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

Answers

Answer 1

Step-by-step explanation:

x1+x2 = (-1-√2)/3 + (-1+√2)/3

= -2/3

(x1) (x2) = (-1-√2)/3 × (-1+√2)/3

= -1/9

the equation :

x² -(-2/3)x + (-1/9) = 0

x² + x - 1/9 = 0


Related Questions

Please help !!! Aspen scored no fewer than 18 points in her
last basketball game. She scored 6 points on free
throws that are worth 1 point each. The rest of
the points she scored on 3-point field goals.
Which inequality can be used to
determine, p, the number of 3-point field
goals that Aspen made?

Answers

Inequalities are used to represent unequal expressions.

The inequality is: (c) [tex]\mathbf{3p + 6 \ge 18}[/tex]

The given parameter is:

[tex]\mathbf{Free = 6}[/tex]

Represent the number of 3-point field goals with p.

So, the total number of points is:

[tex]\mathbf{Total = 3 \times p + Free}[/tex]

[tex]\mathbf{Total = 3 p + Free}[/tex]

Substitute 6 for Free

[tex]\mathbf{Total = 3 p + 6}[/tex]

He scored no fewer than 18 points, means that:

He scored 18 or more points

So, the inequality is:

[tex]\mathbf{Total = 3 p + 6 \ge 18}[/tex]

Rewrite as:

[tex]\mathbf{3p + 6 \ge 18}[/tex]

Hence, the correct option is (c)

Read more about inequalities at:

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Jim and his friends went out for dinner at a restaurant and the bill was $68.50 if Jim wants to tip 18% what should the tip be

Answers

Answer:

$12.33

Step-by-step explanation:

Since the bill is $68.50, and Jim wants to tip 18%, it will be $80.83 in total

18% = 0.18

since you don't want to DECREASE the bill, it's 1.18

1.18 x 68.5 = 80.83

hope this helped :)

A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.

How many tickets were purchased for the concert?

Answers

Answer:

107 concert tickets were bought

Step-by-step explanation:

Divide 3,745 by 35 and you will get 107 which is the correct answer.

caroline wants to make cookies to bring to a party. she will need to double the recipe to have enough. how much of each ingrediant will she need. rewrite the recipe so that it will make 4 dozen cookies


recipes:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt

MAKES 2 DOZEN COOKIES

Answers

Answer:

1 1/2 cups of peanut butter

1 cup of vegetable shortening

2 1/2 cups grimly packed light brown sugar

6 tablespoons of milk

5 1/2 teaspoon vanilla extract

2 large eggs

3 cups of flour

1 1/2 teaspoon of baking soda

1/2 teaspoon of salt

Step-by-step explanation:

You just double everything by 2

The ingredients needed to make 4 dozen cookies are written below;

3/2 cup of peanut butter

1 cup vegetable shortening

2½ cups girmly packed light brown sugar

6 tablespoons milk

5½ teaspoon vanilla extract

2 large egg

3 cups flour

3/2 teaspoon baking soda

1/2 teaspoon salt

How much of each ingrediant will she need?

Recipe for 2 dozen cookies:

3/4 cup of peanut butter

1/2 cup vegetable shortening

1 1/4 cups girmly packed light brown sugar

3 tablespoons milk

2 3/4 teaspoon vanilla extract

1 large egg

1 1/2 cups flour

3/4 teaspoon baking soda

1/4 teaspoon salt

Recipe for 4 dozes of cookies: multiply the recipe for 2 dozen by 2

3/4 cup of peanut butter × 2

= 6/4 = 3/2

1/2 cup vegetable shortening × 2

= 2/2 = 1

1 1/4 cups girmly packed light brown sugar × 2

= 5/4 × 2

= 10/4 = 5/2 = 2½

3 tablespoons milk × 2

= 6

2 3/4 teaspoon vanilla extract × 2

= 11/4 × 2 = 22/4

= 11/2 = 5½

1 large egg × 2

= 2

1 1/2 cups flour × 2

= 3/2 × 2

= 6/2 = 3

3/4 teaspoon baking soda × 2

= 6/4 = 3/2

1/4 teaspoon salt × 2

= 2/4

= 1/2

Read more on recipe:

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What is 42893+2432743

Answers

Answer:  

42,893 + 2,432,743 = 2,475,636

, Hope this helps :)

Have a great day!!

Answer:

[tex]\sf 42893+2432743[/tex]

[tex]\sf =2475636[/tex]

A snail glides 4 metres in 2 hours

what is the average speed of the snail in metres/hour?

how far will it glide in 6 hours?

what is the time taken by the snail to glides a distant of 1 metre?​

Answers

Answer:

2 metres per 1 hour

12 metres per 6 hours

30 minutes to glide 1 metre.

