Solve the following equation using the completing the square method:
x2+8x=3

Answers

Answer 1

Answer:

x= plus or minus square root of 19 -4

Step-by-step explanation:

x^2+8x ___=3

take half of your b term (8) and then multiply by two and add or subtract it to both sides

x^2+8x+16=3+16

then combine like terms

x^2+8x+16=19

then factor your quadratic equation

(x+4)^2=19

now solve for x

take the square root of (x+4)^2 to get rid of the ^2

you then also have to square the 19 because what you do to one side you have to do to the other

(x+4)= square root of 19

subtract 4 from both sides

x= plus or minus square root of 19 -4

Answer 2

Answer:

Step-by-step explanation:

Divide the coefficient of x by 2

8/2 = 4. Now find the square of 4 = 4² = 16

Add 16 to both sides of the equation

x² + 8x + 16 = 3  + 16

x² + 2* x * 4 + 4² = 19

{Compare with a² + 2ab + b² = (a + b)² }

(x + 4)² = 19

Both sides take square root,

[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]

x + 4 = ± 4.36

x + 4 = 4.36   ; x +  4 = -4.36

x = 4.36 -4     ;    x  = -4.36 - 4

x = 0.36         ; x = - 8.36


Related Questions

How many boxes of that particular tennis shoe did Alan’s athletic store have at the end of the day ?

Answers

Answer:

75 should be the answer

Step-by-step explanation:

if you take 100 plus that 50 then divide the 150 in half theres 75

Adrian said that g(x) = |x + 4| is translated up 4 units from the parent function f(x) = |x|. Do you agree or disagree? Why?​

Answers

Answer:

Below.

Step-by-step explanation:

Disagree.

The + 4 translates the parent function 4 units to the left ( not up).

what is 6 ( 4 - x) + 2 =
3

Answers

Answer:

x= 23/6

x=3.83

x= 3 5/6

all of those are the answers and are equal

hope this helped

can I plz be brainiest

Find the value of the expression if x = 2.1, z = -4.2 and b = -3.

|2x−z|+6b

Answers

Answer:

[tex]{ \tt{ |2x - z| + 6b}} \\ \\ \dashrightarrow \: { \tt{ |2(2.1) - ( - 4.2)| + 6( - 3) }} \\ \\ \dashrightarrow \: { \tt{ |8.4| - 18 }} \\ \\ { \boxed{ \boxed{ \tt{ \dashrightarrow \: \: - 9.6 \: \: }}}}[/tex]

Verify the geometrical representation ofI) (a+b+c)^2

Answers

Presumably you're talking about a geometrical interpretation of the identity,

(a + b + c)² = a ² + b ² + c ² + 2 (ab + ac + bc)

See the attached sketch for a visual "proof" of it.

Evaluate (2-5i)(p+q)(i) when p= 2 and q=5i

Answers

Answer:

it's 25qr 78 5×4 and then 12÷5= 2r28

First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?

(Answer is ratio or proportion)

Answers

Answer:

250÷ 40 = 6.25

6.25 x 15 = 94

I forget how to do this lol

Answers

Answer:

-0.83

Step-by-step explanation:

Your answer would be the second one hope this helps :)

Brandon and Jerry like to play video games. Brandon has vvv video games, and Jerry has 292929 video games. Together they have a total of 737373 video games.

Answers

Answer:

v + 29 = 73 This is the equation

44 is the answer to this equation. If you needed it

Step-by-step explanation:

Brandon has an unknown amount of video games, which we're selling v, adn Jerry has 29 video games. All together, they have 73 video games.You can represent the amount of games that Jerry and Brandon have as a sum (addition)v + 29You know that together they have 73 gamesYou can set the two expressions equal to describe this situation with an equation v + 29 = 73You can write this as 29 + v = 73, 73 = 29 + v, or 73 = v + 29Anyone of the equations is correct

So the equation is v + 29 = 73 or any of the equations I list

Have an Awesome Day and Well I Hope This Helps

__% of 4 is 7

Please help

Answers

Answer:

175%

Step-by-step explanation:

1. To find how much a percent of a number is, we'd just have to multiply the percent by the number. However, in this case, we're missing the percentage.

2. To find that percentage, we can write an equation of [tex]\frac{x}{100} * 4 = 7[/tex] because "of 4" means to multiply by 4, and "is 7" means that the product is 7.

3. Now, let's solve our equation.

[tex]\frac{x}{100} * 4 = 7[/tex]

Step 1: Simplify both sides of the equation.

