What is the first step in the solution of 3x2+6x=12 by completing the square?
A: r3+r=2
B: r2+2r=4
C: 3r2+6r+9=12+9
D: 3r2+6r+36=12+36

Answers

Answer 1

Answer:

B: r² + 2r = 4

Explanation:

[tex]\rightarrow \sf 3x^2+6x=12[/tex]

divide both sides by 3

[tex]\rightarrow \sf x^2+2x=4[/tex]    ← This is the result of the first step.

factor out the common term

[tex]\rightarrow \sf x(x+2) = 4[/tex]

set to 0

[tex]\rightarrow \sf x = 4, \ x+2 = 4[/tex]

simplify

[tex]\rightarrow \sf x = 4, \ x= 2[/tex]

Answer 2
3x²+6x=12

Divide all terms by a i.e 3

We get

x²+2x=4

Or

r²+2r=4

Option B is correct


Related Questions

What is the value of 5x+3 when x = 4?
09
O 12
23
O 60

Answers

the answer is 23 because 5 x 4 +3 is 23

Answer:

you do 5 multiplied by 4 and plus 3 I hope this helps

5x^1/2
-----------
3x^1/2 -4
Solve this and ill give brainly

Answers

Answer:

(5√x) / [(3√x)-4]

Step-by-step explanation:

You cannot solve this because 5, 3, and 4 are not factors/multiples of one another

I simplified it though

when the exponent is 1/2, it is the same as taking the square root of something

5x^1/2 is the same as 5√x

3x^1/2 is the same as 3√x

2x(2x-3)-3x(x-2) need help on this

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \:2x(2x - 3) - 3x(x - 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x \sdot2x) - (2x \sdot3) - (3x \sdot x) - (3x \sdot - 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} - 6x- 3 {x}^{2} - ( - 6x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 {x}^{2} - 3 {x}^{2} - 6x + 6x[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} [/tex]

I hope the Step were clear to you ~

Answer:

Step-by-step explanation:

Given: 2x(2x - 3) - 3x(x - 2)

Distributive Property: a(b + c) = ab + ac

1. Distribute

2x(2x) + 2x(-3) + -3x(x) + -3x(-2)

⇒ 4x² - 6x - 3x² + 6x

2. Combine like terms

⇒ 4x² - 3x² - 6x  + 6x

⇒ x²

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x/9+3<4 what is the solution to the ineqaulity

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the solution to the inequality:

[tex]\star~\large\pmb{\cfrac{x}{9}+3 < 4}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

First, subtract 3 from both sides,  then multiply both sides by the denominator.

Step 1.

[tex]\star~\large\pmb{\cfrac{x}{9} < 4-3}[/tex]

[tex]\star~\large\pmb{\cfrac{x}{9} < 1}[/tex]

Step 2.

[tex]\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}[/tex]

Notice that on the left, the 9s cancel, and we're left with x.

Step 3.

[tex]\star~\large\pmb{x < 9}[/tex]

This is the solution.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

x < 9

Step-by-step explanation:

Given:  

[tex]\dfrac{x}{9} + 3 < 4[/tex]

1. Subtract 3 from both sides of the inequality

[tex]\dfrac{x}{9} + 3 - 3 < 4 - 3\\\\\implies\dfrac{x}{9} < 1[/tex]

2. Multiply both sides of the inequality by 9

[tex]9\left(\dfrac{x}{9}\right) < 1(9)\\\\\implies x < 9[/tex]

Learn more about finding the solution of an inequality:

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. Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.​

Answers

Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.

the sum of the exterior angles of a pentagon equals what

Answers

Answer:

360 degrees

Step-by-step explanation:

The sum of the INTERior angles of a pentagon equal

      (n-2)(180) = 540

          each angle is then   540/5 = 108

               each is a supplementary angle to the exterior angle

                       so EACH exterior angle is    180 - 108 = 72

         there are 5 of these    5 * 72 = 360 degrees

360 because it’s always 360 for all polygons

If x = 2.5, 5c = ? (Only I put decimals such as 12.7 as the answer).

