If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?​

Answers

Answer 1

Answer:

         ⁹/₄

Step-by-step explanation:

The square is:  a²-2ab+b²

We have

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

it's:   [tex]x^2-2\cdot x\cdot\frac32[/tex]

so we need:   [tex]\left(\frac32\right)^2=\frac94[/tex]

[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]

witch, of course, means no solution

   


Related Questions

Consider the function graphed below.

Which function does the graph represent?

Answers

Answer:

its c on edge 2021

Step-by-step explanation:

The function of graph is

f(x) = { x²                   , x < 1

         1/3x+ 2/3        , x > 1

What is function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

For first part of graph we have the equation of parabola as

y = a (x- h)² + k

At origin, h= 6 and k= 0

y = ax²

and, Passing through the point (1, 1)

1 = 1 (a)

a= 1

So, the equation first is y= x².

Now, for second part using slope intercept form

y= mx+ b

As, Passing through (1, 1) and (4, 2)

(y- 1) = (2-1)/ (4-1) (x- 1)

y-1 = 1/3 (x-1)

y - 1 = 1/3 x - 1/3

y - 1/3 x = -1/3 + 1

y - 1/3x = 2/3

y= 1/3x + 2/3

So, the function of graph is

f(x) = { x²                   , x < 1

         1/3x+ 2/3        , x > 1

Learn more about Function here:

https://brainly.com/question/9590016

#SPJ5

I need help with #12

Answers

Answer:

B

Step-by-step explanation:

Help Please!

A block of cheese measures 8cm by 6cm by 4cm. A cubical piece of side 2cm is cut off from it.

(a) What volume of the cheese is left?

(b) The piece left is cut into 12 equal pieces. What is the volume of each of these 12 pieces?​

Answers

Answer:

a) 184cm³  b) 15.3cm³

Step-by-step explanation:

A) Vol. of block of cheese= L×B×H= 8cm×4cm×6cm= 192cm³

    Piece of cheese cut out= S×S×S= 2cm×2cm×2cm= 8cm³

    Remainder= 192cm³ - 8cm³ = 184cm³

B) Remainder = 184cm³ is cut into 12 equal pieces

   Each pieces = 184cm³ ÷ 12 = 15.3cm³

PLEASE HELP I DONT KNOW HOW TO DO ANY OF THIS

NO LINKS

Answers

Answer:

(3, 1) and (6, -2)

Step-by-step explanation:

Just look at the interceptions

Answer:

(3,1) and (6,-2)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

They intersect at the points

(3,1) and (6,-2)

A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?

A 3
B 6
C 10
D 12

Answers

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

whats the answer to this ill give brainliest

Answers

Answer:

80

Step-by-step explanation:

110-180=70

30+70=100

100-180=80

Answer:

I think the answer is 80

Step-by-step explanation:

write in standard form 5.2-0.5x=1.9y​

Answers

Answer:

5.2 = 0.5x + 1.9y

Step-by-step explanation:

In this case "standard form" signifies an equation resembling Ax + By = C.

Adding 0.5x to both sides results in  5.2-0.5x + 0.5x = 1.9y​ + 0.5x, or

5.2 = 0.5x + 1.9y, which is in "standard form."

Using f(x) =8x^2 and g(x) = 2x +8
Find f(g(x))

Answers

Answer:

32x²+256x+512

Step-by-step explanation:

f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512

Can someone help me

Answers

I'll help.

A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?

it's easy, you only need to divide 15 by 5.

Like this :

15÷5= 3

because 5×3 = 15 , so you just need to flip it over

so, the student need 3 minutes to solve 5 problems



NEED HELP PLZ ON ASSIGNMENT

Answers

Answer:

1 and -3

Step-by-step explanation:

To solve for the roots (x-1)(x+3) set x-1 to = 0 and solve for x. Same thing for x+3.

Answer:

1, and -3

Step-by-step explanation:

So when looking for roots, we take our quadratic equation that is in factored form, and set each partheasese to 0:

x-1=0 and x+3=0

Now just subtract and add the -1 and +3 to both sides:

x=1 and x=-3

These are your 2 answers for the quadratic.

Hope this helps!

What is the radius of the circle?

Answers

Answer:

8×ED=3×15

ED=45/8

the radius is the half of the diameter

so its 45/16

Answer:

[tex] \frac{ae}{be} = \frac{ce}{de} = \frac{bc - be}{ad - ae} \\ \\ = > \frac{8}{3} = \frac{15 - 3}{ad - 8} \\ \\ < = > \frac{8}{3} = \frac{12}{ad - 8} \\ \\ = > ad - 8 = \frac{12 \times 3}{8} = 4.5 \\ \\ < = > ad = 4.5 + 8 = 12.5 \\ \\ = > r = 12.5 \div 2 = 6.25[/tex]

Jajakskssjjsskzkzjjzzjsjsjsjzjzjzj please answer

Answers

Answer:

well it stopped on the 8 intercept means stop or cut off so

Step-by-step explanation:

i's say 8

Someone help please!!!!