[tex]\frac{4}{100}x = 7[/tex] [tex]\frac{1}{25}x=7[/tex]

Step 2: Multiply both sides by 25.

[tex]\frac{1}{25}x * 25 = 7 * 25[/tex] [tex]x = 175[/tex]

Step 3: Check to see if solution is correct.

[tex]\frac{175}{100} * 4 = 7[/tex] [tex]\frac{700}{100} = 7[/tex] [tex]7 = 7[/tex]

Therefore, the answer is 175%.

A bird weighs 10 N and is standing 3 m up whats its GPE

Answers

Answer:

30 J

Step-by-step explanation:

Given : -

Height ( h ) = 3m

Weight ( W ) = 10 N

To find : GPE = ?

Note : -

GPE is Gravitational Potential Energy.

It is expressed in Joules ( J ).

Formula : -

W = mg

mg = 10 N

Formula : -

GPE = mgh

GPE = 10 x 3

GPE = 30 J

Therefore,

A bird weighs 10 N and is standing 3 m, it's

GPE is 30 J.

Answer:

The answer is GPE = 300 Nm (Newton meters)

Step-by-step explanation:

The bird's mass weighs to 10 Newtons.

Presuming this took place on Earth, the gravitational force is 10 Newtons.

The bird is standing 3 meters above the ground.

Using the GPE formula (GPE = mgw,) the answer should be 300 Newton metres.

Can a quadrilateral have no obtuse angles? Explain.

Answers

A ǫʀɪʟʀʟ ʜ 4 ʙs ɴɢʟs

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360∘

A quadrilateral is a four-sided closed figure with straight sides. The sum of the interior angles of a quadrilateral is 360∘360∘. Common quadrilaterals include parallelograms, rectangles, squares, kites, and trapezoids.

troy is twice as old as michelle. the difference is their age is 16. How old is troy?

Answers

Answer:

Troy is either 16 or 32.

Step-by-step explanation:

Sorry for not giving the exact answer the question is worded badly..

Answer: 32

Step-by-step explanation:

16 + 16. if you break it down, you can get 8 x 4. so if you count 8, 16, 24, (32) is your answer.

Please help ASAP!!!

Anyone know this?


See pic attached

Answers

Step-by-step explanation:

a ) 12 , 17 , 22 , 27 , 32

according to the given sequence, they added 5 in the numbers

b ) 83 , 77 , 71 , 65 , 59

in this given sequence they just subtracted 6 from the number

hope this answer helps you dear...take care and may u have a great day!

Store A sells four bags of chips for $5.00. Store B sells eight bags for $7.00. Which has the lower unit price? Show your work using mathematics.

Answers

Answer:

none because the price is just one dollar up for each store and the bags of chips are 1 less than how much you have to pay.

Step-by-step explanation:

Help This Looks Hard!

Answers

Answer:

-204ºC

Step-by-step explanation:

The third option.

In a survey of 2,600 people who owned a certain type of​ car, 1,430 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

55%

Step-by-step explanation:

1430 divided by 2600 is 0.55

0.55 is 55%

7x^2 -3x-6
7x
2
−3x−6

Answers

Answer:

7x⋅2−3x−6=11x−6

Step-by-step explanation:

pls help asap !!!!!!!!!!!!

Answers

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The criteria required to prove the given triangles congruent is :

B. ASA

the first term in the arithmetic sequence is 28 while the 12th term is 105. what's the common difference?

another help huhuu​

Answers

Answer:

scscnkscnsonvocnevdvdv1Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Blake Griffinjhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehDominique WilkinsKobeDominique WilkinsVince CarteMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Julius Erving;-;Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.KobeDominique Wilkinsjhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehBlake GriffinMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Dominique WilkinsDominique Wilkinsblack smoke led dual headlights 2006 honda accordblack smoke led dual headlights 2006 honda accordHow to wrap a 2006 honda accord 2 door How to wrap a 2006 honda accord 2 door black smoke led dual headlights 2006 honda accordblack smoke led dual headlights 2006 honda accordHow to wrap a 2006 honda accord 2 door black smoke led dual headlights 2006 honda accord5108 hekili rdKapaa HI 96746378969jhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.KobeBlake GriffinMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Julius ErvingKobeMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.jhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehBlake GriffinJulius ErvingMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Dominique WilkinsVince Carte;-;

6.4


Arithmetic is adding not multiplying so knowing that can help us out. The first term is 28 and the 12th is 105 so subtract 28 from 105 and you get 77. 77 divided by 12 is 6.4.

