Manny needs to solve the equation x2 – 8x – 24 = 0 by completing the square. Which pair of steps is the most efficient way to begin?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

So for some reason the person didn't put the equations... I had the same question so here they are.

A.x^2 – 8x = 24

x2 – 8x + 4 = 24 + 4

B.x^2 – 8x = 24

x2 – 8x + 16 = 24 + 16

C.x^2 – 8x = 24

x2 – 8x + 64 = 24 + 64

D.x^2 – 8x = 24

x2 – 8x + 144 = 24 + 144

Good luck!

Answer 2

The quadratic equation can be solved by completing square method. The steps to solve the given equation are explained in detail.

What is a quadratic equation?

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The given equation is,

x^2 - 8x -24 = 0

To solve this equation by completing square method, it has to be transformed into the form of (a + b)^2.

The steps for this method are given as follows,

(i) Find the coefficient of x^2. The square root of the this coefficient is the value of a.  

(ii) Find the term containing non-square part. In the given case it is -8x.

(iii) Compare the coefficient of this term with 2ab. it gives,

2ab = -8

=> 2 × 1 × b = -8

=> b = -4

(iv) Write the equation in the form of a^2 + 2ab + b^2 leaving the remaining term as it is. For the given equation it can be written as,

x^2 - 8x + 4^2 - 40 = 0

=> x^2 - 8x + 4^2 = 40

(v) Now, write the equation in terms of (a +b)^2 and get the solution. In this case it is written as,

(x - 4)^2 = 40

=> x - 4 = ±√40

=> x = 4 ±√40

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Related Questions


2/3(9x – 6) – 4 = 9x – 6
Based on the equation above, what is the value
of 3x - 2 ?

A) -4

B)-4/5

C)-2/3

D)4

Answers

The answer is A, -4. Hope this helps!

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I need help with writing an expression for this figure.

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2bs + b^2, this is the equation to find the surface area. B is base length and s is slant height.

Step-by-step explanation:

Evaluate.
5.002 - 4.3

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Step-by-step explanation:

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Identify the simplest polynomial function having integer coefficients with the given zeros:
3i, −1, 2

MUST SHOW WORK

Answers

9514 1404 393

Answer:

  f(x) = x^4 -x^3 +7x^2 -9x -18

Step-by-step explanation:

The imaginary root has a corresponding conjugate that is also a root. Each root has a corresponding factor: (x -p) for root p.

  f(x) = (x -3i)(x +3i)(x -(-1))(x -2)

  f(x) = (x^2 +9)(x^2 -x -2) . . . . combine pairs of factors

  f(x) = x^4 -x^3 +7x^2 -9x -18 . . . . finish multiplying it out

__

We have made use of the products of binomials:

  (x +a)(x +b) = x^2 +(a+b)x +ab

  (x +a)(x -a) = x^2 -a^2

what is the equation for this graph or table? picture shown :D

Answers

The equation is
Y = 4x + 11

We know that the y intercept is 11 because it’s coordinate is when x is zero.

You can then use the formula (y2-y1)/(x2-x1).

y=-x+5

Find the slope of each line

Answers

Answer: m = -1

Step-by-step explanation:

Write the slope-intercept form of the equation for the line.

Answers

Answer:

The correct answer would be y=5/8x + 1/2

Step-by-step explanation:

Answer:

The right answer is the last one (d)

[tex]y = \frac{5}{8} x + \frac{1}{2} [/tex]

If represents the number of bacteria in a culture at time t, how many will there be at time

Answers

Answer:

Population of bacteria at  time [tex]t = 6[/tex] is [tex]2441[/tex]

Step-by-step explanation:

The complete question is

If [tex]y = 10 (2.5)^t[/tex]represents the number of bacteria in a culture at time t, how many will there be at time [tex]t = 6[/tex]

Solution

Given

The population of bacteria after time t is equal to [tex]y = 10 (2.5)^t[/tex]

Population when at time [tex]t = 6[/tex]

We will substitute the value of time in above equation.

