If using the method of completing the square to solve the quadratic equation
x2 -9x + 2 = 0, which number would have to be added to "complete the square"?

Answers

Answer 1

Answer:

Add the square of half of the coefficient of [tex]x[/tex] to both sides

[tex]\left(-\dfrac92\right)^2=\dfrac{81}{4}[/tex]

Completing the square:

Rewrite  [tex]x^2-9x+2=0[/tex]  in the form  [tex]y=(x-b)^2 +c[/tex]

Add the square of half of the coefficient of [tex]x[/tex] to both sides:

[tex]\implies x^2-9x+2+\left(-\dfrac92\right)^2=\left(-\dfrac92\right)^2[/tex]

[tex]\implies x^2-9x+2+\dfrac{81}{4}=\dfrac{81}{4}[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 +2=\dfrac{81}{4}[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 +2-\dfrac{81}{4}=0[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]

[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]


Related Questions

hii please help me!!!

Answers

Answer:

17

Step-by-step explanation:

The overlapped ones still went to germany but also went to other places to so...6+4+4+3

Answer:

Not sure

Step-by-step explanation:

The length of a rectangular room is 4 feet longer than twice the width. If the room’s perimeter is 140 feet, what are the room’s dimensions?

Answers

Answer:

Width = 22ft  Length = 48ft

Step-by-step explanation:

Length = 2(w) + 4

I personally first picked a random number (20) and I got 128, so I knew I had to pick a larger number.

I skipped up to 22 and this is what I did.

W = 22(2) <--(Since there are two width sides) = 44

L = 2(w) + 4

L = 2(22) + 4

L = 44 + 4 = 48

48(2) <--(Since there are two length sides) = 96

96 + 44 = 140

Hope this helps!

find the distance between point to p(8,2) and Q(3,8) to the nearst tenth

Answers

Answer:

Using the distance formula it is the square root of 61 which is about 7.8 to the nearest tenth soooo if Q

Step-by-step explanation:

please help me with this question!




// i didn’t mean to select d

Answers

Answer:

B

Step-by-step explanation:

on visits they is not any kind of pattern  it is oppisite or negative with no Relationship and the books are not either

Jalal notices the temperature outside at sunrise is -6 F*. An hour later the temperature is 12F*. Which expression represents the change in temperature?

A. 12 - (-6) = 6

B. -6 - (12)m = -18

C. -6 - (12) = -6

D. 12 - (-6) = 18

Answers

Answer:

A.

Step-by-step explanation:

If you take -6 and add 12, you first add 6 to make it zero, and have 6 to add after that. This gives you 6* F

Your answer is correct
4
Which of the following algebraic expressions correctly represents the phrase "fifteen less than twice a number"?

Answers

Answer:

You didnt list any options

Step-by-step explanation:

One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat. The equation 4p + 9f = 60 represents the relationship between these quantities. If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.

Answers

Answer:

1.5 grams of protein.

Step-by-step explanation:

The equation that represents the relationship between protein and fat is as follows :

4p + 9f = 60 ....(1)

We need to find the grams of protein are there if there are 6 grams of fat in the snack.

Put f = 6 in the above equation (1).

4p + 9(6)= 60

4p + 54 = 60

Subtract 54 to the both sides,

4p + 54-54 = 60-54

4p = 6

p = 1.5 grams

It means the snack contains 1.5 grams of protein.

In between which two numbers does 200 to the third power lie between??

Answers

Answer:

8,000,001 and 7,999,999

Step-by-step explanation:

200^3 = 8,000,000

(200 x 200 = 40,000

40,000 x 200 = 8,000,000)

SPEED QUESTION!!!
the first person that answers this and gives step by step explanation gets 50 points plus brainliest answer!!!

4(1-x)+3x=-2(x+1)

GOOD LUCK!!!

Answers

Answer:

-6

Step-by-step explanation:

Given

4(1 - x) + 3x = -2(x+1)

Solving for x

4(1 - x) + 3x = -2(x+1)4 - 4x + 3x = -2x - 24 - x = -2x - 2- x + 2x = - 2 - 4x = - 6

Answer:

x = -6

Step-by-step explanation:

4(1 - x) + 3x = -2(x + 1)

~Distribute both sides

4 - 4x + 3x = -2x - 2

~Combine like terms

4 - x = -2x - 2

~Add x to both sides

4 = -x - 2

~Add 2 to both sides

6 = -x

~Divide -1 to both sides

-6 = x

Best of Luck!

You order 8 units. You get a case missing two units. Whats in a case?