Hope this helps

I want need help because I’m having trouble on this question Evaluate: 2-4 =

Answers

Answer:

the answer is 16 if that is to the fourth power

Answer:

D. 1/16

Step-by-step explanation:

[tex]b^-^n = 1/b^n[/tex]

so it is

[tex]1/2^4 = 1/16[/tex]

Have a nice day!

If y=104x, what is the unit rate (without units)

Answers

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.

B. The slope of the graph of k is 2.

C. The graph of k passes through (-1, -8).

D. The zero of k is 3.

Fr someone help me

Answers

Answer:

B. The slope of the graph of k is 2.

Step-by-step explanation:

Find the equation of the line.

The slope is:

m = (8 - 0)/(1 + 3) = 2

The y-intercept is:

0 = -3*2 + bb = 6

The line is:

y = 2x + 6Now lets look at the answer options

A. The x-Intercept of the graph of k is 8.

The x- intercept is -3, False

B. The slope of the graph of k is 2.

m = 2, True

C. The graph of k passes through (-1, -8).

-8 = 2(-1) + 6-8 = 4, False

D. The zero of k is 3.

x = 0 ⇒ y = 0+ 6 = 6,  False

The slope of the graph of k is 2.

The correct statement is B.

Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).

We need to check which option is correct.

To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).

The slope of a linear function is given by:

slope = (change in y) / (change in x)

Using the points (-3, 0) and (1, 8):

slope = (8 - 0) / (1 - (-3))

slope = 8 / 4

slope = 2

So, the slope of the graph of k is 2.

Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.

Using the point (1, 8):

8 = 2 × 1 + b

8 = 2 + b

b = 8 - 2

b = 6

Now, the equation of the linear function k is:

y = 2x + 6

Now, let's evaluate the given statements:

A. The x-Intercept of the graph of k is 8.

To find the x-intercept, we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The x-intercept is -3, not 8. So statement A is false.

B. The slope of the graph of k is 2.

We already found earlier that the slope of k is 2. So statement B is true.

C. The graph of k passes through (-1, -8).

Let's check if (-1, -8) satisfies the equation of k:

-8 = 2 × (-1) + 6

-8 = -2 + 6

-8 = 4

The equation is not satisfied, so statement C is false.

D. The zero of k is 3.

To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The zero of k is -3, not 3. So statement D is false.

In conclusion:

Statement A is false.

Statement B is true.

Statement C is false.

Statement D is false.

Learn more about linear function click;

https://brainly.com/question/29205018

#SPJ3

80°
50°
Зc +2°
C=.

Can i get a step by step or a video on this?

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

In the given figure, let the third angle of the triangle be x

From Angle sum property of a triangle, we know that :

x + 80° + 50° = 180°

x + 130° = 180°

x = 180° - 130°

x = 50°

so, the third angle will be 50°

and as we can observe here, the third angle of the triangle is equal to (3c + 2)° by vertical opposite angle pair.

so,

3c + 2° = 50°

3c = 50° - 2°

3c = 48°

c = 48° ÷ 3

c = 16°

hence, value of c = 16°

PLE HELPP ASAPPP RN I NEED HELP ON 1 AND 3 URGENTLY TYYY

Answers

Answer:

1.)a.)x is divided by two and is one is added to get y

b.)y=x/2 + 1

Evaluate the expression for k = –1.

–14k =

Answers

Solution:Given, k = -1Therefore, -14 k= -14 (-1)= 14Answer:

14

what is 5 * 4 + 6 - 5 * 5 * 7 / 8 * 6 - 8 + 2

Answers

The answer is -445/4 in improper fraction form, -111 1/4 as a mixed fraction, and -111.25 in decimal form.

Answer:

-111.25

Step-by-step explanation:

guy pls help me!!!!!

Answers

it’s 63 degrees because the square is 90 degrees the other one is 27 degrees so add them and subtract from 180 because there is 180 degrees in a triangle

What is N plus five squared ?

Answers

Answer:

'n plus 5 squared' is n + 25

Step-by-step explanation:

Note that "five squared" is 5^2, or 25.

Then 'n plus 5 squared' is n + 25.

A cargo ship is 704 feet long. If 1.1 inch represents 13 feet. How long is the ship in the model? Round your answer to the nearest tenth if needed.

Answers

Answer:

59.57

Step-by-step explanation:

704 / 13

= 54.1538461538

54.1538461538 x 1.1

= 59.5692307692

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