Write the quadratic equation that has roots (-1-square root 2)/3 and (-1+square root 2)/3 if its coefficient with x^2 is equal to... 1

Answers

Answer 1

9514 1404 393

Answer:

  x² +2/3x -1/9 = 0

Step-by-step explanation:

The quadratic with roots p and q can be written as ...

  (x -p)(x -q) = 0

  x² -(p+q)x +pq = 0

For p=(-1-√2)/3 and q=(-1+√2)/3, we have ...

  p +q = (-1-√2)/3 +(-1+√2)/3 = -2/3

  pq = ((-1-√2)/3)((-1+√2)/3) = (1 -2)/9 = -1/9

Then the quadratic is ...

  x² +2/3x -1/9 = 0


Related Questions

The odds against the horse Bucksnot winning the race are 1:9. What is the probability that Bucksnot will win the race?

Answers

The probability Bucksnot will win the race is 11%

Help me with this please

Answers

Answer:

24 cubes

Step-by-step explanation:

24 cubes ::::::::::::/:/:):):):):/:

Please help
I need help creating a table of values for this equation

Answers

First you do -5t squared, you do -5*-5 to get positive 25t and add it to 25t to get 50t and 2. In order to get the answer you have to divide 50 by 2 since 2 needs to also get rid of, so 50/2=25t! So t=25

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I like to let a graphing calculator or spreadsheet do repetitive calculations. It is well worth the few minutes it takes to learn how to enter a formula into any of the available free spreadsheet programs. The Desmos graphing calculator is amazing in its versatility and usefulness.

There are a couple of things that can help make it easier to construct a table of values.

1) recognize the axis of symmetry for this quadratic is ...

  x = -b/(2a) = -25/(2(-5)) = 2.5

So, choosing numbers either side of t=2.5 will cut your work in half.

  h(2) = h(3)

  h(1) = h(4) . . . for example

2) use Horner form to make manual evaluation easier.

  h = (-5t +25)t +2  or  = (5 -t)(5t) +2

__

Attached is a table of values, and their plot on a graph.

Review the table showing the height of water in a pier.
Which function best models this data?
Time (Hours)
Height (Feet)

y=1+0.69e-0.96x
y = 15.2 + 0.98 In x
y=-0.01x2 +0.3x + 15.4
y=-2.4 sin(-0.5x + 20.4) + 16.5

Answers

y=15.2 + 0.98 in x would be the correct response answer . because as per checking the data graph the number can obviously be seen to answer the question

3) If f(x)=-6x+16, then calculate f(1).
4)If f(x)=(x+6)(x−3)/(x−2), then calculate f(5). Round answers to two decimal places.
5) If f(x)=3x+2, then calculate f(2).

Answers

Answer:

F(1)=-6(1)+16=10

F(5)=(5+6)(5-3)/(5-2)=11*2/3=22/3=7.33

F(2)=3*2+2=8

A truck gets 15 miles per gallon. A trip distance is 626 miles. Gas cost is $3.20. How much will it cost to make this trip?

Answers

Answer:

133.43

Step-by-step explanation:

First, determine the number of gallons needed

Take the miles and divide by the miles per gallon

626 / 15 =41.7333 gallons

Take the number of gallons and multiply by the cost per gallon

41.7333 * 3.20

133.42666666

Rounding to the nearest cent

133.43

The fraction a/b is in simplest terms and equal to the following:((2020^3)-1)/((2021^3)+1) . What is a + b?

Answers

Consider the expression

[tex]\dfrac{x^3-1}{(x+1)^3+1}[/tex]

Factorize the numerator and denominator a difference/sum of cubes:

[tex]\dfrac{(x-1)(x^2+x+1)}{((x+1)+1)((x+1)^2-(x+1)+1)}[/tex]

Expand the denominator:

[tex]\dfrac{(x-1)(x^2+x+1)}{(x+2)((x^2+2x+1)-(x+1)+1)}=\dfrac{(x-1)(x^2+x+1)}{(x+2)(x^2+x+1)}=\dfrac{x-1}{x+2}[/tex]

since x = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of x ² + x + 1. This leaves us with

[tex]\dfrac{2020^3-1}{2021^3+1} = \dfrac{2020-1}{2020+2} = \dfrac{2019}{2022}=\dfrac{673}{674}=\dfrac ab[/tex]

so that a + b = 673 + 674 = 1347.

The weight of an object above the surface of the earth varies inversely with the square of its distance to the center of the earth. If an object weighs 50 pounds when it is 3960 miles from the center of the earth, what would its weight be when it is 3975 miles from the center of the earth?

Answers

Answer:

W = K m / R^2    expresses weight of ojject

W2 / W1 = (R1 / R2)^2        ratio of W2 to W1

W2 = W1 * (3960 / 3975)^2 = 50 * .992 = 49.62 lbs

ilang numbers discs na 1000 ang 4679

Answers

Answer:

The answer is 4..apat na 1000

Step-by-step explanation:

What is the distance between -12 and 3

Answers

15 units because I need to have

please help will give brainlist out

Answers

Answer:

acef

Step-by-step explanation:

-4+9=5

-(-8)=8

-3×(-4)=12

abs value of any number is positive

7-9
-10-4
-7-8
-20-(-5)

Answers

Answer:

-2, -14, - 15, - 15

Step-by-step explanation:

7 - 9 = -2

-10 - 4 = -14

-7 - 8 = -15

-20 - (-5) = -15

PLEASE ANSWER!! WILL MARK BRAINLIEST

Answers

Answer :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ[tex]\bigstar\boxed{\large\bf{\leadsto -\dfrac{28}{9}}}[/tex]

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Calculation :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-1}{3}-\dfrac{1}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-2-1}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-3}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼\dfrac{14}{9}\times -2}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼\dfrac{-28}{9}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Finding the Scale Factor and Finding a Dilated Figure