Answers

6 units

Hope it helps!

What is the value of x?

Answers

Answer:

4x+7 = 5x-20                  

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

WILL GIVE BRAINLIEST 100 POINTS PLEASE HELP DON't BE WRONG

If triangle ABC undergoes a dilation of scale factor 3 centered at the origin, what will be the coordinate of the image of point B?
A. (6,3)
B. (2,9)
C. (5,6)
D. (6,9)
If triangle ABC undergoes a dilation of scale factor 3 centered at the origin, what will be the coordinate of the image of point B?
A. (6,3)
B. (2,9)
C. (5,6)
D. (6,9)
Will love you forever if right ;D

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. (6, 9)

Step-by-step explanation:

B(2, 3) → B'(6, 9)

multiply by 3

The population of a certain town was 50,000.In a year,male population
was increased by 5% and female population was increased by 3%. Now
the population beame 52020. Then what was the number of males and
females in the previous year?
olution:- Let the number of males in previous year be x,number of females​

Answers

Answer: Male population = 26,000

               Female population = 24,000

Step-by-step explanation: Male population = X

                                             Female population = Y

               x+y=50,000

               y=50,000-x-(1st equation)

Again (x+x X 5%) + (y+y X 3%) = 52,020

-> x+5x/100 + y+3y/100 = 52020

->  100x+5x+100y+3y =52020

   ________________

                100

-> 105x+103y = 52020-( 2nd Equation)

Putting Eq 1 into 2 ,

105x+103 ( 50,000-x)= 52,020

-> 105x + 5,150,000-103x = 52,020

->2x = 52,020-5,150,000

->2x = 52,000

    x = 26,000 (Male population)

    y = 50,000-26,000

       = 24,000 (Female population)  

   

   

             

Can you guys help me find the values of z and y?

Answers

Answer:

y=33 z=69

Step-by-step explanation:

y=27, z=111

explanation:
3y-12= 69
3y= 81
y= 27

180-69= 111=z

Fatima has a bag of 492 grams of dried figs. She eats 16.4 grams each day. This can be represented by the equation y=492- 16.4x . Determine the x and y intercepts.

Answers

Answer:

x intercept

(x;y=0)

y=492-16.4x

0=492-16.4x

-492=-16.4x /÷(-16.4)

30=x

(30;0)

y intercept

(x=0;y)

y=492-0

y=492

(0,492)

b. What value of x will make the equation f(x) = 22 true?

Answers

0. There’s no x- intercept. Hope I’m right

Find the value of 192 x 38

Answers

Answer:

7296

Step-by-step explanation:

.

Answer:

7296

Step-by-step explanation:

you multiply the two numbers and the out come is 7296

Help me please with those 4 questions

Answers

Answer:

it small an blurry

Step-by-step explanation:

find the nth term of 8,17,26,35,....

Answers

Answer:

8 + (n-1)*9

Step-by-step explanation:

In the series, we can see that the difference between 2 consecutive terms is always 9, and the sequence starts at 8.

That means the nth term of the series must be 8 + (n-1)*9

what is the product of -5 and-8 answers are -40
-13. 13. 40​

Answers

Answer: 40

Step-by-step explanation: -5 x -8 is 40 since the negatives cancel each other out, the product is positive :)

Answer:

hello:

your answer you desire, I shall give away, to the sire, but dare not there is a price to pay, answer the riddle:

What is the product of –5 and –8?

I answer indeed, for it is 40!

Sorry I just thought that would be funny, but your answer is 40!

Hope this helps!!

I took a quiz with this question.

Step-by-step explanation:

Oliwia made a scale copy of the following triangle she used a scale factor greater than 1 whats the height

Answers

Answer:

Is this the complete question? is there a figure for this?

How many bags of marbles, each 2/5 of a kg each can be made from a sack of marbles which weighs 280kg?


Can anybody answer me please I will mark you as brilliance

Answers

Answer:

112 bags o marbles

Step-by-step explanation:

280kg/2.5= 112 bags

Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 points. In the last 4 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points. Write an inequality to determine the number of points per inning, ppp, Kim's team could have scored. Write an inequality to determine the number of points per inning, ppp, Kim's team could have scor Find the minimum whole number of points per inning Kim's team could have scored.