Step-by-step explanation:

1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:

4 metres / 2 hours = 2 metres per 1 hour

2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:

6(2 metres per 1 hour) = 12 metres per 6 hours

3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.

Hope this helps :)

what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6

Answers

the correct is 2 Explanation: 1 + 1
LOLYOUR THE FIRST ON WHO I HEARD SAY THAT. SO HAVE TO GIVE YOU, FIVE STARS, AND A LIKE. PLUS A FRIEND REQUEST.

find the equation of perpendicular bisector of the lines with the given word (1,2) and (5,4) ​

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

Slope: (4-2)/5-1) = 2/4 = 1/2

Slope of the perpendicular line: -2

y-intercept: 2 - (-2)(1) = 4

1) There are 44 dogwood trees currently in the park. Park workers will plant more
dogwood trees today. When the workers are finished there will bę 70
dogwood trees in the park. How many dogwood trees did the workers plant today?

Answers

Answer:

26

Step-by-step explanation:

there are already 44 dogwood trees

there will be 70 dogwood trees by the end of the day

we take how many dogwood trees there already are and subtract them from what there will be

70-44=26

2 shops sell luxury chocolates.
Shop A : 200 g for £2.90
Shop B: 150 g for £2.15
Which shop offers the best value for money?

Answers

Answer:

shop b

Step-by-step explanation:

Which of the following equations have infinitely many solutions?
Choose all answers that apply:

A
- 10x - 10 = -10x + 10

B
10x - 10 = -10x - 10

C
- 10x - 10 = -10x - 10

D
10x – 10 = -10x + 10

Answers

Answer:

10

Step-by-step explanation:

that is the answer because its her choice

What is the slope of the line that passes through the points (-4,-2) and (-4,22)

Answers

Answer:

0

Step-by-step explanation:

( x1, y1 ) = ( - 4, - 2 )

Here,

x1 = - 4

y1 = - 2

( x2, y2 ) = ( - 4, 22 )

Here,

x2 = - 4

y2 = 22

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )

= ( 22 + 2 ) / ( - 4 + 4 )

= 24 / 0

= 0

whats the answer for 6x+4y=−12

Answers

The answer is Y=-3/2x-3

Home Find the slope of the roof of a home that rises 8 feet for every horizontal change of 24 feet.

Answers

Answer:

1/3

Step-by-step explanation:

to find slope

m=(vertical distance)/(horizontal distance)

m=8/24

m=1/3

4-2y=-2x in slope intercept form

Answers

Answer:

y=x+2

Step-by-step explanation:

4-2y=-2x

Divide everything by 2.

2-y=-x

Switch to y=mx+b form.

-y=-x-2

Multiply everything by +1.

y=x+2

4+6i=5i-3 can someone please help me solve this equation

Answers

Answer:

42- 2i

Step-by-step explanation:

what is 4/2/3 x 1/3/7 ?

Answers

Answer: 2/63

Step-by-

Answer:

Hello,There! I'll be glad to help!

Question

what is 4/2/3 x 1/3/7 ?

Answer

[tex]6\frac{2}{21}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

[tex]4 +\frac{2}{3} + 1 +\frac{3}{7}[/tex]

Solving the whole number parts

[tex]4 + 1 =5[/tex]

Solving the fraction parts

[tex]\frac{2}{3}+\frac{3}{7} =?[/tex]

Find the LCD of 2/3 and 3/7 and rewrite to solve with the equivalent fractions.

LCD = 21

[tex]\frac{14}{21} +\frac{9}{21} =\frac{23}{21}[/tex]

Simplifying the fraction part, 23/21,

[tex]\frac{23}{21} =1\frac{2}{21}[/tex]

Combining the whole and fraction parts

[tex]5 + 1+ \frac{2}{21} =6\frac{2}{21}[/tex]

Hence, The answer is [tex]6\frac{2}{21}[/tex]

-4(50x-20)=10x+15+23

Answers

Answer:

0.2 or 1/5

Step-by-step explanation:

-4(50x - 20) = 10x + 15 + 23

-200x + 80 = 10x + 38

80 = 210x + 38

42 = 210x

0.2 = x

Hope this helps! Pls give brainliest!

Answer: x = 1/5 or 0.2

Step-by-step explanation:

-4(50x-20)=10x+15+23

-200x +80=10x+38

-80 -80

-200x=10x-42

-10x. -10x

-210x = -42

/-42. /-42

= 5

a) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)

Answers

Answer:

bobo ka ba

Step-by-step explanation:

name!https://youtu.be/vA3qDEMnB5k

Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total. Is Beckett's estimate reasonable? Explain your thinking.

