Solve the quadratic equation below. Give approximate answer(s).
x^2 + 4x + 2 = 0
A
4.45 and -0.45
B
-0.59 and -3.41
са
3.41 and 0.59
D
0.45 and -4.45

Answers

Answer 1

Answer:

B

Step-by-step explanation:

x^2 + 4x + 2 = 0; a=1, b=4, c=2

D= b^2 - 4ac = 16 - 8 = 8>0

-> x1/2= (-b +/- √D)÷2×a= (-4 +/- √8)÷2= 2(-2 +/- √2)÷2

= -2 +/- √2

×1=-2+ √2 ≈ -0.59

×2=-2- √2 ≈ -3.41

therefore, b)


Related Questions

9. The quotient of n and -4 is 5. What is the
value of n?

Answers

Answer:

n=-20

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

n/-4 = 5

n/-4 (-4) = 5(-4)

n = -20

-20/-4 = 5

Which expressions represent rational numbers? Check all that apply.

Answers

Answer:

The answer is 1.2 or 5

Step-by-step explanation:

Answer:

B,D,E

Step-by-step explanation:

PLEASE I NEED HELP!!!!!!!!!
The equation y=25x represents Latanya's earnings in dollars and cents, y, for working x hours. Find the rate of change.

Answers

Answer:

25 dollars/hour

Step-by-step explanation:

The rate of change is 25 dollars/hour

Why is the average approaching 3.5?

Answers

Because since the mean of 1-6 is 3.5, it will eventually stabilize at that point.

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the average approaching 3.5, we need to use the concept of the mean or expected value.

The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.

In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.

Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5

Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.

Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:

Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232

To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:

Average approaching 3.5 = (Sum of remaining rolls) / n

We know that the total number of rolls is 3200, so the number of remaining rolls is:

n = 3200 - (number of rolls already rolled)

n = 3200 - 3200 = 0

Therefore,

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

Find the Difference: 0.325-0.01

Answers

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)


Logan inherited $8,000 from his grandmother. He split the money and placed the amounts in the two accounts below. Find the total amount of money he will have in the accounts combined after 5 years. x Account A: earns 7% interest compounded quarterly x Account B: earns 5.5% interest compounded annually

Answers

Answer:

What i got was 3000 please mark wrong if it not right

Step-by-step explanation:

There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Write a number sentence that represents the problem.

Answers

Answer:

0.3

Step-by-step explanation:

yushhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

0.3

Step-by-step explanation:

djdjwinqwp9dejnedm

Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides

Answers

Answer:

Step-by-step explanation:

Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides

The formula for the perimeter of a kite = 2(a + b)

Where a and b where the side length of the kite

Which statement accurately describes the economic characteristics of modern
Texas?


A. Texas has one of the strongest and most diverse economies in the country.

B. Texas has a fairly strong economy, but growth has slowed since 2004.

C. Texas has a stable economy, but lacks industrial diversity.

D. Texas has a strong oil industry, but all other sectors have struggled recently.

Answers

Answer:

D

Step-by-step explanation:

sorry if incorrect

Answer:

The answer is A. Texas has one of the strongest and most diverse economies in the country.

Step-by-step explanation:

Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.

PLEASE ANSWER PLZ PLZ

Answers

The answer is
A.) -2/5
Because x increases by positive two and y decrease by negative five

Answer:

Your answer is -5/2.

Step-by-step explanation:

Use the slope equation. (Refresh if you cant see below.)

[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]

BJ purchased five candy bars ($.79 each) three sodas ($.169)each and four bags of chips ($.89 each). What percent of the total order was spent on sodas? 

Answers

Answer:

12.0%

Step-by-step explanation:

What is the equation of a circle with a radius of 6 and a center at ( -2 , 3 )?

Answers

The formula for a circle is:

(x-p)^2+(y-q)^2=r^2

The radius is given (r=6), as well as the centre of the circle (-2;3).

"p" and "q" represent the coordinates of the centre of the circle.

So it would look like this -

(x-p)^2+(y-q)^2=r^2

p=x-coordinate (-2)
q=y-coordinate (3)
r=6

(x-(-2))^2+(y-(3))^2 =6^2
(x+2)^2 + (y-3)^2 = 36

***"^" means "to the power of"

Hope this helped~

Answer:

Solution given:

centre(h,k)=(-2,3)

radius(r)=6 units

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+2)²+(y-3)²=6²

(x+2)²+(y-3)²=36 is required equation of a circle.

