answer:

20ml : 6ml: 15ml

Step-by-step explanation:

1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.

Which graph represents the function y = 4?

Answers

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

Find the slope of the line passing through the points D(10,8) and E(-4, 4)

Answers

Answer: 2/7

Step-by-step explanation:

Slope form: y2-y1/x2-x1

4-8/-4-10 ==> -4/-14 ==> 2/7

What is the measure, in degrees, of the missing interior angle?

O 70
O 40
O 10
O 170

(pls help)

Answers

Answer:

A) 70

Step-by-step explanation:

180 - 120 = 60

? = x

x + 50 + 60 = 180

x + 110 = 180

x = 70

So we need it to equal 120
120-50 is 70
So your answer is 70
Goodluck and have a good night or morning

The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?

Answers

Answer:

It would help the rabbit by blending in with the environment and avoiding predators.

Step-by-step explanation:

I got the question right ap3x

Answer:

Step-by-step explanation:

It would help the rabbit by blending in with the environment and avoiding predators.

a baseball team played 32 games and lost 8 . Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games. what fraction of the games did the team win? and how many games did Katy play catcher

Answers

Answer:

17

Step-by-step explanation:

what you have to is simple, first do 32-8 which get you 24, thats how many they won. Then do 8x1/4 to get 2, she played 2 games as catcher and lost, then do the same thing with the winning games. 24x5/8 should get you 15. she played 15 games as catcher and won. then do 15+2 to get 17.

hope that helps!

Answer:

1/4 - won

7/8 - katy played catcher

hope this helps you :)

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