solve using quadratic formula q^2-2q-1=0

Answers

Answer 1

Answer:

1±√2=q

or

q=2.41, -0.41

Step-by-step explanation:

we are given the equation q²-2q-1=0, and we want to use the quadratic equation, which is (-b±√(b²-4ac))/2a

a is 1 (there is a 1 in front of q²)

b is -2

c is -1

substitute into the equation:

q=(2±√(4-4*1*-1))/2

solve for the discriminant:

√(4-4(1*-1))

√8

now the equation:

(2±√8)/2=q

simplify:

1±√2=q

or if your application asks for a decimal:

√2≈1.41

so:

1+1.41=2.41=q

or

1-1.41=-0.41=q

Hope this helps!


Related Questions

help please i will give brainliest to first answer

Answers

Answer:

m<ADC= 117

Step-by-step explanation:

Please answer this is my last few points

Answers

Answer:

first is some and second is all

Step-by-step explanation:

PLEASE GIVE BRAINLIEST!!!!!!!!!!

Answer:

1. All

2. Some

Step-by-step explanation:

I belive this awnser is correct

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperature be? Write an equation to show how you found your answer
welp me pls
( T﹏T ) ( T﹏T ) ( T﹏T ) ( T﹏T )

Answers

Answer:  16° F

Step-by-step explanation:

30-15=16

16 degrees because if you subtract 31 degrees by 15 degrees you get 16 degrees.

I made a fort by connecting two boxes. The first box is 5 meters long, 9 meters wide, and 9 meters high. The second box is 3 meters long, 8 meters wide, and 2 meters high.

Answers

Complete question :

I made a fort by connecting two boxes. The first box is 5 meters long, 9 meters wide, and 9 meters high. The second box is 3 meters long, 8 meters wide, and 2 meters high. How many cubic meters of space does my fort have?

Answer:

453 m³

Step-by-step explanation:

Volume of first box :

Volume = Length * width * height

Volume = 5 * 9 * 9

Volume = 405 m³

Volume of second box :

Volume = Length * width * height

Volume = 3 * 8 * 2

Volume = 48 m³

Total volume :

405m³ + 48m³ = 453m³

How high is the hands of the superhero balloon above the ground? The hand is ____ feet above the ground.

Answers

Answer:

61 ft

Step-by-step explanation:

since it's equal

u look cute in that pfp

11. Which set of ordered pairs represents y as a function of x?
A. {(-4,-3), (-4,-2), (-3,-3), (-3,-2)}
B. {(2.0), (4,0), (4,2), (6, 2)}
C. {(6,-2), (6.0), (6,2), (6,4)}
D. {(0, 0), (2, -4), (4, -8), (6,-12)}

Answers

Answer is C. {(6,-2), (6.0), (6,2), (6,4)}

Step-by-step explanation:

Your welcome

1. A random sample of 400 married couples was selected from a large population of married couples. There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter that her husband. Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.

Answers

Answer:

[tex]CI = (0.028636,0.071364)[/tex]

I am 95% confident that the true proportion of couples where the wife is taller than her husband is captured in the interval (.028, .071)

Step-by-step explanation:

Given

[tex]n = 400[/tex]

[tex]x = 20[/tex] --- taller wife

[tex]y = 380[/tex] --- shorter wife

Required

Determine the 95% confidence interval of taller wives

First, calculate the proportion of taller wives

[tex]\hat p = \frac{x}{n}[/tex]

[tex]\hat p = \frac{20}{400}[/tex]

[tex]\hat p = 0.05[/tex]

The z value for 95% confidence interval is:

[tex]z = 1.96[/tex]

The confidence interval is calculated as:

[tex]CI = \hat p \± z \sqrt{\frac{\hat p (1 - \hat p)}{n}}[/tex]

[tex]CI = 0.05 \± 1.96* \sqrt{\frac{0.05 (1 - 0.05)}{400}}[/tex]

[tex]CI = 0.05 \± 1.96 * \sqrt{\frac{0.0475}{400}}[/tex]

[tex]CI = 0.05 \± 1.96 * \sqrt{0.00011875}[/tex]

[tex]CI = 0.05 \± 1.96 * 0.01090[/tex]

[tex]CI = 0.05 \± 0.021364[/tex]

This gives:

[tex]CI = (0.05 - 0.021364,0.05 + 0.021364)[/tex]

[tex]CI = (0.028636,0.071364)[/tex]

What is 5x÷6=20
Pls help I can't figure it out

Answers

Answer:

x= 24

Step-by-step explanation:

5x=20*6

x=120/5

x=24

Hope this helps! Plz mark as brainliest! :)

PLEASE HELP THIS IS TIMED!!