Answers

Answer:

26.563, 1.977

Step-by-step explanation:

I will be honest I'm not 100% sure but i believe that the total distance all together is 26.563. I simply added all the distances.

Jada ran 1.977 miles further than Noah.

I'm so sorry if im wrong hope this helps though <3

DUE IN 10 MINUTES!! PLEASE ANSWER THESE QUESTIONS BELOW. 100 POINTS!!
TOPIC: Probability



1. Provide an example of when probability is used in the media

2. Give a personal example of when probability informed your decision making

3. Provide an example of probability being used to influence a decision

4. Explain how decisions are a combination of theoretical, experimental, and subjective probability

Answers

Answer:

Here is ur answer :

1. Probability of composing music for a movie is 1

2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .

3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .

4. Sorry i don't know

Hope the others will help you !!

The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.

Answers

Answer:

I need this tooo, did u find it??

Step-by-step explanation:

Which has a larger area? A triangle with a base of 15ft and a height of 25
feet, or a square with sides of 14ft *
Triangle
Square
They both have the same area.

Answers

Answer:

Square

Step-by-step explanation:

Area of triangle = 1/2 * b * h

= 1/2 * 15 * 25

= 187.5 ft²

Area of square = side * side

= 14 * 14

= 196 ft²

Comparing both areas, it is clear that square have a larger area.

Homemade applesauce is one of Duncan's favorite foods, so he bought 10 pounds of apples at the farmers' market. His applesauce recipe says that 8 ounces of apples make 1 cup of applesauce. How many cups of applesauce can he make with 10 pounds of apples?

Answers

Answer:

20 cups of applesauce

Step-by-step explanation:

8 ounces = 0.5 pounds

Pounds of apples : cups of applesauce

0.5 pounds : 1 cup = 10 pounds : x cups

0.5/1 = 10/x

0.5*x = 1*10

0.5x = 10

x = 10/0.5

x = 20 cups of applesauce

10 pounds of apples will make 20 cups of applesauce

Mhanifa please help! This is due soon and I dont want to fail

Answers

Answer:

#1

Sum of interior angles is 180:

y = 180 - (42 + 31) = 107

The law of sines:

x / sin 107 = 11 / sin 42x = 11 sin 107deg / sin 42deg x = 15.72

#2

The law of cosines:

cos 76  = (6² + 17² - x² )/2(6)(17)204*0.24 = 325 - x²x² = 325 - 48.96x² = 276.04x = √276.04x = 16.61

#3

Same as above:

2*9.4*10*cos 20 = (10² + 9.4² - x²)176.66 = 188.36 - x²x² = 188.36 - 176.66 x² = 11.7x = √11.7x = 3.42

#4

Sum of interior angles is 180:

y = 180 - (52 + 94) = 34

The law of sines:

x / sin 34 = 15 / sin 94x = 15 sin 34  / sin 94 x = 8.41

HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?

Answers

We need to simpify the given expression. The given expression to us is ,

Given Expression :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]

Using Identity :-

[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]

So that :-

[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]

We have :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]

Hence the required answer is -1/4.

The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for ​.

Answers

Answer:

50.27

Step-by-step explanation:

remember that the circumference of a circle is 2πr

so 3.15x8 and then multiply by two

Answer:

200.96 ft²

Step-by-step explanation:

Step 1: Define/formula

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve

According to the word problem, the radius is 8.

From here, we plug the numbers into the formula.

[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]

Step 3: Conclude

Therefore, the area of this circle is 200.96 ft.²

answer please no linkd or files

Answers

the answer is F

or x=3

Hope this helped!

Use the law of sines to complete an expression that represents the angle measure x

Answers

Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x

A jacket that normally sells for $80 is on sale for 20% off. What is the sale price of the jacket?

Answers

Answer:

64

Step-by-step explanation:

..........

.........

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

so start by setting up the problem and since it’s a 90* angle, set it equal to 90

x+79+10=90

Then Combine like terms

x+89=90

subtract 89 from each side

x=1

Answer:

x = 51.5

Step-by-step explanation:

Find the elapsed time.
from 8:32 A.M. to 1:59 P.M.

Answers

Answer:

easily look it up on the internet

Answer:

5 hours and 27 min

Step-by-step explanation:

find the area of the parallelogram​

Answers

Answer:

answer: 12

Step-by-step explanation:

You get 12 by doing base × height. So our base in this problem is 2.5 and our height is 4.8 so

2.5 × 4.8 = 12 Hope this helps!


P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and

SQR = 46°.
Work out

RPQ

Answers

Answer:

m<RPQ = 22°

Step-by-step explanation:

Given:

m<SRQ = 90°

PS = PQ

m<SQR = 46°

Required:

m<RPQ

Solution:

m<SQR + m<SRQ + m<RSQ = 180°

Substitute

46° + 90° + m<RSQ = 180°

m<RSQ = 180° - 136°

m<RSQ = 44°

Find m<PSQ:

m<PSQ = 180° - m<RSQ (Angles on a straight line

m<PSQ = 180° - 44° (Substitution)

m<PSQ = 136°

Find m<RPQ:

∆QSP is an isosceles triangle with two equal base angles. Therefore:

m<RPQ = ½(180° - 136°)

m<RPQ = 22°

HELP ASAP!!!

