In the function f(x) = (x^2 -6x + ___) + 20, what number belongs in the blank to complete the square?

Answers

Answer 1

Answer:

blank = -11

Step-by-step explanation:

The given function is :

[tex]f(x) = (x^2 -6x+x)+20[/tex]

We need to find the number x such that it forms the complete square.

If x = -11, then it will becomes,

[tex]f(x) = (x^2 -6x+(-11))+20\\\\f(x)=x^2-6x+9[/tex]

We can write it as follows :

[tex]f(x)=x^2-2(1)(3x)+(3)^2[/tex] ..(1)

We know that,

[tex](a-b)^2=a^2-2ab+b^2[/tex] ...(2)

Comparing (1) and (2).

[tex]f(x)=(x-3)^2[/tex]

So, if we put the blank equals -11, then it will become the perfect square.


Related Questions

Help me plssssssssssa

Answers

Answer:

D.

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Noor, Layla, and Diego play a trivia game. Noor’s score is -2. Layla’s score is 3/4 of Noor’s score. Diego’s score is 2/3 of Layla’s score. What is Diego’s score?

Answers

Answer:

layla is savege score in mobile legends and diego's score in ml is 20

If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3

Answers

Answer:

10

Step-by-step explanation:

Answer:

2x=10

Step-by-step explanation:

Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.

Answers

Answer:

2.25 m/s

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

Let's calculate this, use points C(4,3), D(12,12)

(12 - 3)/(12 - 8) = 9/4 = 2.25 m/s

Use the slope formula to find the slope between the given two points. (2, 1) and (8, 9)

Answers

Answer:

if the two points are known. 4/3 or 1.333

P and q are points on the line y=2-4X

Draw the line y= 2-4X for vales of x from -2 to 2

Answers

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

It is due at 1:45 plz help

Answers

The answer is pink because the lines are parallel, parallel lines have no solution to the system.

Hope this helps :)

How do I do this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 5

Step-by-step explanation:

39° + 90° + (7x + 16)° = 180°

39 + 90 = 129

180 - 129 = 51

7x + 16 = 51

7x + 16 - 16 = 51 - 16

7x = 35

7x/7 = 35/7

x = 5

What is 123x264 answer fast

Answers

Answer:

theres something call a calculator but anyways lol the answer is 32472

Answer:

32,472 is the correct answer

Round the numbers to the nearest 1000
4682
123361
56500

Answers

Answer:

a) 5000

b) 123000

c) 57000


8,502,000,000,000
in scientific notation

Answers

Answer:

are you supposed to do math

6 Which expression below has a coefficient of 3?
A. 5x + 9
B. 2x-3
C. 28? + 3x – 6
gx+4
( IS IT A. B. C. or D.?)

Answers

option c is the correct cofficient of 3

Option c is the correct answer choice

how to find the surface area of a triangular prism

Answers

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

Which function has a domain of all real numbers?

Answers

Answer:

C

Step-by-step explanation:

This is totally wrong lol

Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?

Answers

If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

Ratio for 30 Servings

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]

Using the ratio for 0.45 oz of yeast,

[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]

[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Ratio for 90 Servings

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]

Using the ratio for 720 oz of flour,

[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]

[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Learn more about Ratio:

https://brainly.com/question/1504221

Plsssssss help meeeeeeeeeeeee I need help

Answers

Answer:

honestly I think its QT

Step-by-step explanation:

hope it helps

Write a quadratic function to model the graph. Please help!!

Answers

Answer:

80 because that you need to work on

2y - x = -8
Put it in line slope-intercept simplifying all fractions

Answers

2y-x=-8
2y=x-8
y=1/2x-4 is the slope intercept form

#6
6. Which expression is equivalent to
7(k + 3) - 18?
A. 7.k+7.3 - 7. 18
B. 7.k+7.3 - 18
C. 7.k+3 - 18
D. None of these

Answers

Answer:

B. 7.k+7.3-18

Step-by-step explanation:

Distributive Property,

7 (k+3) = 7 x k + 7x 3

B. 7.k+7.3 - 18 ......

someone please help!!

Answers

The answer is 430.05. The formula is r^2pi

Answer:

c. the circumference is equal to 2 * pi * 11.7

73.51

d. r= c/2pi

In AUVW, the measure of ZW=90°, VU = 65, UW = 33, and
WV = 56. What ratio represents the tangent of ZU?

Answers

Answer: 56/33

Step-by-step explanation:

a num

A retailer purchased a photocopy machine for Rs 1.60,000 from a dealer. Helshe

spent Rs 2,500 for transportation and Rs 1,500 for the local tax. If he/she sold it at
a profit of Rs 6,000 to a customer, how much did the customer pay for it with 13%
VAT?

b number

A supplier sold a machine levying 13% VAT on Rs 3,20,000 to a retailer. The

retailer spent Rs 10,000 for transportation and Rs 5,000 for the local tax. If the
retailer sold it at a profit of Rs 15,000 to a customer, how much did the customer
pay for the machine with 13% VAT?​

Answers

Answer:

answer is rs 192100ra 395500

EASY ALGEBRA! HELP PLEASEEE <3

Fill in the blank with a number to make the expression a perfect square.

v²-14v+__

(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!

Answers

v^2-14v+_49_
2v-14v+49(combine like terms)
12v+49
V=61
I hope its right

Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!