What is the value of x? (3x + 50) Enter your answer in the box (6x - 10) X =​

Answers

Answer:

x = 20

Step-by-step explanation:

(6x - 10) and (3x + 50) are vertical angles and are congruent, then

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Question b quick 10 points

Answers

Me confused where’s question b????

NEED HELP the answers are
42 days
30 days
180 days
24 days
365 days
6 days
This is confusing someone please help

Answers

Answer:

6 days

Step-by-step explanation:

The can relatively small... I would just say common sense.

hopefully this helps luv <3

if ur good at graphs come here.

Answers

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:Amount of white  paint used by Sarah =1.82 pints

Step-by-step explanation:

Amount of  blue paint and white paint to paint her bedroom walls.=9.1 pints

Amount of  blue paint used =4/5 x 9.1=7.28 pints

Amount of white  paint used=Amount of  blue paint and white paint to paint her bedroom walls -Amount of  blue paint used

=9.1-7.28=1.82 pints

On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the way. Which decimal number shows the portion of the distance Sandy skips?

Answers

Answer:

0.2

Step-by-step explanation:

Convert the walking to percent

[tex]\frac{1}{2} \times 100 = 50[/tex]

Add both skateboarding and walking

[tex]30\% + 50\%\\\\= 30 + 50\\\\= 80[/tex]

Now, subtract that from a whole percent

[tex]100 - 80 = 20\\\\20\%[/tex]

Convert it to a decimal

[tex]20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2[/tex]

Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.

Greg has a piece of wire that is 72 inches in length. If 12 inches equals 1 foot, what is the length of wire in feet?
A. 84 feet
B. 60 feet
C. 6 feet
D. 864 feet

Answers

Answer:

72 divided by 12 = 6 feet

Step-by-step explanation:

Since there are 12 inches in ONE FOOT you have to divide the total number of inches by the inches that are in a foot which is 12.

The function r(n) = 5n² + 1 represents the value of the nth term in a sequence.
What is the sum of the 1st and 3rd terms of the sequence?

Answers

Step-by-step explanation:

a_n=5n²+1

➜a_1=5(1)²+1

➜5×1+1

➜5+1

➜6

➜a_3=5(3)²+1

➜5×9+1

➜45+1

➜46

Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.

Answers

Answer:

the angle measures are 60 and 30

Help how many questions did you answer correctly

Answers

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

answer:
18 questions

step-by-step explanation:
90% of 20 is 18
0.90 • 20 = 18

Find the area!!!!!!! thanks

Answers

I’m pretty sure it’s joe, but rip Candice

Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?

Answers

Everyone will have to play 21 games

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

[tex]n = 8[/tex] --- number of friends

[tex]r = 2[/tex] --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]

[tex]^8C_2 = \frac{8!}{6!2!}[/tex]

Expand

[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]

[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]

[tex]^8C_2 = 4 \times 7[/tex]

[tex]^8C_2 = 28[/tex]

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

Read more about combinations at:

https://brainly.com/question/8018593

Please help! I will give points for helpng.

Answers

i think 19 i pretty sure

Answer:

Should Be 19 students

Step-by-step explanation:

What is the length of the hypotenuse

Answers

Answer:

15

Step-by-step explanation:

The Pythagorean's Theorem states that a^2 + b^2 = c^2, so 81 + 144 = 225, and 225 square rooted is 15.

Answer:

15

Step-by-step explanation:

So, to find the hypotenuse you must use the pythagreons theorm:

A^2+B^2=C^2

Now, we knowt hat A and B is the side lengths.(9 and 12)

The hyoptenuse is C.

So, lets plug in our values for A and B, and find C:

A^2+B^2=C^2

=

9^2+12^2=C^2

Now lets square each number except for C, since its a unknown value:

81+144=C^2

Now combine the 144 and 81:

225=C^2

Finally, square root both sides so C^2 becomes C:

15=C

So the answer for the hyotenuse is 15!

Hope this helps!

Find the area of the figure.

