If using the method of completing the square to solve the quadratic equation x^2-3x+20=0x 2 −3x+20=0, which number would have to be added to "complete the square"?

Answers

Answer 1

Answer:

The polynomial must be added by 2.25 on each side of the equation.

Step-by-step explanation:

Let [tex]x^{2}-3\cdot x +20 = 0[/tex], we need to add each side by 2.25 to complete the square, that is, expanding the polynomial so that factor of a perfect square trinomial can be done:

1) [tex]x^{2}-3\cdot x +20 = 0[/tex] Given

2) [tex](x^{2}-3\cdot x +20) +2.25 = 2.25 + 0[/tex] Compatibility with addition/Commutative property

3) [tex](x^{2}-3\cdot x +2.25) +20 = 2.25[/tex] Commutative, associative and modulative properties.

4) [tex](x-1.5)^{2} +20 = 2.25[/tex] Perfect square trinomial/Result

Answer 2

Answer:

(x−21​)^2=81/4


Related Questions

8/9 + 2/3 + 1/6 = PLeASe HeLp

A. 11/8

B. 11/15

C. 1 13/18

D. 1 2/9

Answers

Answer:

C. 1 13/18

Explanation:

The area of the following parallelogram is 77m2. What is the length it’s base?

Answers

Answer:

11 maybe???

Step-by-step explanation:

Which equation best represents the graph?

Answers

It’s the last choice
Slope is decreasing so negative slope is 1/2
Y intercept is 3

find the volume of the 2 dice if the length of the base of the cube is 4cm

A) 64cm cubed
B) 96cm cubed
C) 108cm cubed
D) 128cm cubed​

Answers

Answer:

I think the answer is A 64cm cubed

Find the greatest common factor of 24x^2 and 42xy^3 .

Answers

Answer:

12y2

Step-by-step explanation:

Prehistoric cave paintings were discovered in a cave in France. the paint contain 25% of the original Carbon-14. Use the exponential decay model for carbon-14, A=A0e^-0.000121t to estimate the age of the paintings

Answers

Answer:

The age of paintings is - 26,601 years .

Step-by-step explanation:

Lets calculate-

A= [tex]0.25 A[/tex]o

Therefore ,

[tex]A= A[/tex]o [tex]e^-^0^.^0^0^0^1^2^1^t[/tex]

[tex]ln0.25=-0.000121t[/tex]

[tex]-3.2188=-0.000121t[/tex]

[tex]t=\frac{-3.2188}{-0.000121}[/tex]

  t= 26,601.65

Therefore , the age of paintings is 26,601 years old.

Solve the inequality
*
2x^2+ 5x – 3 < 0.

Answers

Answer:

heres the answer I think

Step-by-step explanation:

-3 < x < 1/2

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.

Answers

Answer:

[911,∞)

Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since,  Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So,  

Hence, the solution set of the inequality will be [911,∞)

What is the value of x In the solution to the system of equations below?
6х + Зу = 13
3х - у = 4
F. 1
G. 5/3
H. 8/3
J. 7/3

Answers

Answer:

The answer is G. 5/3

Step-by-step explanation:

I used the elimination process and multiplied the second equation by three which allowed me to cancel out the positive and negative three y's.

6x+3y=13

(3x-y=4)*3

6x+3y=13

9x-3y=12

6x+9x=15x

13+12=25

15x=25

15x/15=25/15

By dividing, the fifteens on the left cancel out leaving:

x=1.66667 or 1 2/3 = 5/3

I hope this helps. :)

A ship sails 20 km due East, then 12 km due South.

Find the bearing of the ship from its initial position.

Give your answer correct to 2 decimal places.

Answers

Answer:

Step-by-step explanation:

20km east - 12km south= 8km east

Answer:

its 120.96

Step-by-step explanation:

i dont have any but i know that is the answer

A biologist has two brine solutions, one containing 7% salt and another containing 28% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contains 19.6% salt?

Answers

Answer:

Each litters can be represented as; x and y respectively to the 7% and the 28%

x + y =1

7x + 28y =19.6

This a simultaneous equation and can either be solved by using elimination or substitution method

Using the substitution method

eqn1, x=1-y

putting into eqn2

7(1-y)+28y =19.6

7-7y+28y=19.6

21y=12.6

y=3/5

but x=1-y

so

x=1-3/5

x=2/5

Someone help please ​

Answers

Answer:

it is 1000x+2000

Step-by-step explanation:

Question:

Answer: 1000x + 2000

(Past Due) Need Help

Answers

I would say its the second one.

the student shouldve distributed the 2^3x+3 into 2^3x+9

1/5 x 11 simplified if can

Answers

Answer:

2.2

Step-by-step explanation:

Answer:

11/5

Step-by-step explanation:

What is the value of x in the equation 13−2(+4)=8+1 13 x − 2 ( x + 4 ) = 8 x + 1 ?

Answers

Answer: x= 12/103

alternate form x =0.116505

Step-by-step explanation:

Try Photo math! It explains step by step!

Hope this helps!!!!

Please help, GodBless.