Answers

There are 16800 grams :)

Answer: the answer I’m is 16,800

Step-by-step explanation:

To find the number of kg you multiply the number by 1,000.

16.8*1,000=16,800

Find the scale factor

Answers

Answer:

36/x =48/24

36/x =2

2x= 36

x= 36/2

x=18

for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__

Answers

Answer: 1, 0

Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.

The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

What is a Logarithm base?

It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.

So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

Hence, the above answers are correct.

Learn more about values here: https://brainly.com/question/20347857

What is the square root of X with an exponent of 7?

Answers

Answer:

[tex] {x}^{3} \sqrt{x} [/tex]

Step-by-step explanation:

hope it helps ☺️

suggestions : Photomath application

it will be explained you about how to find solutions.

1. Mr. Jones is correcting math test. Here are the scores for the
first fourteen tests he corrected 62, 65,93, 51, 55, 12,79,
85, 55, 72, 78, 83, 91, and 76. Which score does not seem
to fit the data? Explain how the outlier score affects the
mean and the median of the data.

Answers

Answer:

12

Step-by-step explanation:

12 doesn't fit the data because it is so much farther from the general average of the others.

12 affects the median because with it, the median is 74. but without 12, the median is 76.

12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.

What is the complete factorization of 8x2 − 8x + 2?


A. 2(4x − 1)2

B. 8(x − 1)(x + 1)

C. 2(2x − 1)2

D. 2(x − 2)(x + 2)

Answers

Answer:

Step-by-step explanation:

8x^2 - 8x + 2

2(4x^2 - 4x + 1)

2(2x - 1)(2x - 1) or 2(2x - 1)^2

answer is C

The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

What is factorization ?

Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.

We have,

[tex]8x^2 - 8x + 2[/tex]

Using the mid term splitting method;

[tex]=8x^2-4x-4x+2[/tex]

[tex]=4x(2x-1)-2(2x-1)[/tex]

[tex]=(4x-2)(2x-1)[/tex]

[tex]=2(2x-1)(2x-1)[/tex]

[tex]=2(2x-1)^2[/tex]

So, the factorization of the given expression is given in option [tex](c)[/tex]  i.e.   [tex]2(2x-1)^2[/tex] .

Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

To know more about factorization click here

https://brainly.com/question/11994062

#SPJ2

Writing Equations of Lines

Answers

Answer:

Please leave more information.

Step-by-step explanation:

Other Questions
Match each fact to a related opinionBaseball and soccer are team sportsIt is so much fun to play baseballThere is a 90% chance of snowtodayPoodles make great petsA poodle is a type of dogStrawberries make a deliciousdessertRipe strawberries are redEveryone hates it when it snows Check the correct category for each of the following items. Note: for purposes of this exercise, consider cash in and out for this couple regardless of whether the item is for personal or business use. Cash In/Income Cash Out/Expense Cost of business trip State tax liability Clothing purchases Once expenses have been identified, they can be categorized as either fixed expenses or variable expenses. For example, your mortgage would be considered a expense, because . Conversely, grocery bills would be considered , because the actual amount is when employees use their resources wisely and exceed their daily and weekly goals, they are being : budgeted, productive, confidential, or managed HELP 50 POINTS!!After the attacks of September 11, 2001, the government attempted to set up a new system ofhomeland security. Part of this effort included a system of five color-coded threat levels designed toshow the risk of a new attack. How effective are current government approaches in protectingAmericans from an attack? Explain your answer. PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)- 16t2 + 50t + 3 feet after t seconds.Part A: What is the average rate of change for h(t) between t= 0 and t = 2?A.36 Seconds per secondseconds per secondB.-36 feet per second C.-18 seconds per secondD.18 feet per second What was the opinion of Congress concerning the two presidential plansfor reconstruction?A.The presidential plans were fair to both the South and the newly freed men. B.The presidential planswere too lenient on the SouthC.The presidential plans were providing too much freedoms to the newly freed men.D.The presidential plans were too harsh on the SouthHelp ASAP The area of rectangle RSTU is 36x2+25x25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU? "the sighing tress" what figurative language Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used 2 pointsA section of a city, especially a thickly populated slum area, inhabitedpredominantly by members of an ethnic or other minority group, often asa result of social pressures or economic hardships. *O delegationO ghettoO Tuberculosis (TB) HELP! Ok so Im doing a breakout room and I dont know how to use the decoder!! So pls decode this for me!My answers are1. D2.C3.B4.D X + 5x - 6 < 12 solve for inequality heres TOBI EVERYONE!!!!!!!!! Cutest dog EVER!!!!!! Whats 9+45? Select the most accurate paraphrase. Fra. Girolamo Savonarola warned about the dangers of art and music. Fra. Girolamo Savonarola talked of evils while living in S. Marco as he preached to the people. Fra. Girolamo Savonarola lived in S. Marco. Fra. Girolamo Savonarola lived in S. Marco and warned of the dangers of imagery, music, and texts that could tempt people. I had to show a screenshot of this because brainly thinks it detects a bad wordwhich statements describe kinetic and potential energy? check all that apply. Help me please.......... What is the slope of the graphed line? What is the perimeter In each row, checkbox under the compound that can reasonably be expected to be more acidic in aqueous solution, e.g have the larger KaH SO H SO H PO H POHCH SO HCHCO Is water a reactant or product?