An investor bought 1,500 shares of stock for $6 a share. He estimates the probability that the stock will rise to a value of $25 a share is 24%, and the probability it will fall to $2 a share is 76%. What is the expected value of the investor's profit from buying the stock?

A: $13,560
B: $9,120
C: $6,720
D: $2,280​

Answers

The answer is gotta be a

PLEASE HELP FAST!
The number 44 is multiplied by a 44-digit number that contains only ones. What is the sum of the digits of the product?

Answers

Answer:

352.

Step-by-step explanation:

The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.

So the sum = 2*4 + 43*8

= 352.

The boiling point of jet fuel is 329 Fahrenheit round to the nearest degree what is the temperature in degrees Celsius use the formula 9/ 5 Celsius +32

Answers

Answer:

The temperature in degrees Celsius is 165

Step-by-step explanation:

As given

The conversion formula of Fahrenheit to Celsius is

(°F − 32) × 5/9 = °C

Where

F = temperature in Fahrenheit

Substituting the given values, we get -

[tex](329 -32)*\frac{5}{9} \\297 * \frac{5}{9}\\33*5\\165[/tex]

The temperature in degrees Celsius is 165

Other Questions
Hiiioo! Can someone please help:D HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :) Simplify 2 (csc ^2 0-cot^2 0). solve the equation 2x^2+8x-1=0by completing the square. give answer to 2 decimal places Add and subtract the following fractions. Remember to find the LCD first.1. 1/2 + 1/32. 1/6 + 1/8 + 1/33. 4/11 + 5/22 + 3/444. 3/4 - 3/85. 11/15 - 3/5 1+1=?,Plz Helppp meeeeeeeeeeeeeeeeeee Which of the following statements defines wave energy?-the conversion of kinetic energy created by the movement of gasses into a useful form of energy-any natural resource that cannot be replaced in a reasonable amount of time-the conversion of kinetic energy created by moving waves into a source of energy-kinetic energy caused by the movement of particles at the atomic level of which the sun is the ultimate source on the planet Assume Nortel Networks contracted to provide a customer with Internet infrastructure for $2,250,000. The project began in 2021 and was completed in 2022. Data relating to the contract are summarized below: 2018 2019Costs incurred during the year $300,000 $1575,000Estimated costs to complete as of 12/31 1,200,000 0Billings during the year 380,000 1,620,000 Cash collections during the year 250,000 1,750,000Required:a. Compute the amount of revenue and gross profit or loss to be recognized in 2018 and 2019 assuming Nortel recognizes revenue over time according to percentage of completion.b. Compute the amount of revenue and gross profit or loss to be recognized in 2018 and 2019 assuming this project does not qualify for revenue recognition over time.c. Prepare a partial balance sheet to show how the information related to this contract would be presented at the end of 2018 assuming Nortel recognizes revenue over time according to percentage of completion.d. Prepare a partial balance sheet to show how the information related to this contract would be presented at the end of 2018 assuming this project does not qualify for revenue recognition over time. Find the area of the sector MAG in terms of Pi and approximate to the nearest hundredth What the correct answer question jake plays baseball with two wooden bat one made from hickory and one made from white ash what is the weight of the white ash if his hikory bat weght 32.4 ounse and both bat togethere weight 64.33 Austin checks the temperature at 10:00 p.m. He notices if the temperaturefalls by 5 more degrees, it will break the record-low temperature for that date,which is 26 degrees.If t = the temperature in degrees at 10:00 p.m., which mathematical sentenceexpresses the information above?O A. t-5 < 26B. t+ 5 < 26O C. -5 > 26O D. t+5 > 26 Pls help as fast as possible!! if you read the article and answer the questions I will give you brain list estimate 38.6+4.3 to the nearest 10 Can someone help me answer this please (Monohybrid Crosses) A,B,or C............ how does the House of Representatives differ from the Senate ? a the house is part of the legislative branch, but the Senate is part of the executive branch be the house has different numbers of members per state but the Senate has an equal number of members per state c the house makes laws but the senator proves loss d members of the House are elected members of the Senate are chosen by the president This past winter, 643 flamingos migrated to Gordon Lake. A researcher states that the number of flamingos migrating to the lake is decreasing by 12 birds every year. Which of the following represents the number of flamingos, n, that will migrate to the lake t winters from last winter if the researchers trend continues? A. t = 643 - 12n B. n = 643 - 12t C. t = 12 - 643n D. n = 12 - 643t What is important to remember when concluding a speech? Select all that apply.Be sure to end with an apology.Remember when to end...do not rambleYou may use humor, but use it with extreme caution.Do not end with an irrelevant comment.Do not end with a trite (overused) saying or clause.Do not summarize what you have already said or the audience will be bored.