Answers

Answer:

m = - 6 :)

Step-by-step explanation:

A 3-cup container of disinfectant costs $1.92. What is the price per fluid ounce?

Answers

Answer:

Its cost about 1.5625

if you rounded its 1.56 :)

Step-by-step explanation:

Plz help is it the same?

Answers

Answer:

12.054 < 12.54

Step-by-step explanation:

12.054 is less than 12.54 because it has a zero in the tenths place, and 12.54 has a five in the tenths place! Always check the first spot after the decimal first. Best of luck<3

Answer:

12.054 < 12.54

Step-by-step explanation:

PLEASE HELP THIS IS TIMED!!

Answers

Answer:

(D) 3/10

Step-by-step explanation:

So its split into 10 different rates each and its on the third split So 3/10.

WILL GET BRAINLIEST The scatterplot shows the weight and miles per gallon of the nation's 40 best-selling cars.
Vehicle Weights and Miles
Per Gallon
Miles Per Gallon
Vehicle Weight
Which statement is most strongly supported by the scatterplot?

Answers

The last one as we can see that as the wight increases, the miles per gallon decreases.

EH is a diameter is D. The measure of EF is (10x + 8) and the measure of GH is (11x). What's the value of X

Answers

Answer:

x = 5°

EF = 58°

GH = 55°

Step-by-step explanation:

From The diagram :

Recall ; Angle on a straight line = 180°

This means :

EF + FG + GH = 180

EF = (10x + 8)°

GH = (11x)°

FG = 67°

HENCE;

10x + 8 + 11x + 67 = 180

21x + 75° = 180°

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

EF = 10x + 8 = 50 + 8 = 58°

GH = 11x = 11 * 5 = 55°

I need help, I dont understand

Answers

Answer:

20,19,18

Step-by-step explanation:

because you have to go backwards

a) 3= x + 7
b) -7a-49

Answers

Answer: b im pretty sure hope this helps :)

Step-by-step explanation:

Answer:

A: x = -4

B: a = -7 (I'm assuming the '-' in front of 49 was supposed to be an '=')

Step-by-step explanation:

A: You need to group the like terms together, and isolate the variable, which in this case is x.

Take the 7 over to the other side, so the equation looks a little bit like this.

3-7 = x.

3-7 is -4, so we've gotten our answer.

x = -4.

B: -7a = 49.

When two negative numbers are multiplied together, the product becomes positive.

49 is 7x7.

-7 times -7 would be 49.

So, in this situation, a would be -7.

a = -7.

Solve the word problem using the plotted points on the graph.

Answers

Answer:

In the graph, we can see that the relation between length and weight is given by the adjusted line, which passes through the points (24, 16) and (28, 25)

Remember that a linear relation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be calculated as:

a = (y₂ - y₁)/(x₂ - x₁)

Then in our case, the slope will be:

a = (25 - 16)/(28 - 24) = 9/4

y = (9/4)*x + b

Knowing that this line passes through (24, 16), we know that when x = 24, y must be equal to 16.

If we replace these in the equation, we can find the value of b.

16 = (9/4)*24 + b

16 = 54 + b

16 - 54 = b - 38

Then the equation is:

y = (9/4)*x - 38

Now that we know the equation, we can simply replace y by 34 pounds to find the value of x.

34 = (9/4)*x - 38

34 + 38 = (9/4)*x

72*(4/9) = x = 32

So we can estimate that the length of a fish that weighs 34 pounds is 32 (I do not know the unit of length, I can't see the horizontal axis on the image)

A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?

A- 1.11%, B - 10.56%, C - 86.65%, D - 100%

Answers

Answer:

the answer is B.........................

Write an expression to represent the following:
Two less than the product of five and a number x.?

Answers

Step-by-step explanation:

[tex]5x - 2[/tex]

...........

Answer:

2-5x

Step-by-step explanation:

let the number be x, 5 *x = 5x.

2 less means ,2 minus,

>> 2-5x.

Order form least to greatest
0.777, 9/11, 5/9, 65%, 0.714, 83.3%, 0.583, 0.5, 0.75, 4/9

Answers

Answer:

4/9, 0.5, 0.583, 5/9, 65%, 0.714, 0.75, 0.777, 9/11, 83.3%!

Step-by-step explanation:

Hope this helps

A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?

Thanks in advance!

Answers

Answer:

852 inches square

Step-by-step explanation:

2×(16×15 + 16×6 + 15×6)

Answer:

652 in²

Step-by-step explanation:

The formula is 2(wl+hl+hw)

h is height

w is width

l is length

Use PEMDAS/BIDMAS/BODMAS (do the parentheses then multiply it)

326*2 = 652

add your units

652 in^2

Write 3^4 in expanded form. (3^4 means 3 raised to the fourth power.)

A: 3x3
B :3x3x3
C: 3x3x3x3
D: 3x3x3x3x3

Answers

Answer:

c because 3.3.3.3 is 3 to the 4th power expanded

How to write 8,99,999 in international system. I want this number but in words of international system

Answers

8,99,999 in international system:-

899,999= Eight hundred ninety-nine thousand nine hundred ninety-nine

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