The roots of the equation x² + 2x + 4 = 0 are
A) rational and equal
B) rational and unequal
C) imaginary and unequal
D) real, rational, and unequal

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

Given :-

A equation x² + 2x + 4 = 0 .

And we need to find out the nature of the roots . The nature of the roots is determined by the Discriminant of the equation , and the Discriminant of a quadratic equation is ,

[tex]:\implies[/tex] Discriminant = - 4ac

[tex]:\implies[/tex] Discriminant = 2² - 4(1)(4)

[tex]:\implies[/tex] Discriminant = 4 -16

[tex]:\implies[/tex] Discriminant = (-12)

Now here the value of D is less than 0 .So the roots will be imaginary .

Hence the roots are imaginary and unequal.


Related Questions

PLEASE HELP ASAPPP!!!

Directions: Show all of your work for the following two problems on a seperate sheet of paper. Take a picture of your work and attach the picture to this assignment.

1. Solve the following system of equations, show all your work on a separate sheet of paper, and check your answer. Write the solution as a point (x,y) (4 points).

3x + 5y = -40

–x + 4y = -15?



2. Suppose you and your friends form a band and you want to record a demo. Studio A rents for $125 plus $50 an hour and Studio B rents for $200 and $30 an hour. Let t = the number of hours and c = cost.

Write an equation to represent the cost at each studio (2 points)

Solve the system (2 points)

Write the solution as a point (x, y) (2 points)

Answers

Answer:

x = -5  y = -5

Step-by-step explanation:

–x + 4y = -15

     - 4y  -4y

-1(-x = -4y - 15)

x = 4y + 15

Substitute x = 4y + 15 into 3x + 5y = -40

3(4y + 15) = -40

17y + 45 = -40

      - 45   -45

17y = -85

/ 17    /17

y= -5

Substitute y = - 5 into x = 4y + 15:

x = 4(-5) + 15

x = -20 + 15

x = -5

Answer:

Part I

(-5,-5)

Part II

(3.75, 312.50)

Step-by-step explanation:

Part I

(1) 3x + 5y = -40

(2) -x + 4y = -15

solve for x in (2)

x = 15 + 4y

substitute into (1)

3(15+4y) + 5y = -40

45 +12y + 5y = -40

45 +17y = -40

17y = -85

y = -5

substitute y = -5 into (1)

3x + 5(-5) = -40

3x -25 = -40

3x = -15

x = -5

so  (-5, -5)

Part II

Studio A  

C = 125 + 50t

Studio B

C = 200 + 30t

125 + 50t = 200 + 30t

20t = 75

t = 3.75

(3.75, 312.50)

A coach is buying snacks for 22 players on a soccer match chip is a total of $77 to buy each player a bottle of water and energy bar the price of one energy bar is two dollars

Answers

The question is incomplete:

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Let w equal the price of a bottle of water. Write an equation that represents the situation.

Answer:

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Step-by-step explanation:

With the information provided, you can say that the total amount paid is equal to the result of multiplying the price per energy bar for the number of energy bars purchased plus the result of multiplying the price per bottle of water for the number of bottles of water:

price per energy bar= $2

number of enrgy bars= 22

price per bottle of water= w

number of bottles of water= 22

x=(2*22)+(w*22)

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Plzzzzzzzzzzzzz help ;-;

Answers

Answer:

option A

associative property of addition

Answer:

Associative property

Step-by-step explanation: when they are added or multiplied does not change the sum or product

Name an outcome that has a probability between 0 and 0.5.​

Answers

0.3 shsysgotos istxosotcscyowoycscyosyosoycsycowwpyspcyscoyaocyaostc

In the last 150 years, the average height of people in the industrialized nations has increased by 1/3 foot. Today, American men have an average height of 5 7/12 feet. What was the average height of American men 150 years ago? show your work

Answers

Answer:

5 1/4 feet

Step-by-step explanation:

Average height now:

5 7/12 feet

The difference:

1/3 foot

Average height 150 years ago:

5 7/12 - 1/3 = 5 + 7/12 - 4/12 =5 + 3/12 =5 + 1/4 =5 1/4 feet

How many times greater is the value of the 6 in 618,923 than the 6 in 27.652

Answers

600,000 there



- helaaaa

The value of 6 in  618,923 is 1,000,000 or 1 million times greater than that of 6 in 27.652.

What is Place Value?