[tex]y = 10 (2.5)^6\\y = 10 *244.14\\y = 2441.4 = 2441[/tex]

PLEASE HELP ME!!!ITS DUE TODAY!!

Answers

PONLE QUE ES A LA MIERDA IEUFJEUNFUF

Answer:

17.28 is around

23.76 is the area

Step-by-step explanation:

I NEED HELP ASAP PLZZZZZ

Answers

Answer:

[tex]40%[/tex]%

Step-by-step explanation:

Okay, so percent error is how we determine the margin of differentiation or in simple terms, the percent of the difference between two numbers. The equation is as follows:

[tex]\frac{Accurate Amount-GivenAmount}{Accurate Amount}[/tex]

So, here we know that our Accurate Amount is $180 since that is the price of the phone. Our given amount is $108 dollars, so our steps would look like this:

[tex]\frac{Accurate Amount-GivenAmount}{Accurate Amount} \\\\\frac{180-108}{180} =\\\\\frac{72}{180} =\\\\0.4 or 40%[/tex]

I would be happy to help you again in the future and hope that this provided you with some clarification. Have a good day! :D

9 x 7 = (? x 7) - (1 x 7)
= 70- ?
= ?

Answers

Answer:

70 / 7

? = 10

Step-by-step explanation:

63 = 7 * ? - 7

70 = 7 x ?

70 / 7 = ?

? = 10

Answer:

-364

Step-by-step explanation:

ok so just followed the equation and got that

If the spinner spin 100 times how many times is expect to land on 9

Answers

Answer:

about 10 times I hope it helps

Which one is greater 26.2,262,275

Answers

Answer:

275

Step-by-step explanation:

Greatest number to lowest number sequence:

275, 262, 26.2

Pls, help me thank you, friends! So, pls choose wisely!

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Answer:

no identity will escape! I know where you live

What is are the numbers to P.I.E

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Answer:

Step-by-step explanation:

Answer:wow

Step-by-step explanation:I have no answer but Cool

The total cost for potatoes, y, at a grocery store can be modeled by the equation y = 0.59x, where x is the number of pound of potatoes.
What is the most appropriate domain of the function?

Answers

Answer:

all nonnegative rational numbers

Step-by-step explanation:

Hi! So I'm really confused with this. Could someone help?

Its all pythagras and stuff which im bad at, so the most helpful answer gets brainliest!

Answers

Answer:

Left=9.4cm Right = 12cm

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 x 5^2 =89^2

Square that = 9.43cm

Right Triangle

17^2-12^2=b^2

=145^"

Square it: 12cm

Only the smartest person in math knows the answer!

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Answer:

16-4x^2

Step-by-step explanation:

Answer:

The answer is 16-4x^2

Step-by-step explanation:

Hope this helps!

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please

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Answer:

3848.45cm^2

Step-by-step explanation:

What is the value of x in the figure?

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Answer:

Step-by-step explanation:

x+61=90

x=29 degrees

Eli cuts 2 feet from a ​-foot 6 length of rope. Then he cuts 13 inches from the rope. How many inches of rope are​ left?

Answers

He has 35 inches of rope left.

Jaylynn draws a hen on graph paper using the scale shown below. The hen has a height of 161616 units in the drawing.
A hen on graph paper. A 16-unit long line is labeled, "height." A 2-unit long scale is labeled, "6 centimeters."
What is the height, in \text{cm}cmstart text, c, m, end text, of the actual hen?

Answers

Answer:

It's 48

Step-by-step explanation:

I'm a little late but I got it correct on khan.

