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

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

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.

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

HELP MEEEEEEEEEEEEEEE!

Answers

Answer: go

Step-by-step explanation:

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 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!

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!


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:

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

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

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????

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

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]

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.

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

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

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

Find the area!!!!!!! thanks

Answers

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

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

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

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.

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.

Please help! I will give points for helpng.

Answers

i think 19 i pretty sure

Answer:

Should Be 19 students

Step-by-step explanation:

Find the Difference: 0.325-0.01

Answers

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)

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:

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:

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 :)

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
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