Answers

Answer:

12.5

Step-by-step explanation:

x = 2.5, 5x = ?

5(2.5) = 5 x 2.5 = 12.5

solve the quadractic formula 3x+x-3=0

Answers

Answer: x = 0.75

Step-by-step explanation:

3x+x - 3 =0

4x - 3=0

4x = 3

x = 0.75

Answer : x=3/4

Process:
4x-3=0
4x=3
X=3/4

√(2-x)-√(1-4x)=1

solve for x

Answers

Answer:

decimal form; 0.22222...

exact form; 2/9

Step-by-step explanation:

Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown below:

Gymnastic Scores

Score Number of Students
0 1
1 1
2 2
3 6
4 4
5 3
6 2

Based on the table, what is the mean gymnastic score? (1 point)

2.5
3.5
5.2
9.4

Answers

Answer:

B. 3.5

Step-by-step explanation:

I believe this is correct :')

Windborn company has 20,000 shares of cumulative preferred 2% stock, $150 par and 50,000 shares of $25 par common stock. the following amounts were distributed as dividends:

20y1 $120,000
20y2 24,000
20y3 180,000
determine the dividends per share for preferred and common stock for each year. round all answers to two decimal places. if an answer is zero, enter '0'.

preferred stock common stock
(dividends per share) (dividends per share)

20y1
20y2
20y3

Answers

Based on the preferred dividends, the dividends for preferred and common stock in each year are:

Preferred stock dividends:

20y1 - $3.00 per share.20y2 - $1.20 per share.20y3 - $4.80 per share.

Common stock dividends:

20y1 - $1.20 per share.20y2 - $0 per share.20y3 - $1.68 per share.

What are the preferred dividends?

Preferred shares have a specific dividend, and as these are cumulative shares, the dividends that are not paid in one year, will be paid in the next.

Dividends per year:

= 20,000 x 2% x 150

= $60,000

20y1 dividend per share:

= 60,000 / 20,000

= $3.00 per share

20y2 dividend per share:

= 24,000 / 20,000

= $1.20 per share

20y3 dividend per share:

The remaining dividend from 20y2 will have to be paid here:

= (60,000 + (60,000 - 24,000)) / 20,000

= 96,000 / 20,000

= $4.80 per share

What are the common dividends?

Preferred dividends are paid first:

Common dividends are:

= (Amount distributed as dividends - Preferred dividends) / Number of common shares

In 20y1:

= (120,000 - 60,000) / 50,000

= $1.20

In 20y2:

= (45,000 - 45,000) / 50,000

= $0 per share

In 20y3:

= (180,000 - 96,000) / 50,000

= $1.68 per share.

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Please help me with this PROBABILITY question! I'm really stuck and would really appreciate your help.
Please don't post nonsense answers and I'd love it if you could add working out.
Thanks :))

Answers

Answer:  The probability of picking a black bead is 4/7, because there are 4 black beads out of seven.  But if you took the first black bead out of the equation then the probability is now 3/7.

Please help me with this question

Answers

5(1)-3=2

5(2)-3=7

5(3)-3=12

5(4)-3=17

In a word game, 1 letter is worth 1 point. this dot plot shows the scores for 20 common words.what is the median score? pointswhat is the first quartile (q1)?
points
what is the third quartile (q3)?
points
what is the interquartile range (iqr)?

Answers

The median is 6.5.

The first quartile is 5.

The third quartile is 8.

The interquartile range is 3.

What are the statistics of the data plot?

The numbers in the dot plot are: 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 22

Median is the number in the middle of the dataset.