Place value of a digit in a number is defined as the value of that digit according to the position where it stands.

Place value of a whole number of digits from right to left can be expressed as ones, tens, hundreds, thousand, etc.

Place value of a decimal number after the decimal point from left to right can be expressed as tenths, hundredths, thousandths, etc.

The given numbers are 618,923 and 27.652.

Place value of 6 in 618,923 = 6 × 100,000

That is 6 hundred thousands is the place value.

Place value of 6 in 27.652 = 6 × 1/10 = 6 × 10⁻¹

This is at the tenth place.

6 × 100,000  = 6 × 10⁻¹ × 1,000,000

So 6 × 100,000  is 1,000,000 times greater than 6 × 10⁻¹.

Hence the value of 6 in 618,923 is 1,000,000 times greater than the 6 in 27.652.

Learn more about Place Values here :

https://brainly.com/question/27734142

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Skill plans
Math
TX Standards
Algebra 2
>
T.13 Compound interest: word problems YJW
You have prizes to reveal! Go to you
Alexa opened a savings account 5 years ago. The account earns 3%
interest, compounded annually. If the current balance is $600.00, how
much did she deposit initially?
Round your answer to the nearest cent.
Submit

Answers

Answer:

hshshjsjsjejdjdjsnnsjsns

Which expression is equivalent to 3^2 x 3^6

3^12

9^12

9^8

3^8

Answers

Answer:

[tex] {3}^{8} [/tex]

Step-by-step explanation:

1) Use product rule: x^a x^b = x^a+b.

[tex] {3}^{8} [/tex]

2) Simplify.

[tex]6561[/tex]

The answer is option D) 3⁸.

Please answer quickly!!!!! Will give the brainiest There is a pic attached.

Answers

Answer:

A. 2/3

Step-by-step explanation:

There are 12 tiles in total, and 8 tiles with numbers that are greater than 4.

Express this as a fraction:

8/12

Simplify:

2/3  

Hope this helps

hello im a person




are you a person
































NANI

Answers

Answer: i am a person

Step-by-step explanation:

Answer:

heloo

i am a person

or am I.

A company used 7.4 x 105 sheets of paper a month, the accounting department used 8.9 x 103 sheets. How many were used by other departments during the month

Answers

Answer:

731,100

7.311 × 10^5

Step-by-step explanation:

The computation of the number of sheet used by other department is given below:

Given  that

The company used 7.4 × 10^5 sheets of paper So it would be 740,000  

And, The accounting department used 8.9 × 10^3 sheets so it would be 8,900  

Now the number of sheet used by other department is

= 740,000 - 8,900

= 731,100

= 7.311 × 10^5

Which of the following represents a solution to the equation d3 - 343?

Answers

I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)

Type the correct answer in each box. Use numerals instead of words.
Bethany collected 200 survey responses regarding recycling behaviors in her city of those responses, 174 people responded that they
participate in the city's recycling program.
Use this information to complete the statement. Round all answers to the nearest hundredth.
, which means that
% of the people surveyed do not participate in the city's
The approximate sample proportion is
recycling program.

Answers

Answer:

Step-by-step explanation:

Answer:

1st one 0.87

2nd one 13

PLATO

Step-by-step explanation:

Someone please help me withe this​

Answers

Answer:

13

Step-by-step explanation:

it will be B because it find the missing side you need to do the pythagorean theorem

13 is the answer.......

Ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold.

Answers

Answer:88

Step-by-step explanation:

1.10c+2.35s=294.20

C+S=172

1.10c+2.35s=294.20 if you multiply by 100.

110c+235s=29420

-110 (cones + sundaes =172)

-110c-110s=-18920

125s/125=10500/125

S= 84

C+84=172

-84. -84

C= 88

A right triangle has a height of 13 centimeters and a base of 16.4 centimeters what is the area of the triangle

Answers

9514 1404 393

Answer:

  106.6 cm²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(16.4 cm)(13 cm) = 106.6 cm²

The area of the triangle is 106.6 square centimeters.

Anitra has 12 hair ribbons. One fourth of the ribbons are pink. Three are purple, and the rest are red. What fraction of Anitra's hair ribbons is red?

Answers

Pink ribbons are 3 ( 12:4)
3 pink + 3 purple =6 (together)
12-6 = 6(red)
Fraction is 6/12 simplify 1/2 the answer is one half (1/2)

The fraction of Anitra's hair ribbons is red is 1/2.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Anitra has 12 hair ribbons.