Answers

Beckett’s estimate was incorrect by almost 10 percent; if he was thinking clearly, he would have known that he spent at LEAST $80 in total

Beckett spent $88 in total his estimate of $80 is wrong.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total.

The total spending will be calculated as,

Total = 52 + 36

Total = $88

The estimated spending is $80. Therefore, Beckett spent $88 in total his estimate of $80 is wrong.

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Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line 4x + 3y = 12? Drag and drop each choice into the boxes to correctly complete the table. Parallel Perpendicular Neither

Answers

Step-by-step explanation:

The line given:

4x + 3y = 12, its slope is m = - 4/3

Other lines to compare:

-3x + 4y = 8, the slope is m = 3/4, it is perpendicular line as the product of the slopes is  - 1;4x + 3y = 31, the slope is m = -4/3, same slope but different y- intercept, it is parallel line;3x + 4y = 12, the slope is m = -3/4, it is neither parallel nor perpendicular;-4x + 3y = - 1, the slope is m = 4/3, it is neither parallel nor perpendicular
4x+3y=123y=-4x+12y=-4/3x+12

Slope=m=+4/3

#1

-3x+4y=8

m=3/4

Perpendicular

#2

4x-3y=31

m=-4/3

Parallel

#3

3x+4y=12

m=-3/4

neither

#4

-4x+3y=-1

m=4/3

Neither

the simple interest on $700 for 2 years at 10% is ?​

Answers

Answer:

140

Step-by-step explanation:

∫P=700

∫T=2

∫R=10% after a few calculating you get 140.....the answer is right just sorry for my bad explaining

Wolfman and Dracula we’re having a contest to see who can scare people the most for every three people Dracula scare Wolfman scared seven if Wolfman scared 24 more people how many people were scared and all

Answers

so um i to get a new phone with him to help me with my work schedule and then i i to get my money on my way back from work so i’ll give him my bath now i and i and my mom works at the house for me a few days and i to see if he wants me a friend and 728

Please Answer correctly

Answers

Answer:

I Think 2.

Step-by-step explanation:

If im correct pls give brainliest im tired thx! :D

[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]

[tex]\huge\underline\mathsf\colorbox{white}{2}[/tex]

[tex]\huge\underline\mathtt\colorbox{cyan}{I'm Sure}[/tex]

[tex]\huge\mathsf\colorbox{white}{}[/tex]

Find the value of x that makes p||q

Answers

Answer:

20

Step-by-step explanation:

90-50=40... therefor X must equal 20

Hi I need help with this

Answers

Answer:

well this is going to be long, but

1. 0.625

2. -0.136

3. 1.222

4. -5.075

5. -7.455

6. 4.067

7. -9.111

8. -7.833

9. 17/25

10. -1/100

11. -3 99/100

12. 8 149/200

13. 3 1/200

14. -13 3/250

15. -9 49/50

16. -10 113/250

17. your friends snapper is larger, 1320/156 > 1313/156

18. 0.13 > 1/8

19. -1 2/9 < 5/4

20. -5.175 < -5 1/6

21 -1 1/2 = -1.5, - 1 7/9 = -1.777777....

Step-by-step explanation:

sorry i didnt know which question you needed help on so i did it all, hope this helped you!! have a great day

if you purchesd a $49.00 gift and you use a 20% off coupon how much do you spend

Answers

Answer:

$39.20

Step-by-step explanation:

$49 * (1-.2) = $39.20

A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a ​second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?

Answers

Rates of change are the change of a quantity over another.

The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

The given parameters are:

[tex]\mathbf{A = |5|}[/tex] -- the amplitude

[tex]\mathbf{T = \frac 13}[/tex] --- the period

The position of the mass is modeled by:

[tex]\mathbf{y= Acos(wt)}[/tex]

Where:

[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]

So, we have:

[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]

[tex]\mathbf{w = 6\pi }[/tex]

[tex]\mathbf{y= Acos(wt)}[/tex] becomes

[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]

[tex]\mathbf{y = 5cos(6\pi t)}[/tex]

Differentiate

[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]

[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]

When t = 2.1, we have:

[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]

[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]

[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]

[tex]\mathbf{y' = -89.6296}[/tex]

Approximate

[tex]\mathbf{y' = -89.6}[/tex]

Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

Read more about rates at:

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I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)

Answers

Answer:

114

Step-by-step explanation:

so lets call shelf 1 x

shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18

shelf 3 is 12 less than shelf 1 so x-12

shelf 4 is four more so x+4

Add them all together and it should be 5x+10= 2.5 m or 250 cm

Solve for x using cm

then plug into shelf 2 equation

what is the answer for this question

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 centimeters

Step-by-step explanation:

leaf is 11cm, catepillar is 6.... 11-6=5

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