Which would be the best method to use to solve the following equation. Explain your reasoning.

Methods:

Factoring
Square root Property
Completing the Square
Quadratic Formula

x^2-x-6=0
Method:
Why:

Answers

Answer 1

Answer:

x = 3 and x = -2

Step-by-step explanation:

The given equation is :

[tex]x^2-x-6=0[/tex]

We need to solve the given equation.

We can solve it using Completing the Square method.

We take two numbers such that their product is -6 and sum is -1.

So,

[tex]x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2[/tex]

so, the values of x are 3 and -2.


Related Questions

Find the missing angle measure in each triangle 29, 88, x || Hurry :)

Answers

Answer:

63

Step-by-step explanation

180-29-88=63

What is the distance between J and K

Answers

Answer:

9 i think

Step-by-step explanation:

i don really know

I need help ASAP 30 points

Answers

Volume = length x width x height

Volume = 1.4 x 1.3 x 3.5 = 6.37 cubic cm

Determine any data values that are missing from the table, assuming that the data represent a linear function.
x y
1 2
2 4
3

a. 7
b. 6
c. 2
d. 8

Answers

B. 6
it multiplies by two

Target sells 12 bottles of water for 2$ and sells 24 bottles for 3$, what is the better price?

Answers

Answer:

The 24 bottles for 3$

Step-by-step explanation:

12 bottles for 2$ x 2

= 24 bottles for 4$

This means the 24 bottles for 3$ is the better price per bottle.

Solve the following

NO BOTS!

Answers

Answer:

75/-3 = -25

Step-by-step explanation:

Numerator: -5^2 + 10^2 = 75

-5^2 = -25, since the minus sign is not in parentheses with the 5, it does not get squared so the negative is added on to five squared which is 25.

10^2 = 100,

-25 + 100 = 75

Denominator: (2 x (-5) x 3) + 3^3 = -3

2 x (-5) x 3 = -30, we can simply multiply these all together so 2 x -5 is -10, and -10 x 3 = -30

3^3 = 27, 3^3 = 3 x 3 x 3, which multiplied all together, 3 x 3 = 9, 9 x 3 = 27

-30 + 27 = -3

Total Fraction = 75/-3  

Simplified = -25

evaluate the piecewise function for h=0. PLEASE HURRY!!! I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!!

Answers

t = 0 belongs to the interval [-3, 3] (since -3 ≤ 0 ≤ 3 is true), so use the middle function to evaluate h (0):

h (0) = 0 × (0 + 4) = 0

What is the relationship between a and b?

Answers

Answer:

Supplementary angle.

Pls mark Brainliest :)

Step-by-step explanation:

What is the measured of bacteria at t=0?​

Answers

Answer:

Number of bacteria when t = 0 is 2,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 0

where t is number of hours

Find:

Number of bacteria when t = 0

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0

Q(0) = 2(729⁰)

We know that;

a⁰ = 1

So,

Q(0) = 2(729⁰)

Q(0) = 2(1)

Q(0) = 2

Number of bacteria when t = 0 is 2,000

PLEASE HELP .........!!!!!!!!!!!!!!!!!!!!!!!!’!!!!

Answers

It goes in the order 3,1,2,4

What is the area of the composite figure?

Answers

Answer:

132ft squared

Step-by-step explanation:

Divide the figure into one rectangle and on triangle. Area of rectangle: 8x12=96

Area of triangle: 9x8/2=36

Add: 96+36=132

Scott paid 10.47 for a 6.08 - kg bag of dog food. A few weeks later, he paid 13.88 for a7.48 -kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.

Step-by-step explanation:

Since Scott paid 10.47 for a 6.08-kg bag of dog food, while a few weeks later, he paid 13.88 for a7.48-kg bag at a different store, to find the unit price for each bag, and then state which bag is the better buy based on the unit price, the following calculation must be performed:

10.47 / 6.08 = X

1.72 = X

13.88 / 7.48 = X

1.85 = X

Thus, Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.

7. Which of the following number has a rational root?
A V322
V324
B. 7323
D. 7325​

Answers

Answer:

Step-by-step explanation:

Prime factorize the number. Only 324 can be factorized.

[tex]\sqrt{324}=\sqrt{2*2*3*3*3*3}=2*3*3=18[/tex] is rational number

Help extra points and mark brainlist

Answers

Answer:

Median is 7

Step-by-step explanation:

Give me brainllest

The numerator that makes the equation true

Answers

The numerator would be 9 because u multiply 3/4 by 3 to get the bottom number to 12 so multiplying 3x3=9

Find the missing term in each sequence

Answers

Answer:

The answer would be 58.32.

