x2 + 8x + 19 = 0 What is the equivilent that results from completing the square?

Answers

Answer 1

Answer:

[tex](x+4)^2+3=0[/tex]

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: [tex]ax^2+bx+c[/tex]

So order to complete the square, you need to take the [tex]b[/tex] term out of the equation, divide it by two, and then square it

In this case, the [tex]b[/tex] term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

[tex]x^2+8x+16+19=16[/tex]

Now you can simplify the LHS

[tex](x+4)^2 +19=16[/tex]

Now you subtract 16 from both sides

[tex](x+4)^2+3=0[/tex]

So this is as far as you can go since you cannot take the square root of a negative number


Related Questions

A rhomboid-shaped field has a base of 178 meters and a height of 4.5 decameters. This year the field produced an average of 20 kilograms of potatoes per square decameter. How many megagrams of potatoes are made in all?

Need step by step explanation + I’ll give brainliest. This is due tmr and I only have 1 hours left.

Answers

178 + 20 = 198 x 4.5 = 892

. Emmanuel measures the number of hours he sleeps throughout the week.

Answers

Answer:

Incomplete question

Step-by-step explanation:

-------------------

If Mary divides one third of a pound of coconut equally between 8 desserts, how much goes into each dessert?

Answers

Answer:

2/3 ounces

Step-by-step explanation:

one pound is 16 ounces

1/3 of 16 ounces is 16/3

(16/3) ÷ 8 = (16/3) * (1/8) = 2/3

Number two please! Simplify. Also please explain.

Answers

Answer:

2x−15

7x+10

Step-by-step explanation:

3x squared cancels out then you are left with

6x-45

21x+30

then you simplify and get  2x-15

                                            7x+10

Alana only has $56. 47 saved for college. Brainstorm possible reasons why she has only managed to save this

amount.

Answers

Answer:

she's broke.

Step-by-step explanation:

What is the equation of a line if slope= -5 and y-intercept = 1 ​

Answers

Answer:

y= -5x + 1

Step-by-step explanation:

the equation of a line is y=mx + b

m= the slope

b= the y-intercept

I need help pleaseee:)

Answers

Answer:

Step-by-step explanation:

Perimeter = sum of all sides

Rectangular garden:

Perimeter = x + 2 + x + 1 + x + 2 + x + 1

                = x +x + x +x + 2 + 1 +  2+ 1

                = 4x + 6

Triangle shape garden:

Perimeter = 2x + 1  + x + 2 + x +3

                 = 2x + x + x + 1 + 2 + 3

                 = 4x + 6

b)  x value will be all whole numbers

x = {0,1,2,3,..........}

Which shows one way to determine the factors of x3 5x2 – 6x – 30 by grouping? x(x2 – 5) 6(x2 – 5) x(x2 5) – 6(x2 5) x2(x – 5) 6(x – 5) x2(x 5) – 6(x 5)

Answers

Answer:

x(x2 + 5) - 6(x2 + 5)

Step-by-step explanation:

hope it help! :D

Answer:

D

Step-by-step explanation:

took test on edg

Please help me with this problem, I’ll mark you as Brainly!

Answers

x > 1, the values of x have to be lower than 1

What is the answer? Do I add?

Answers

Answer:

55.845

Step-by-step explanation:

This month: 23.61

Last month: 23.61 + 8.625 = 32.235

total number of miles: 23.61 + 32.235 = 55.845

Find the value of x.
4(x - 12)= -8

Answers

Answer:

10

Step-by-step explanation:

First distribute: 4x-48 = -8

Isolate the variable: 4x= -8+48; 4x=40; 4x/4=40/4

Solve: x=10

                                 

Emily and Jennifer are playing a game with dice. Each one has a die. If each one rolls one and the sum of the numbers are 7 or 11 they win. If the sum is 2, 3 or 12 they lose. If it is any other number there is no winner or loser.
Find the sample space by either creating a tree or a chart/table. (remember, each die has the numbers 1-6 on it).
Then find:
P (they win - if the sum is 7 or 11)
P (they lose - if the sum is 2, 3 or 12)
The total sample space. HINT: How many total possible combinations?

wrong answers and links will be reported. /srs

Answers

For 7 or 11

S={(1,6),(2,5),(5,2),(6,1),(3,4),(4,3),(6,5),(5,6)}

For 2,3 and 12

S={(1,1),(1,2),(2,1),(6,6)}

Total:-

8 elements in sample space

Answer:

**Please see attached for the sample space**

The winning combinations are highlighted in green.The losing combinations are highlighted in red.