Answer:

48

Step-by-step explanation:

i have the same question and i tried 48

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A group of friends were working on a student film that had a budget of $700. They used 42% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer:

294

Step-by-step explanation:

100%-> 700

42%->294

HELP!!! PLEASEEEEEE!!!!!
Write in point-slope form an equation of the line that passes through the point (9, 5) with slope 3

Answers

Answer:

[tex]y _{1} - y = m(x _{1} - x) \\ \\ 5 - y = 3(x - 9) \\ \\ 5 - y = 3x - 27 \\ - y = 3x - 27 - 5 \\ - y = 3x - 32 \\ y = - 3x + 32[/tex]

I hope this help

Apple, carrot, and celery juices are mixed in a ratio 3 : 1 : 2. The amount of appe juice is 33 millimeters.

a) How much more apple juice is used in the mixture than carrot juice?

b) What is the total amount of the mixture?

Answers

Answer:

A) 3 times more apple juice is used than carrot juice aka 22 more millimeters

B) 66 millimeters

Step-by-step explanation :

3 : 1 : 2     aka     33 : 11 : 22

You have the ratio, so you just have to divide 33/3 and you know you have to multiply that awnser times the other ratios.

So...

33/3 = 11

3 x 11 = 33

1 x 11 = 11

2 x 11 = 22

So the ratio is 33 : 11 : 22

Then, A is asking you how much more apple juice than carrot juice, so subtract ( amount of apple juice - amount of carrot juice )

33 - 11 = 22 millimeters more apple juice than carrot juice

Then, B is asking you how much juice is there in total. So just add all the juices together....

33+22+11 = 66

So 66 milimeters of juice all together

(a) The apple juice is 22 ml more than the carrot juice.

(b) The total amount of the mixture is 66 ml.

Ratio:

Important information:

The ratio of Apple, carrot, and celery is 3 : 1 : 2.Amount of apple juice is 33 ml.

(a)

Let the quantity of Apple, carrot, and celery is 3x, x, 2x respectively.

[tex]3x=33[/tex]

[tex]x=11[/tex]

Difference between Apple and carrot juice is:

[tex]3x-x=2x[/tex]

[tex]3x-x=2(11)[/tex]

[tex]3x-x=22[/tex]

Therefore, the apple juice is 22 ml more than the carrot juice.

(b)

The total amount of the mixture is:

[tex]3x+x+2x=6x[/tex]

[tex]3x+x+2x=6(11)[/tex]

[tex]3x+x+2x=66[/tex]

Therefore, the total amount of the mixture is 66 ml.

Find out more about 'Ratio' here:

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Alyssa’s family has completed 80% of a trip. They have driven 40 miles. How far is the trip?

Answers

Answer:

50 miles

Step-by-step explanation:

i just know

You are painting all four walls of a shed. Each wall is a rectangle with a length of 12 feet and a height of 12 feet. A gallon of paint covers about 375 square feet. How many gallons of paint do you need in order to cover the walls? Write your answer as a decimal.

Answers

Answer:

24

Step-by-step explanation:

Answer:

1.536 gallons

Step-by-step explanation:

12x12 = 144

144x4 = 576

576/375 = 1.536 gallons

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Answers

Step-by-step explanation:

decimal decimal six

it is helpful

Find the measure of ∠u given that​ p||q.

Answers

Answer:

u=y

u=35°

hope this is enough

The angles are those which are located at the same relative location on distinct crossings and are known as corresponding angles.

Corresponding angles:

The angles are those which are located at the same relative location on distinct crossings and are known as corresponding angles.Whenever a line termed an "overlapping transverse" crosses through two straight lines that match angles that are generated.[tex]\angle[/tex]  u and  [tex]\angle[/tex] y are corresponding angles. It is equal if the transverse line crosses two parallel lines. Therefore, the Corresponding angle is [tex]\angle[/tex] u = 35°.

Find out more about the corresponding angles here:

brainly.com/question/1597341

[b] A right circular cylinder whose volume is 704 cm and its diameter length is 8 cmn.
» then find its height
​HELP ASAP!!

Answers

Answer:

volume of cylinder=704 cm³

πr² h=704

22/7 ×(8/2)²h=704

50.28h=704

h=704/50.28=14.001=14cm

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