Answers

Answer:

The answer is 28.5

Step-by-step explanation:

Right triangle: 4.5

Top triangle: 6

Rectangle: 18

Your welcome :)

HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP

Answers

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

----------------------------------------------------------------------------------------------------------------

Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

----------------------------------------------------------------------------------------------------------------

2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

Nico practiced drums 1.5 fewer hours than he practiced piano. If Nico practiced the piano for 4 hours, how many hours did Nico practice the drums

Answers

Answer:

2.5 hours

Step-by-step explanation:

4 - 1.5 = 2.5

You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.

HELP MEEEEEEEEEEEEEEE!

Answers

Answer: go

Step-by-step explanation:

Other Questions
HELPPPPPPPPPPPPPPPPPPPPPPP Two parallel lines are cut by a transversal. What is the measure of A storage bin is a rectangular prism that measuring 114 cm long by 56 cm high by56 cm deep. What is the surface area of the exterior, in square feet? What can be concluded about the purpose many robots will have in the future what are the dark nights in the time machine here to make you day bit happy One of the main characteristics of government share is that day Determine the mass in grams of Avogadro's number of C12H22O11 There is evidence that some people can undergo painful procedures with no anesthesia other than hypnosis. True or false ? Help me solve this problem A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta? Consider the Hertzsprung Russell diagram seen here. We can use this diagram to classify stars and determine their characteristics.The color of a star is determined by its temperature: the hottest stars are blue and the coolest are red. The Sun has a surfacetemperature of 5,500C and it appears yellow. The diagram also indicates that temperature coincides with luminosity: the hotter thestar, the higher the luminosity. You can also tell the size of each star from the graph as the larger the radius, the higher thetemperature and luminosity. Regardless of a star's position in the diagram, the energy that results in high temperatures and the starsluminosity is generated by what process?WA)nuclear fusionB)nuclear fissiongravitational forces of swirling gasesD)friction generated by gravitational force 23) A student revising this passage wants to create a more effectivetransition from the end of paragraph 2 to the beginning of paragraph3. What could the student do to make a more effective transition?A)Nothing. The transition between paragraph 2 and 3 isfine as it is.B)Paragraph 3 needs to begin with more informationabout how bread is made.C)Paragraph 3 needs to begin with a description ofdifferent types of donuts.D)Paragraph 3 needs to begin with paragraph three firstsentence about Hanson Gregory. Which of the following best describes a form of genetic drift in which the animal population is depleted, thereby reducing the population's genetic diversity?A. bottleneck effectB. disruptive selectionC. founder effectD. gene flow Please a correct answer gets brain thing that I forgot it name please help I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARSplease help this is very importantthis is a big part of my grade Ill give brainlist if you answer correctly Which of the following would be the most likely premise of a story written byan author of Romantic literature?A. Breaking traditions is an action taken by artistic geniuses.B. Formal education is a more valuable asset than creativity.C. Forming relationships is an advantage humans have over animals.D. Conformity is a sign of an individual's healthy soul. A computer equipped with fingerprint recognition software, which denies access to a computer to anyone whose fingerprint is not on file, identifies a person's fingerprint by analyzing not only the detailed structure of the fingerprint, but also such characteristics as the level of pressure upon which the finger placed on the scanner and the finger's skin tone. Even the most adept computer hackers cannot duplicate all the characteristics the software analyzes.Which of the following can be logically concluded from the passage above?A. Use of the recognition software is largely impractical due to the time it takes to record and analyze a fingerprint.B. Computers equipped with the recognition software will soon be installed in most financial firms that deal with sensitive electronic information.C. It is not possible for any top computer hacker to gain access to a computer equipped with the recognition software solely by virtue of skill in replicating the structure of fingerprints.D. Fingerprint recognition software has taken many years and tremendous investment to develop and perfect.E. The fingerprint recognition software is so sensitive that many authorized users are often denied legitimate access. Use the Quadratic FormulaUse the Quadratic Formula to find the zeros of the givenexpression. Be sure to show your steps!2x2-7x+3Plz help no links "sweat" is steeped in Christian symbolism, a sign of the culture Hurston was raised in and was writing for. Work with a partner to find allusions to the Bible and Christian symbols in the story. Explain how the allusions create meaning in the text.