Answers

Answer:

(D) 3/10

Step-by-step explanation:

So its split into 10 different rates each and its on the third split So 3/10.

help║...................

Answers

180-(60+54)=66
So the answer is 66*
66 because it is 180-60+54 which is 66

-48+6
+(-3)(-4) (-2)
-7​

Answers

Answer:

-73

Step-by-step explanation:

-48+6-24-7 = -73

here you gooooooooooooooooo

I need help!!
A regular heptagon is shown below. What is the value of x? *

Answers

Answer:

Value of X=51.43

Step-by-step explanation:

the measure of the central angle of a regular heptagon is about 51.43 degrees which = X

if this helped please leave a rating and mark me brainliest

How many pints is 80 cups

Answers

Answer:

40

Step-by-step explanation:

2 cups = 1 pt

therefore

1/2 is the equation

...

80/2 = 40

A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 40 feet, the height of the roof is 10 feet, and the height of the entire silo is 75 feet?

a. 393,746.3 ft
b. 343,480.8 ft
c. 326,725.6 ft
d. 376,991.1 ft

Answers

Answer:

The answer is b. 343,480.8ft

Step-by-step explanation:

I thought it was c at first because I forgot to add the volume of the cone.

The equation for the volume of a cylinder is V=π×r²×h

The solution would look like V=π40²×65=326725.8

The equation for the volume of a cone is V=1/3πr²×h

The solution would look like V=1/3π×40²×10=16755

Adding the two volumes would equal 326725.8±16755= 343480.8

The average car decreases in value by about 15% per year. If a car's original value is $28,000, which function best represents its value, y, after t years?
A. y=28,000(1+15)^t
B. y=28,000(1+0.15)^t
C. y=28,000(1-15)^t
D. y=28,000(1-0.15)^t​

Answers

Answer:

D

Step-by-step explanation:

D

How many books recommended by the book reading club would you actually buy? Which book was first recommended to be read by the book club during the summer break? Who wrote a statistical question and why?

Answers

Answer:

7

Step-by-step explanation:

njshhtb jahhhdvjsjjbvgshh shhkakhgsv jjjjgfe

A swimmer swims 2 kilometers every 15 minutes. If he comes to swim at the same rate which graph best represents his swimming speed in kilometers per minute

Answers

Answer:

62

Step-by-step explanation:

divide lang yan.piste kasi bat kailangan 20 letters

Answer:

la respuesta es la D

Step-by-step explanation:

la velocidad es constante

A heptagon has angles x, 105 degrees, 105 degrees, 160 degrees, 124 degrees, 97 degrees, 137 degrees. Find the missing angle measure in the heptagon. The sum of the interior angles of a heptagon is °. The measure of the missing angle is °.

Answers

Heptagon has all angle 900
So
X+105+105+160+124+97+137=900
X=900-728=172

Answer:

900 and 172 for edg 2020-2021

Step-by-step explanation:

Find the perimeter and thank

Answers

Answer:

12

..................................................

Step-by-step explanation:

2 + 2 + 1 + 2 + 1 + 4 = 12

Answer:

12 centimeters

Step-by-step explanation:

The double dashes are both the same number. Since the base is 4cm and they have to be two of the same number, the double dashes are each 2cm long. Meanwhile, the height is 2cm, and the single dashes are two of the same numbers (but not 2cm, because that's what the double dashes are). So, each dash must be 1cm long. When you add them up: [tex]4+2+2+2+1+1=12[/tex]

Please help AND SHOW WORK!!!!
3x^(3)-6x^(2)+15x-30

Answers

Answer:

(x - 2)(3x^2 + 5)

Step-by-step explanation:

All four terms here have 3 as a factor.  Factor out 3:

3x^(3)-6x^(2)+15x-30 =>  3(x^3 - 2x^2 + 5x - 10)

The last two terms can be rewritten as 5(x - 2).  The first two terms can be rewritten as 3x^2(x - 2).  So (x - 2) is a factor of 3(x^3 - 2x^2 + 5x - 10).  We get:        

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

write the number thirty three in figures

Answers

Answer:

3x10 15x2 5x6

Step-by-step explanation:

Choose the best term from the box.
The ?
of an object is how heavy the object is.
?
weight
length
capacity
15

Answers

it would be the weight!! hope this helps

Solve for x , assume all segments that appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

x = 5

The value of x in the given angle is 5.