Answers

Answer:

#1

The scale factor of triangle:

k = 1/2

The scale factor of trapezoid:

k = 6/3 = 2#2

See the picture for the dilated triangle

One question !! 20 points

Answers

Answer:

it's 10points bro not 20

1. Mary went to the local market to purchase some fruit. Each box of oranges sold for $3 and each box of pears for $5. Mary purchased a total of 18 boxes of fruit for $68. How many boxes of oranges did she purchase? *
a. 5
b. 7
c. 9
d. 11
e. 16

Answers

Answer:

11 boxes of oranges

Step-by-step explanation:

o*$3 + p * $5 = $68

o+p = 18

o=18-p

54-3p + 5p = 68

2p = 14

p=7

o=11

4 Twice the sum of two numbers is 36. If one of the numbers is 10, Twenty years from now, I will be 4 times as old as my present age. What is my present age​

Answers

Answer:

7

Step-by-step explanation:

The sum of the two number is 10 + x, which when doubled equals 36. Divide the 36/2, which gets to 18. Move the 10 to the other side which gets 18-10 to get 8. 20 years from now, so add 20. 20+8 is 28. 4 times my present age. So do the inverse and you will get 28/4 which equals 7. You're present age is 7.

Find the height of the parallelogram shown below, if the area is 2600 unit.

Answers

Answer:

Im sorry yo my answer ineed point and i ask a question thnks:(

Sarah earns $3.25 an hour stuffing envelopes. Write a rule to describe how the amount of money, m, earned is a function of the number of hours, h, spent stuffing envelopes.

Answers

Answer is 3.25h = m
That’s because Sarah’s earning 3.25 per hour so if you want to figure out how much money she’s making you can just substitute your value for h. Pls mark brainliest if possible, have a nice day

Translate the algebraic expression
-16
into words. Select all that apply.
n
Vx
The difference of -16 and a number
The quotient of -16 and a number
O A number divided by -16
Negative 16 divided by a number
The quotient of a number and 16

Answers

Answer:

The idea behind correct deciphering of word problems is correct understanding of the words used in the question. Both literally and mathematically. “More than” implies that something is greater than something in a literal sense. In mathematics, “a” is “more than” “b”, would be written as a>ba>b. Here even the verb, “is” plays an important role in the formation of the mathematical expression. For example, “a is more than b” means a>ba>b and “a more than b” means a+ba+b.

Answer:B The quotient of –16 and a number
D Negative 16 divided by a number
Step-by-step explanation: Hope this helps

5 million 4thousand 3 hundred in standard form?

Answers

its 5,004,300

sorry for the wrong answer at first i read it wrong

the table shows sales data for two sales people at a car dealership. Use rates to compare the performances of the salespeople.


Answers

9514 1404 393

Answer:

  sales person A demonstrates better performance in all of the ratios we computed

Step-by-step explanation:

A: sales per attempt = $3.3M/167 ≈ $19.8k

  sale value per sale made = $3.3M/109 ≈ $30.3k

  sales made per attempt = 109/167 ≈ 65%

__

B: sales per attempt = $2.7M/163 ≈ $16.6k

  sale value per sale made = $2.7M/97 ≈ $27.8k

  sales made per attempt = 97/163 ≈ 60%

adwadasdawda pls help

Answers

Answer:

An equation is 92 + 2x = 180.

The congruent angles each measure 44°.

Step-by-step explanation:

1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.

2. To find the measure of each congruent angle, x, we have to solve the equation above.

Step 1: Simplify both sides of the equation.

[tex]2x + 92 = 180[/tex]

Step 2: Subtract 92 from both sides.

[tex]2x + 92 - 92 = 180 - 92[/tex] [tex]2x = 88[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{88}{2}[/tex] [tex]x = 44[/tex]

x = 44 means that the congruent angles each measure 44°.

Answer: 92+2x=180

Step-by-step explanation:

180-92=88

88/2 = 44

x=44

diameter of a circle measures 8 cm. What is the circumference of the circle?

Answers

The circumference of the circle is 25.13 cm. To find the circumference of a circle with its diameter, you multiply the diameter by pi (3.14)

An item is regularly price at $61. Latoya bought it at a discount of 45% off the regular price.
find out how much Latoya paid

Answers

Answer:

$33.55

Step-by-step explanation:

100-45=55

61 x .55 = $33.55

Let G be the event that a randomly chosen employee of a restaurant is a General Manager. Let S be the event that a randomly chosen employee of a restaurant works at a seafood restaurant. Identify the answer which expresses the following with correct notation: Given that the employee is a General Manager, the probability that a randomly chosen employee of a restaurant works at a seafood restaurant.

Answers

Using conditional probability, the expression is given by:

P(S|G)

Conditional probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Is a general manager, thus [tex]A = G[/tex].Probability of working at a seafood restaurant, thus [tex]B = G[/tex]

Then, the conditional expression is:

P(S|G)

A similar problem is given at https://brainly.com/question/24161830


Which statement is true?

1) The slope of Function A is
greater than the slope of
Function B.

2) The slope of function A is less than the slope of function B.

Answers

B because the slope just make sense

Compare the following values by correctly placing them on the number line.
0
010
0.875
50%
16

Answers

3/8 = .375
50% and 4/16 = .25
3/4 = .75
0.875

Pls help I’ll brainlest ASAP

Answers

So, and, but, but, or, nor, so. Im pretty sure this is correct.

Select the equation that has a y-interception value of 3.
The answers can only be clicked once so please do not put ‘or’ . BRAINELIST will be given! Answer A & B please

Answers

Answer:

For the first question it's D.

For the second one it's C.

Step-by-step explanation:

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