Step-by-step explanation:

Good luck ^___^ .

Select the values that are solutions of the inequality X 3<4.

X=4
X=8
X= 12
X= 16
X= 20
X= 24

Answers

Answer:

x=12 if you divide you'll get 4

View the work below from a student last year. What was their mistake? Be detailed in their response.

-3(x + 4) = 2x - 5

-3x + 4 = 2x - 5

4 = 5x - 5

9 = 5x

1.8 = x

Answers

need to distribute -3

-3(x+4)=2x-5
-3x+12=2x-5
-5x=7
x=-7/5 or x=-1 2/5 or x=-1.4

find the missing length

Answers

Number 1. Is 10

Number 2. G-E is 20 and F-E is 10

What is the value of the positive zero of the function defined by x2 + x - 30?

Answers

Answer:

5

Step-by-step explanation:

(x+6)(x-5)

x = 5

x = -6

b)Given 0º < x < 360° , solve for x in:
2 sin (2x - 30°) = √3.​

Answers

Answer:

180°

because x is the mid pf 0° and 360°

HELP please with this

Answers

Answer:

CB = 9

Step-by-step explanation:

To find CB, apply trigonometric function.

Reference angle = 60°

Hypotenuse = 18

Adjacent = CB

Apply CAH:

Cos 60 = Adj/Hyp

Cos 60 = CB/18

Cos 60 × 18 = CB

CB = Cos 60 × 18

CB = 9

Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use to test whether or not the shuffle feature is working correctly

Answers

Answer:

A chi-square goodness-of-fit test

Step-by-step explanation:

GOF test is used to determine if the data meets the expected values.

A chi-square goodness-of-fit test procedure should be used to test whether or not the shuffle feature is working correctly.

What is a distribution?

A distribution includes an algebraic function that calculates the likelihood that long-been-considered outcomes will occur. In the perspective of its population space as well as event probability, it is a schematic representation of random phenomena.

To ascertain regardless of whether the observed sample frequency deviates noticeably from those given in the null hypothesis, should use the chi-square goodness of fit test.

He notes the number of tracks in each classification after listening to 100 songs selected at random while his player is in shuffle mode. One can determine out whether the quality of fit is "good enough" and draw the conclusion that the population matches the distribution by applying the chi-square goodness of fit test.

Learn more about distribution, Here:

https://brainly.com/question/29062095

#SPJ5

Uri’s family has an old shower head. It releases about 5 gallons of water per minute. If Uri takes a 5-minute shower, how much water will she use? Help!

Answers

Answer:

25 gallons

Step-by-step explanation:

5 gallons per minute, 5 minutes, 5, 10, 15, 20, 25. multiple 5 by 5

Answer:

The answer is 25 gallons of water

Step-by-step explanation:

I just took the test and seriously it is correct!

A rectangular auditorium seats 2142 people. The number of seats in each row exceeds the number of rows by 9. Find the number of seats in each row.​

Answers

9514 1404 393

Answer:

  51

Step-by-step explanation:

Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...

  s(s-9) = 2142

  s² -9s +4.5² = 2142 +4.5² . . . . . complete the square

  (s -4.5) = √2162.25 . . . . . . . . take the positive square root

  s = 4.5 +46.5 = 51 . . . . . . . add 4.5

The number of seats in each row is 51.

Mr. Smith is conducting a class raffle. Every 100% on an assignment is an entry into the raffle. Liam has 10 entries, Noah has 3 entries, Oliver has 11 entries, and there are 44 other total entries. What is the probability that Liam will win the raffle? Round your answer to the thousandths place.

Answers

Answer: 0.147

Step-by-step explanation:

Liam / total

total = 10 + 3 + 11 + 44 = 68

10 / 68 = 5 / 34

0.1470588 = 0.147

Given sec A = 5/3 and that angle A is in Quadrant I, find the exact value of csc A in simplest radical form using a rational denominator.​

Answers

9514 1404 393

Answer:

  5/4

Step-by-step explanation:

The relationship between the sec and csc functions is ...

  csc(A) = sec(A)/√(sec²(A) -1)

For the given value of sec(A), this is ...

  csc(A) = (5/3)/√((5/3)² -1) = (5/3)/√(16/9) = (5/3)/(4/3)

  csc(A) = 5/4

__

Some calculators can tell you the answer directly.

What is the value of y in the equation 2(4y - 1) = 6?