Median = 1/2 ( n + 1)

1/2 x 21 = 11.5th number = (6+ 7) / 2 = 6.5

First quartile = 1/4 x (n + 1)

1/4 x 21 = 5.25th number = 5

Third quartile = 3/4 x (n + 1)

3/4 x 21 = 15.75th number = 8

Interquartile range = 8 - 5 = 3

Please find attached the dot plot. To learn more about interquartile range, please check:  https://brainly.com/question/3966385

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If the diameter of a youth softball is 3.5 inches and the diameter of an adult softball is 3.8 inches, what is the approximate difference in their volumes? use 3.14 for pi. round to the nearest tenth of a cubic inch. recall the formula sphere volume = four-thirds pi r cubed. 6.3 cubic inches 51.1 cubic inches 67.0 cubic inches 409.2 cubic inches

Answers

Answer:

A because the volume of the adult softball is 28.7309120146 inches and the youth softball is 22.4492975038 inches and when u subtract them u get about 6.3 cubic inches :)

Step-by-step explanation:

:)

Answer: IT A!

Step-by-step explanation:

A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent?

Answers

Answer:

x=2

9+2=11

6+2=8

8x11+88

Step-by-step explanation:

We can use radicals if needed, and we need to simply.

Answers

Use Python theorem just like

Answer:

x = √41  which is 6.40 to the nearest hundredth.

Step-by-step explanation:

x^2 = 4^2 + 5^2      (By the Pythagoras theorem)

x^2 = 16 + 25 = 41

x = √41.

Measure the angle shown below.

a protractor showing an angle going through the fifteenth tick mark after two hundred sixty five degrees

272°
275°
279°
280°

Answers

The measure of the angle shown is 280°

Calculating angles

From the question, we are to determine the measure of the angle shown

For the given protractor,

The measure between any two lines is 10°.

Also, there are 10 tick marks between any two lines.

15 tick marks will have a measure of 15°

Then,

The measure of a protractor showing an angle going through the fifteenth tick mark after two hundred sixty five degrees will be

265° + 15° = 280°

Hence, the measure of the angle shown is 280°

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Find the value of x
and/or y in OA.

Can anyone please answer (show solution)​

Answers

Answer:

x = 97

y = 83

Step-by-step explanation:

y = 83 (being the vertically opposite angle )

y + x = 180 (being co-interior angle)

or,

83 + x = 180

or,

x = 180 - 83

.•. x = 97

please help meeee, much appreciated!!!!!!

Answers

Answer:

expected value is $4.5

Step-by-step explanation:

expected value is $4.5

24. Taylor wants to purchase an $80 purse. She has
found three stores that have the purse originally priced
at $80 but are offering 3 different sales this weekend:
1

Store A: off original price
• Store B: 10% off original price
Store C: $15 off original price
Which of the following is a true statement?

Answers

Answer:

we need the full question

If 4 more than twice a number is 8 less than three times the same number, what is the number?

Answers

[tex]\text{Let the number be x.}\\\\\text{According to the condition,}\\\\~~~~~4+2x=3x-8\\\\\implies 3x-2x = 4+8\\\\\implies x = 12\\\\\text{Hence, the number is 12.}[/tex]

which system of equations shown below could be used to solve the following problem?
the sum of m and n is 32, and the value of m is three times the value of n. What is the value of n?

Answers

An equation is formed of two equal expressions. The correct option is C.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given statement in the form of equations can be written as,

1. The sum of m and n is 32 ⇒ m + n = 32

2. The value of m is three times the value of n ⇒ m=3n

Hence, the correct option is C.

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Please help me thanks!!!

Answers

Problem 9

r+h = 9

SA = 2*pi*r^2 + 2*pi*r*h = 54pi

2*pi*r^2 + 2*pi*r*h = 54pi

2pi*r(r + h) = 54pi

r(r+h) = 27

r(9) = 27

9r = 27

r = 27/9

r = 3

r+h = 9

h = 9-r

h = 9-3

h = 6

Answers:  r = 3 and h = 6 are the radius and height respectively.