One fourth of the ribbons are pink.

So, number of pink ribbons = 1/4 ×12

= 3

Three are purple, and the rest are red.

So, number of red ribbons

= 12-3-3

= 6

Now, fraction = 6/12 = 1/2

Therefore, the fraction of Anitra's hair ribbons is red is 1/2.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Denise bought 12 slices of cheese at he deli. The total weight of cheese she bought was 1/4 pound What is the weight of each slice of cheese?

Answers

1/3 ounce - 1/4 pound is 4 ounces and then you just divide by 12, resulting in .3333333333 or in other words, 1/3

Plsssssss help. 10th grade mathematics

Answers

Answer:

B) 2/3

Step-by-step explanation:

Mhanifa can you please help? I will mark brainliest!

Answers

Answer:

Given function

h(x) = 2x - 1

#15 Find the inverse of h(x)

Substitute x with y and h(x) with x and solve for y:

x = 2y - 12y = x + 1y = 1/2x + 1/2

The inverse is:

h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function  will contain same numbers with swapped domain and range.

Initial look is like this:

x        |  -3  |  -2  | -1  |  0  |    1  |  2  | 3h⁻¹(x)  |  -1   |       | 0   |      |    1  |      | 2

The rest of the table is filled in by finding the values:

x        |  -3  |  -2    | -1  |  0   |  1  |  2   | 3h⁻¹(x)  |  -1   | -0.5 |  0  | 0.5 |  1  | 1.5 | 2

Guys pls help me!!!!!!!! (It’s not c)

Answers

The correct answer is A

Answer:

The answer is D .

Step-by-step explanation:

Hope it was helpful .

Plz solve it And show ur work plzzz giving brainliest

Answers

Answer:

Step-by-step explanation:

4 x 6 1/4

4 x 25/4

= 25

Here is the explanation. Hope this helps!

Please help with this

Answers

Answer:

1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

Anyone know how to answer this math question

Answers

Answer:

Step-by-step explanation

x^2+y^2=25

A rectangular prism has a length of 312 m, a width of 412 m, and a height of 2 m. Which expressions can be used to find the volume of the prism? Select each correct answer.

Answers

Answer: [tex]312\times 412\times 2[/tex]

Step-by-step explanation:

Given

The length of rectangular Prism is [tex]l=312\ m[/tex]

The width of the rectangular prism is [tex]w=412\ m[/tex]

The height of the rectangular prism is [tex]h=2\ m[/tex]

The volume of the rectangular prism is given by [tex]l\times w\times h[/tex]

Put values

Volume is [tex]V=312\times 412\times 2=2,57,088\ m^3[/tex]

PLEASE HELP!!

solve

2x + 3y = 12
( 6x - y = 4 )

A. x = - 1 1/2, y = -13
B. x = 1 1/5, y = 3 1/5
C. x + 1 1/3, y = 4
D. x = 11, y = -3 1/3

Answers

Answer:

I am not sure but

Step-by-step explanation:

try to use to website https://www.symbolab.com/solver/pre-algebra-calculator

you can chose what your learning and it gives you the right answer. make sure you put the numbers in correctly. if you don't it will mess every thing up for that problem. That one reason I have a B in math cuz i use that site for my math. and it shows you how to do it with steps

please give me a heart if the site really helps you guys :)

Salma made 378 for 18 hours of work.
At the same rate, how much would she make for 5 hours of work?
Please help me answer this question!

Answers

Answer:

Sorry, I can't help you with that :( I hope someone else can tho!

Step-by-step explanation:

Two symmetric points on a parabola are (3, -2) and (7, -2).

What is the parabola's axis of symmetry?

Answers

Answer:

(5, -2)

Step-by-step explanation:

It is in the middle of the parabola for the points (3, -2) and (7, -2).

Given m||n, find the value of x.

Answers

Answer: T be honest i really don't know.

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

Based off of the Consecutive Interior Therom, Angle 1= Angle 2. With this given, you get:

6x-1=5x+28

-5x. -5x

x-1=28

ANSWER:

x=29

Maly is going to throw a fair coin 70 times. Write down an estimate for the number of times the coin will land on head

Answers

Answer:

there are 2 sides for a coin

so divide 70/2 = 35

estimate for heads - 35

Step-by-step explanation:

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