A: 0
B: 1
C: 6
D: 8

Answers

Answer:

Step-by-step explanation:

Fist we multiply the values:

2*4y-2*1=6

8y-2=6

8y=6+2

8y=8

y=8:8

y=1

2*4(1)
2*4(1) - 2*1 = 6
Answer = 1

Convert 210° to radian measure in terms of pi​

Answers

Answer:

[tex]210^\circ = \frac{7}{6}\pi[/tex]

Step-by-step explanation:

Given

[tex]\theta = 210^\circ[/tex]

Required

Convert to radians

To convert to radians, we make use of:

[tex]Radians = \theta * \frac{\pi}{180^\circ}[/tex]

Substitute: [tex]\theta = 210^\circ[/tex]

[tex]Radians = 210^\circ* \frac{\pi}{180^\circ}[/tex]

[tex]Radians = \frac{210^\circ* \pi}{180^\circ}[/tex]

Simplify fraction

[tex]Radians = \frac{7\pi}{6}[/tex]

[tex]Radians = \frac{7}{6}\pi[/tex]

Hence:

[tex]210^\circ = \frac{7}{6}\pi[/tex]

A yard contains 16 ounces. 9 ounces is what fraction of a pound?

Answers

9514 1404 393

Answer:

  9/16

Step-by-step explanation:

We presume an error in the problem statement. A yard is a measure of distance, not weight.

A pound contains 16 ounces. Then 9 ounces is 9/16 of a pound.

__

As a decimal fraction, that is 0.5625 lb.

Other Questions
If you know this song you get brainliest!!Listen up now, listen to meMy girls are my fam, my familyStronger in numbers, it's no wonderWatch out world, watch and you'll seeThere's no stopping us and our gangCome back, come back for you like a boomerang (hey!)We fly so highWe fly together (fly together)We are a girl gangLike birds of a feather (birds of a feather)We fly so highWe fly together (fly together)We are a girl gangLike birds of a feather (birds of a feather) Assume that two individuals agree to form a partnership. Partner A is contributing an operating business that reports the following balance sheet: Cash $14,000 Accounts payable $42,000 Receivables 28,000 Accrued liabilities $28,000 Inventories 56,000 Total liabilities $70,000 Total assets $98,000 Net assets $28,000 Partner B is contributing cash of $77,000. The partners agree that the initial capital of the partnership should be shared equally. Prepare the journal entry to record the capital contributions of the partners using both the Bonus Method and the Goodwill Method. Point AAA is at {(-7,5)}(7,5)left parenthesis, minus, 7, comma, 5, right parenthesis and point CCC is at {(5,-1)}(5,1)left parenthesis, 5, comma, minus, 1, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ABABA, B is 555 times as long as BCBCB, C. Pls i need help ASAPPls pls pls i need your help PLEASE HELP ILL GIVE BRANLIEST You are Parvathi/ Praveen, write a letter to the Editor of The Hindu' about frequent breakdown of electricity. The New York Knicks began selling game tickets at 9:00 a.m.In the first hour they sold tickets to 1,280 people.In the second hour they sold 20% more tickets than in the first hour.Each ticket cost $45 dollars.What was the total amount of money paid for all tickets in the first two hours of the sale? Sage Hill Company is negotiating to lease a piece of equipment to MTBA, Inc. MTBA requests that the lease be for 9 years. The equipment has a useful life of 10 years. Sage Hill wants a guarantee that the residual value of the equipment at the end of the lease is at least $4,000. MTBA agrees to guarantee a residual value of this amount though it expects the residual value of the equipment to be only $2,500 at the end of the lease term. If the fair value of the equipment at lease commencement is $100,000, what would be the amount of the annual rental payments Sage Hill demands of MTBA, assuming each payment will be made at the beginning of each year and Sage Hill wishes to earn a rate of return on the lease of 8% State the difference between poultry and poultry keeping first and foremost there was the art of for film Glasses, cameras, flashlights, binoculars, telescopes and peepholes are all made using_lenses.les )) HELP!! no scams or i will report. Can anyone tell me how old this bird is. We found it outside. Can anyone list me all the 8 groups of the periodic table , going in order of course? Why did Mexican migration to the U.S. increase so much during the 1910s & 1920s AND Why did it drop to almost nothing during the 1930s? Paula donate $30 to charity for every hundred dollars last summer she earned $3680 how much money did she donate to charity please help i dont understand Completa el espacio en blanco con la mejor respuesta.Juan necesita ir a ________ para cortarse el pelo. la iglesiala fbricala peluquerala discoteca what is the other name for doldrum Calculate the mean, median, mode, and range for (1, 2, 5, 6, 1, 6, 7)