X^2 - 2x + 6 = 0
Show all work

Answers

Answer 1

Answer:

x= plus or minus 1 plus imaginary root times square root of 5.

Step-by-step explanation:

[tex] {x}^{2} - 2x + 6 = 0[/tex]

Complete the Square.

[tex] {x}^{2} - 2x = - 6[/tex]

[tex] {x}^{2} - 2x + 1 = - 5[/tex]

[tex](x - 1) {}^{2} = - 5[/tex]

[tex]x = + - 1 + i \sqrt{5} [/tex]


Related Questions

need help with this!!

Answers

Answer:

{ 1,3,4,6,7}

Step-by-step explanation:

Do B∩C first

This is B intersect C which  means what they have in common

B∩C = {3,6,7}

Then A∪(B∩C)

A union   {3,6,7} which means join together ( combine with no duplicates) the two sets

{ 1,3,4,6,7}

what is 6^20 / 6^15? please include explanation :)

Answers

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5


Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.

a.) d-22 28; d 50

b.) d - 22 > 28; d > 50

c.) d + 22 s 28; d s 72

d.) d + 22 28; d 272

Answers

Your answer she be letter b

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.  

 

Which expression is equivalent to ((2x²) (3x) (4x)??
A.24x7
B.48x?
C.9677
D.576x12

Answers

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

Can someone help please and thank you

Answers

Answer:

b

Step-by-step explanation:

Which pair of angles are corresponding angles?

Answers

Answer:

angles 3&7

Step-by-step explanation:

Help Now Pleaseee!!!!
Find the volume of the sphere

Answers

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238

if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab

Answers

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

What value of x will make the equation true?

(Square Root of 5) (square root of 5)=x

Answers

Answer:

(2.236067978)(2.236067978)

=5 ans.

If this is incorrect forgive me

I hope this will help you

stay safe

Find P(blue and even).



A. 3/5
B. 1/10
c. 7/10

Answers

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

There are in total 10 blocksThere are in total 2 blue blocksThere are in total 5 even blocks

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

2 + 5 = 7 blocks

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

7 - 1 = 6 blocks

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

6/10 = 3/5

Hope this helps!! :)

Please let me know if you have any questions

The ages of 20 school children are recorded as follows:. 13 19 15 17 13 9 11 9 11 15 17 15 11 9 9 11 15 11 11 11. a. Make a frequency for the data b. What is the modal age c. Calculate. i) The mean age correct to the nearest whole number. ii) The range. d. What is the probability of selecting a child between the ages of 12 and 14​

Answers

Answer:

The modal age is 11

The range is the highest minus the Lowe's which is 19-9=10

The range of a sequence consists of________.

A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers

Answers

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

What is a sequence?

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

brainly.com/question/21961097

#SPJ2

Bob placed a 17- foot ramp against the side of a house so the ramp rested on a ledge that is 8 feet above the ground. How far was the base of the ramp from the house?

Answers

15ft

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
A. 4x3+4x2
B. 4x(x)
C. 4X2 + 1
D. 4(x + 1)

Answers

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°

Answers

Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.

Answers

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

Q 14. Two friends Tina and Reeta simplified two different expressions during the revision
hour and explained toeach other their simplifications,
V2
Tina explains simplification of Torta by rationalising the denominator and Reeta
explains simplifications of (72 + V3) (12 - 13) by using identity,
i)
Vz
By rationalising the denominator of
Tina got
VSV
vz
a)
c) V5 – 13
b) V7(13-va)
d)
Vic+V5)
2
ii)
Reeta apply
a) (a+b)
identity to simplify(V2 + 13) (12 – 73).
b) (a-b)?
c) (x+a) (x+b) d) (a+b)(a-b)
iii)
(12 + V3) (72 - 73) =
a) 5 b) (74 + 6
c) 1
d) -1
iv)
All the rational and irrational numbers make up the collection of
numbers.
a) Whole numbers
b) Integers
b) c) Real Numbers
d) Irrational Numbers

Answers

I really don’t know the answer I’m sorry

Find sin 0
A. 16/20
B. 12/16
C. 12/20
D. 16/12

Answers

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

find the common difference in the linear sequence sequence 69,53,47,30​

Answers

Initial request is certain

What’s the rate of change in this question y=0.860x+3.302

Answers

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

In order for the parallelogram to be a rhombus, x=? (7x+13)º

Answers

Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles

If they create 90 degree angles then 7x + 13 = 90

( Note that we've just created an equation that we can use to solve for x )

We now solve for x algebraically using the equation we created

7x + 13 = 90

Step 1 Subtract 13 from both sides

7x = 77

Divide both sides by 7

x = 11

Anybody knows the answers to the monomial functions ?