From inspection of the sample space:

Total number of ways the sum is 7 or 11 (win) = 8Total number of ways the sum is 2, 3 or 12 (lose) = 4Total number of possible outcomes = 36

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\sf \implies P(win)= \dfrac{8}{36}=\dfrac29[/tex]

[tex]\sf \implies P(lose)= \dfrac{4}{36}=\dfrac19[/tex]

After the introductory period, all consumers who have this Platinum Card will. *


1. Pay the same A. P. R.

2. Qualify for an A. P. R. Based on their creditworthiness

3. Pay the Penalty A. P. R. Of 30. 24%

4. Be charged an Annual Fee

Answers

Answer:

Qualify for an A.P.R. based on their creditworthiness

Step-by-step explanation:

After the introductory period is over you will be set a new APR

The wholesale price for a shirt is $3.50 . A certain department store marks up the wholesale price by 90 %. Find the price of the shirt in the department store.

Answers

Answer: $6.65

Step-by-step explanation:

The price of the shirt in the department store = wholesale price + 90% of wholesale price

= 3.50 + (3.50*90)/100

= 3.50 + 3.15

= 6.65

Therefore, the price of the shirt is $6.65

What is the best strategy for reading classic poetry with lots of words you don't know?


A. Look up each unknown words in a dictionary.

B. Form a study group to figure out what the strange words mean.

C. Ask your teacher for the definitions of unfamiliar words.

D. Use context clues to guess at the meanings of unknown words.

Answers

Answer:

D.

Step-by-step explanation:

Use context clues to guess at the meanings of unknown words.

Answer:

D

Step-by-step explanation: you have to use context clues to look up words because it improves your reading skills

The product of a binomial and a trinomial is x 3 3 x 2 − x 2 x 2 6 x − 2. which expression is equivalent to this product after it has been fully simplified? x3 5x2 5x – 2 x3 2x2 8x – 2 x3 11x2 – 2 x3 10x2 – 2

Answers

The polynomial in simple form is written as x³ + 5x² + 5x – 2. Then the correct option is A.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. The variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial is given below.

x³ + 3x² – x + 2x² + 6x – 2

Then we have

x³ + 5x² + 5x – 2

More about the polynomial link is given below.

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For a repeated-measures study, a small variance for the difference scores indicates that the treatment effect is consistent across participants.
A. True
B. False

Answers

The statement that a small variance for the difference scores implies that the treatment effect is consistent is true

How to determine the truth value of the statement?

The variance of a dataset is used to measure the spread and the average squared deviations from the mean of the dataset.

The smaller the variance of a repeated study, the closer the dataset set are from the mean of the dataset.

This means that a small variance indicates a consistent data

Hence, the given statement is true

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Consider a single spin of the spinner. a spinner contains 4 equal sections: 1, 2, 4 and 3. sections 1 and 4 are shaded. the spinner is pointed at number 2. which events are mutually exclusive? select two options. landing on a shaded portion and landing on an even number landing on a shaded portion and landing on a number greater than 3 landing on a shaded portion and landing on a 3 landing on an unshaded portion and landing on an odd number landing on an unshaded portion and landing on a number less than 2

Answers

Events that mutually exclusive are 1. Landing on a shaded portion and landing on a 3.2. Landing on an unshaded portion and landing on a number less than 2.

What is Mutually exclusive events?

Mutually exclusive events mean the events will have no intersection.

The two are options correct

1. Landing on a shaded portion and landing on a 3.

2. Landing on an unshaded portion and landing on a number

less than 2.

The explanation for 1:

Landing on a shaded portion means landing on 1 or 4.