==========================================================

Problem 10

d = diameter = 68 mm

r = radius = d/2 = 68/2 = 34 mm

SA = surface area of a sphere

SA = 4*pi*r^2

SA = 4*pi*34^2

SA = 4264pi

Answer:  4264pi square mm

==========================================================

Problem 11

Plug V = 3000 into the sphere volume formula and isolate r.

V = (4/3)pi*r^3

3000 = (4/3)pi*r^3

(4/3)pi*r^3 = 3000

4pi*r^3 = 3*3000

4pi*r^3 = 9000

r^3 = 9000/(4pi)

r = cube root(  9000/(4pi)  )

r = ( 9000/(4pi) )^(1/3)

r = 8.947002 approximately

Now we can determine the surface area of this sphere.

SA = 4pi*r^2

SA = 4*pi*( 8.947002 )^2

SA = 1005.923451

Answer:  1005.923451 square feet approximately

==========================================================

Problem 12

We'll follow the same idea as problem 11, but in reverse.

SA = 4*pi*r^2

400pi = 4pi*r^2

r^2 = (400pi)/(4pi)

r^2 = 100

r = sqrt(100)

r = 10

Luckily we get a nice whole number for the radius r. Use it to find the volume.

V = (4/3)*pi*r^3

V = (4/3)*pi*10^3

V = (4000/3)pi

Answer:   (4000/3)pi   cubic inches exactly

==========================================================

Problem 13

The diagram is missing. I don't have enough info to be able to answer.

The probability that a morning bus arrives on time is 65%.
a Draw a tree diagram showing all the possible outcomes for three
consecutive mornings.

Answers

The attached diagram represents the tree diagram for three consecutive mornings.

How to draw the tree diagram?

The probability of arriving on time is given as:

P(On Time) = 65%

Assume that the bus would definitely show up.

Then it means that the event is a binomial event and the possible outcomes are:

On Time and Late

The above means that the number of possible outcomes is 2.

For three consecutive mornings, the total outcome is:

Total = 2³

Evaluate

Total = 8

This means that the tree diagram would have 8 outcomes

Next, we draw the tree diagram (see attachment)

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Choose the best definition for the following phrase: combining like terms (1 point)

Group of answer choices

A letter that holds the place for some unknown value in mathematics

A process where you must look for terms that have identical variable parts and then combine their coefficients

A process where if two things are equal, one can be put in the place of the other and nothing will change

Terms that have identical variable parts

Answers

Answer:

A process where you must look for terms that have identical variable parts and then combine their coefficients

Step-by-step explanation:

Combining like terms is adding or subtracting terms that have the same variable parts.

Answer: A process where you must look for terms that have identical variable parts and then combine their coefficients

Decrease £40 by 25%
(Hegarty maths)

Answers

Answer:

the answer  to your question is 10

Step-by-step explanation:

if you divide 40 by 25% then you will get 10

given set P={3,6,9}.How many subset can be formed​

Answers

Answer:

8

Step-by-step explanation:

[tex]P = \{3,6,9\}\\\\\text{Number of elements,}~ n = 3\\\\\text{Number of subset} = 2^n = 2^3 = 8[/tex]

The count in a bacteria culture was 400 after 10 minutes and 1300 after 40 minutes. Asumming the count grows exponentially

-What was the initial size culture?
-Find the doubling period
-Find the population after 120 minutes
-When will the population reach 10000?

Answers

I’m not sure actually sorry

Tom opens a bank account and makes an initial deposit of 500$. Then banker tells Tom that he is going to receive an annual rate of 6% on his investment. Find the bank balance assuming Tom leaves the account untouched for 15 years. (Will give brainliest to the person who has the answer correct and will shown work.)

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &15 \end{cases} \\\\\\ A=500\left(1+\frac{0.06}{1}\right)^{1\cdot 15}\implies A=500(1.06)^{15}\implies A\approx 1198.28[/tex]

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