Answers

Answer:

3

Step-by-step explanation:

Given the following :

Score when there were 4 innings left = 17 to 6

Kim's team = 6 ; opposition team = 17

Opposition didn't score any point in the last 4 innings

Kim's team scored same number of points per inning and also won with the most points

Minimum Number of points Kim's team could have scored per inning :

Let number of points scored in each of the last 4 innings = p

Since they also won eventually:

Then

4p + initial points > opposition point

4p + 6 > 17

4p > 17 - 6

4p > 11

p > 11/4

p > 2.75

Hence, the minimum number of points Kim's team could have scored per inning in the last 4 would be 3( nearest whole number)

3xy + 9 - 4x - 7+ x or – 2x + 3xy - (x - 2)

Answers

Answer:

the answer is3xy+9-4x. -3x+3xy

Answer:

3xy+9-4x-7+x. -2x+3xy-(x-2)

=3xy+(9-7)+(-4x+x). = -2x+3xy-x+2

=3xy+2-3x. = (-2x-x)+3xy+2

= -3x+3xy+2

Reflection of point P (3,-1) over the line y=x is

Answers

Answer:  (-1,3)

When reflecting over the line y = x, we swap the positions of x and y.

The rule is [tex](x,y) \to (y,x)[/tex]

Side note: this process is useful when it comes to finding the inverse. This is because the inverse undoes the original function.

Question: Let R be the circle centered at (0,0) with radius 10. The lines x=6 and y=5 divide R into four regions R1, R2, R3 , and R4. Let R_i denote the area of region R_i If R1>R2>R3>R4,

then find R1-R2-R3+R4
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Thanks! (Brainliest, 5 stars, and thx!)

Answers

Answer:

120

Step-by-step explanation:

i used geogebra :)

A soccer coach recorded how many hours, rounded to the nearest hour each of 12 soccer players practiced for last week The box and whisker plot that descubes the ata is displayed
below the first quartile of the data was 75 which statement must be true?
105
12
Exactly 9 of the 12 soccer players prachoed for between 7 and 8 hours last week
Exactly 9 of the 12 soccer players practiced for at least 7 5 hours last week
Exactty 3 of the 12 soccer players practiced for between 7 and 8 hours last week
Exactly 3 of the 12 soccer players practiced for at least 7 5 hours last week​

Answers

Answer:

The correct option is;

Exactly 3 of the 12 soccer players practiced for at least 75 hours last week,

Step-by-step explanation:

The given information are;

The number of soccer players that practiced = 12 soccer players

The first quartile of the data of the recorded number of hours each soccer player practiced = 75

Therefore, given that that there are 12 soccer players, the number of data points = 12

The value of the 1st quartile is the value of the (n + 1)/4th term

When n = 12, we have;

The 12th quartile = (12 + 1)/4 = 3.25 th term with the values arranged in increasing order;

Therefore, the first quarter has the values for the first 3 players, with the lower practiced hour recorded while the recorded time for the remaining 9 players come after the first quartile;

The correct option is therefore that it must be true that exactly 3 (since we do not represent a player with the remaining fraction of 0.25 in 3.25) of the 12 soccer players practiced for at least 75 hours last week.

Rachel bought new school supplies for herself at Target. Pencil packs were $4.75, markers were $6.80, and folders were $8.64. If she bought 7 folders, 2 pencil packs, and 3 packs of markers, how much money did she save if she had a 15% discount coupon?

Answers

Answer:

She saved $13.56

Step-by-step explanation:

$8.64 x 7 folders = $60.48

$4.75 x 2 packs of pencils = $9.50

$6.80 x 3 packs of markers = $20.40

$60.48 + $9.50 +$20.40 = $90.38

$90.38 - 15% = $76.82 (76.823)

She saved a total of $13.56 (13.557)

Answer:

Rachel saved $13.56

Step-by-step explanation:

Pencil Packs: 2 x $4.75 = $9.50

Markers: 3 x $6.80 = $20.40

Folders: 7 x $8.64 = $60.48

Add up the costs.

$90.38

Multiply $90.38 by 0.15

13.557

Round to the nearest hundredth.

$13.58

Hope I helped :)

Please consider Brainliest :)


Tell whether it is possible to draw a triangle with the given side lengths.
a. 3 in., 4 in., 5 in.
b. 1 cm, 7 cm, 8 cm
c. 3 ft, 5 ft, 9 ft

Answers

Answer:

A.

Step-by-step explanation:

Since the 2 shorter sides are greater than the longest side when added, it meet the triangle inequality thoerem. Triangle Inequality Theorom: The longest side of a triangle is less then the 2 shorter sides added.

Which of the following expressions is equivalent to 9x2 - 4 ?

Answers

If your teacher wants you to factor, then use the difference of squares rule

9x^2 - 4

(3x)^2 - 2^2

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

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