Landing on 3 is not possible and it will be only on 3. So, these events have no intersection.

The explanation for second

Landing on an unshaded portion means landing on either 2 or 3.  And landing on a number less than 2 means landing on 1.

There is no intersection.

So, these events are mutually exclusive.

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Answer:

The answer above is correct! It is C and E. Hope this helps!

Step-by-step explanation:

An online Paul asked do you believe the Loch Ness monster exist? Among 20242 Responses 69% where yes. Use a 0.10 significance level to the test the claim that most people believe that the Loch Ness monster exist how is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond

Answers

Answer:

yes I do belive in the loch Ness monster as it has been seen before

Theresa uses a unique box in the shape of a trapezoidal prism for her specialty candles. The area of the base of the box for the smaller candle is 125 cm2 and the box is 12 cm tall. The box used for the larger candle has a base whose area is 160% that of the smaller box, and it is 6 centimeters taller.
What percent of the volume of the smaller box is the volume of the larger box?
Answer:

Answers

The volume of the larger box is 240% that of the volume of the smaller box.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables

Volume of smaller box = area of base * height = 125 cm² * 12 cm = 1500 cm³

Volume of larger box = area of base * height = (1.6 * 125 cm²) * (12 + 6) cm = 3600 cm³

Ratio of volume = 3600/1500 = 2.4 = 240%

The volume of the larger box is 240% that of the volume of the smaller box.

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which type of doctor treats the largest range of alignments

A: anesthesiologist
B: neurologist
C: pediatrician
D: psychiatrist

Answers

Answer:

The answer is C. Pediatrician

Step-by-step explanation:

They are trained to diagnose and treat all kind of minor health problem to serious illness in children.

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true? The graph of the function is positive on (2, 4). The graph of the function is negative on (4, negative infinity). The graph of the function is positive on (negative infinity, –7). The graph of the function is negative on (–7, –1).

Answers

Answer:

The graph of the function is positive on (negative infinity, –7)

Step-by-step explanation:

Reason: f(-8)= 840,000a

840,000a is a positive number

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When looking for the domain of a graph, what values are you looking for?

Answers

Answer: you are looking for the x value

Step-by-step explanation: the domain is the answer on the x intercept

How many 6-digit numbers are there in all?
(Kindly explain the answer as well, if u don't know the explanation, then don't answer) (no offense meant)

Answers

Answer:

900,000

Step-by-step explanation:

you subtract smallest 7 digit number 1,000,000

by the smallest 6 digit number which is 100,000

1,000,000 minus 100,000 which is 900,000

cuemath

Maths Doubt

i need the answer or i will fail i don´t want to fail
show all work

Answers

It is 5! you do 35 divided by 5 it is 7

Zara is shopping at a furniture store with a budget of $1,500
$
1
,
500
to buy a sofa and a coffee table.
She wants to buy a sofa for $924
$
924
and a coffee table for $640
$
640
.
Zara wants to estimate to see if she has enough money.

Complete the statements.

Answers

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

She wants to buy a sofa for $924 and a coffee table for $640, hence:

Estimated total cost = 924 + 640 = $1564

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

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someone do number 10 i cant do it

Answers

Answer:

263

Step-by-step explanation:

i did this

how many solutions does 3(73x+43)−2x+8=5x+12 have

Answers

Answer:

1

Step-by-step explanation:

The reason is because the equation only has x's and no x^2's

Julia's bedroom is 10 feet by 10 feet. She wants to place a circular rug
in the corner or her room. She places a rug with a radius of 2 feet in her
room. How much of her bedroom floor, in
square feet, is not covered by the rug? Use 3.14
for r. Round to the nearest tenth.

Answers

Answer:

87.4 sq ft   uncovered

Step-by-step explanation:

Total room area     - rug area

  (10 * 10)                - pi (2)^2 =

Which is a better deal per ounce? 24 ounces for $2. 99 or 36 ounces for $4. 99?

Answers

Answer:

24 for 2.99

Step-by-step explanation:

2.99/24 = $0.1245 per ounce
4.99/36  = $0.1386 per ounce

So the 36 cost more per ounce.

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