What is circle?

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge.

Labelling the figure,

We have,

Measure of complete angle of circle = 360 degree

∠ABC = 360 - (81 + 74)

          =  205 degree

Now from figure,

∠APE = (205 - 81 )/2

          = 62 degree

Since we know that,

∠APE = 17x - 23

Therefore,

17x - 23 = 62

17x = 85

  x = 5 degree,

Hence,

Required value is 5.

To learn more about cirlce visit:

https://brainly.com/question/29288238

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A bag contains 12 yellow tiles and 12 blue tiles. A student will choose one tile from the bag without looking. Which word(s) describe the probability of choosing a blue tile from the bag? likely O certain O impossible O equally likely

on a k12 quiz btw​

Answers

Answer:

Equally Likely

The product of three consecutive non-zero integers is taken. Which statement must be true?

Select one:

O A. The third consecutive integer must be even,

B. The product must be odd,

C. Two of the three integers must be even.

D. The product must be even.

E. Two of the three integers must be odd.

©

Answers

Answer:

d

Step-by-step explanation:

integer is a whole number

imagine the sum of the first set of 3 integers = 4 + 5 + 6

product = 4 x 5 x 6 = 120

imagine the sum of the 2nd set of 3 integers = 6 + 7 + 8 = 21

6 x 7 x 8 = 3364

Which is missing from step 4?

Add the data for each interval.

Put a point on each line of the y-axis that has data.

Put the data in order in the table.

Create the bars.

Answers

Answer:

The answer u put in the thing is correct!

Step-by-step explanation:

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters and then back up a 48-meter rise. what integer represents the vertical change from the start of the ride for the coaster after the 20 seconds

Answers

This is the answer

I hope if you get it correct or right

Good luck everyone

The total vertical change from the start of the ride for the roller coaster after the 20 seconds 76 m.

What is vertical change?

The rise is the vertical difference between two points called vertical change.

Calculation for the vertical change:Step 1: Calculation for the the total rise when roller coaster goes up a 100 meter hill and the down 72 meter.

Thus, the total vertical rise will be,

100 (upward) - 72 (downward) = 28(upward)

Step 2: Calculation for the total rise after the roller coaster again goes vertical to 48 meter.

So, the total rise will become,

28(upward) + 48(upward) = 76(upward)

Therefore, the total vertical rise of the roller is 76 meter during the time of 20 seconds.

To know more about the vertical line test, here

https://brainly.com/question/2257047

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One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th

Answers

Answer:

17.7 cm

Step-by-step explanation:

One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th

To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem

Hypotenuse ² = Opposite ² + Adjacent ²

Hypotenuse = √Opposite ² + Adjacent ²

Opposite = 12 cm

Adjacent = 13 cm

Hence,

Hypotenuse = √12² + 13²

= √144 + 169

= 17.691806013 cm

Approximately = 17.7 cm

Therefore, the measure of the Hypotenuse is 17.7 cm

Drag each sign or value to the correct location on the equation. Each sign or value can be used more than once, but not all signs and values will
be used.
The focus of a parabola is (-4,-5), and its directrix is y=-1. Fill in the missing terms and signs in the parabola's equation in standard form.

Answers

Answer: (x+4)² = -8 (y+3)

Step-by-step explanation: I got this correct on Edmentum.

If water flows through the pipe at a rate of 2L per seconds. How much water will pass through the pipe in 1/2hour​

Answers

Answer:

3600 Liters

Step-by-step explanation:

The given rate is 2L and we have to find how much water will flow in 1/2 hours at the same rate

1/2 hour is the same thing as 30 mins

multiply by 60 to convert minutes to seconds

[tex]3omin * \frac{60sec}{1min} = 1800 s[/tex]

since the rate is 2L per second we multiply 1800 by 2 and get 3600 Liters

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