Answers

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

help!! need to find the area

Answers

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

please explain this to me.

Answers

Answer:

Equation of line:- y=2x-7

slope(m)=2

slope of parallel line (m)=2

∴ Equation of parallel line:- y=2x+b

it passes through the point (-3,6)

6=2(-3)+b   6+6=b

b=12

∴ y=2x+12

OAmalOHopeO

linesl,mand n are parallel to each other and p is a transversal​

Answers

Answer:  126 degrees

========================================================

Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

what is the measure of m?

Answers

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

“The length of a rectangle is two feet greater than twice its width. If the perimeter is 25 feet, find the width.” Which of the following translations is correct?

Answers

Answer:

b is the answer

Step-by-step explanation:

13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]

We have to try:

0*x²+3*x+7=31

3x=24

x=8

This table shows the relationship of the total number of pieces of fruit to the number of bananas.
Why is StartFraction 6 Over 5 EndFraction not equivalent to Three-halves?

Answers

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].

Solution:

If a, b, c are real numbers, then

[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]

The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:

[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].

Therefore, the correct option is A.

Other Questions
Please explain how you got the answer! PLEASE HELP URGENT!! What is the SI system? What are its benefits? Wolfe Company purchased a truck for $62,000, with an estimated useful life of 8 years and a salvage value of $10,000. The company uses the double-declining-balance method of depreciation; however, after year 3 they switch to the straight-line method. There is no change to the estimated useful life or salvage value. What is the accumulated depreciation balance at the end of year 5 (round to the nearest dollar) Which phrase is the best definition of the word technology, in the narrowsense?O A. Tools and their useO B. Exchange of new ideasO C. Fast communicationO D. Better ways to do things Which of the following is a feature of beaches?A. BermsB. RunnelsC. All of theseD. Shingles Which of the following would have a negative impact on your social health?A. looking at your friends' social media posts about vacations they are experiencing while you are stuck at home during spring breakB. eating a large pepperoni pizza and drinking a large soda after having a hard day at workC. going to an age-appropriate movie with your friendsD. choosing to go to the gym when frustrated with one of your classes Solve -9 < 4x + 3 5 19. Which process allows a bacterium to take DNA from its environment and add it to its own genome? The British expedition in 1497 led to the discovery of what is known today as ______________.A) NewfoundlandB) QuebecC) MontrealD) St. Augustine National rights definition A student project is required to be portable and hand held. It requires 6 V DC power at a current of 150 mA. The batteries for the power supply must last for a minimum of 7 hours of continuous operation. NiMH rechargeable batteries in AA size are to be used. A) How many batteries are needed this keeps food and drink cold A concussion is always a minor brain injury without consequences True or false? Which state led the way in public school reform?A.ConnecticutB.MassachusettsC.OhioD.New York Each Friday, the sixth grade students in Mr. Shin's physical education class spend the first five minutes doing crunches. Instead of keeping track of the weekly total number of crunches, Mr. Shin keeps track of how they do compared to the week before, and then records the result as a positive or negative number. Record the number for each of the following:Ben did 10 more crunches this week than last week. What number would Mr. Shin record?Gail did 8 less crunches this week than last week. What number would Mr. Shin record?Nathaniel did the same number of crunches this week as last week. What number would Mr. Shin record?awnser asap effects of low temperature in crop production Give the domain and range of G={(6.0),(-9,-3),(1,-3)} i need help figuring it out holsi quien me ayuda en esto de ingls porfis () El tema es : past simple:affirmative,negative,questions and short answers What sayings or team-bonding games do you know that promote teamwork? Create a list of games and sayings.