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

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the highest student changed the distribution by a lot

If the value of 6 coins is $0.56, what are the coins?​

Answers

Answer:

1 quarter, 2 dimes, 2 nickels, and 1 penny.

A delivery truck covers a distance of 50 miles every hour. Write the equation that represents, d, the truck has covered over h hours.

Answers

Answer:

50 times h=d

Step-by-step explanation:

determine the intercepts of the line

Answers

Answer:

(0, -5/2), (-2, 0)

Step-by-step explanation:

To find the y-intercept, set x = to 0 and find y:  -4y = 10.  Thus, y = -5/2.  The y-intercept is (0, -5/2).

To find the x-intercept, set y = to 0 and fid x:   -5x = 10.    Therefore the x-intercept is -2:  (-2, 0)

The weather report shows the 5-day forecast in St. Paul, Minnesota. What is the sum of the various temperatures over the period of five days?

Answers

Answer:

-2

Step-by-step explanation:

The sum of the temperatures is S = -2°C

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the temperatures on different days be represented by the table

Now , total temperature is S = -6 + 3 + 4 - 2 - 1

On simplifying the equation , we get

S = -2°C

Hence , the temperature is S = -2°C

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

(9x² + 6x – 7) + (-9x – 5)

Answers

Answer:

-12

Step-by-step explanation:

A circle is centered at A(-5,-8)A(−5,−8)A, left parenthesis, minus, 5, comma, minus, 8, right parenthesis. The point M(-1,-3)M(−1,−3)M, left parenthesis, minus, 1, comma, minus, 3, right parenthesis is on the circle. Where does the point V(-11,-6)V(−11,−6)V, left parenthesis, minus, 11, comma, minus, 6, right parenthesis lie?

PPLLLSSSSS HELPPPP!!!!!! I will mark brainliest!!!!

Answers

Answer:

Its inside the circle

Step-by-step explanation:

Thats the answer on khan (RIP me i searched this up to get the answer and got it wrong to answer the right answer...)

Answer: Inside the circle

Step-by-step explanation: Khan Academy

i need this pls it’s due tm i was absent

Answers

Answer:

Well x would be 103° because it forms a line (180°) with the 77° but I have no idea what those arrows are asking...

LAST POINTS PLEASEE PLEASEEEE HELP!! :(

Answers

Answer:

D. 22  2/3

Step-by-step explanation:

To find area you multiply length times width.

Here:

L = 5 2/3

and W = 4

So multiply 5 2/3 by 4, you get 22 2/3

Good luck! Please mark brainliest!

Is someone’s opinion a statistical question???? Pls help

Answers

Answer:

NO

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Look at the photo to answer

Answers

answer is two .....

In a promotion at a store, each customer gets a chance to randomly draw a ticket from a box. There are 100 tickets. 20 tickets say "winner" and 80 tickets say "sorry, try again". Assume two customers play and that the ticket is not replaced after the first customer plays.
A) What is the probability that the second customer wins, given that the first customer wins?
B) What is the probability that the second customer loses, given that the first customer wins?
C) What is the probability that the second customer wins, given that the first customer loses?

Answers

Answer:

It's B

Step-by-step explanation:

Question 4 please help as fast as you can

Answers

Answer:

-4y+1

Step-by-step explanation:

There are 12 brown hair teachers and 20 blond hair teachers. For every blank blond teachers there are blank brown teachers

Answers

Answer:

For every 5 blonde teachers there are 3 brown teachers.

Step-by-step explanation:

Here we have to find the ratio of blonde teachers to brown teachers

Blonde : Brown

20: 12

10:6

5:3

For every 5 blonde teachers there are 3 brown teachers.

This can be further evaluated

Blonde : Brown

5:3

dividing both sides by 5

1: 3/5

For every 1 blonde teachers there are 3/5 brown teachers. It means that the brown teachers are 2/5 less than the blonde teachers.

1-2/5= 3/5

20* 3/5= 12

I just need to solve this: 5x^3=60x

Answers

If you are solving for the zeros it is -2sqr3, 0, 2sqr3

help please. If (a,b) is the center of this circle, fine a+b​

Answers

Answer:

Given

(X+1)²+(y+4)² =25

or, {x-(-1)}² +{y-(-4)}² =5²

comparing with (x-h)²+(y-k)² = r²

h= -1

k= -4

center of circle (h,k)= (-1,-4)

by question..

(a,b) is centre of circle so...

(a,b) =(-1,-4)

i.e

a=-1

b=-4

now;

a+b= -1+(-4)

= -1-4

= -5

One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?

25,900 km

185 km

76 km

259 km

Answers

Answer:

259 km

Step-by-step explanation:

Butterfly method 100/185=140/???

185*140=25900

divide by 100

=295

The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area.

Answers

Answer:

6cm produces the largest mosquito

Step-by-step explanation:

The question has missing details.

From the complete question, the function is:

[tex]g(x) = 12x-x^2[/tex]

Required

Which area of rainfall produces the most mosquito

This implies that, we calculate the maximum of the function.

This is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

We have:

[tex]g(x) = 12x-x^2[/tex]

Rewrite as:

[tex]g(x) = -x^2 + 12x + 0[/tex]

From the above:

[tex]a= -1[/tex]

[tex]b = 12[/tex]

[tex]c = 0[/tex]

So, we have:

[tex]Max = -\frac{b}{2a}[/tex]

[tex]Max = -\frac{12}{2 * -1}[/tex]

[tex]Max = \frac{12}{2}[/tex]

[tex]Max = 6[/tex]

This implies that:

[tex]x = 6[/tex] ---- the maximum

When rainfall is at 6cm, there is a maximum number of mosquitoes

The maximum is then calculated as:

[tex]g(x) = 12x-x^2[/tex]

[tex]g(6) = 12 * 6 - 6^2[/tex]

[tex]g(6) = 72 - 36[/tex]

[tex]g(6) = 36[/tex]

The maximum number of mosquito is 36 million

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3. Use the information about the m<2 and m determine the missing information.
m22 = 97°
m26 = 83°
m
2
5
m2 3 =
m2 5 =
3
4
7
8
m210 =
m2 7 =
9
10
13
14
m2 9 =
m216 =
$
11
12
15/16

Answers

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

m<7 = 83

m<16 = 97

Step-by-step explanation:

m<3 = m<2 because of vertical angles

m<10 = m<2 because of corresponding angles

m<9 + 97 = 180

m<9 = 83

m<5 + 83 = 180

m<5 = 97

m<7 = m<6 because of vertical angles

m<16 = m<5 because of alternate exterior angles.

If a train travels 156 miles in 4 hours how many miles per hours dose it travel

Answers

39 miles per hour

156/4=39

Answer:

39mph

Step-by-step explanation:

plz mark brainliest

I NEED ASAP DUE TODAY!!!! WILL GIVE THE BRAINLEST
solution to
y=0.50x+1
and
y=0.25+5

Explain step by step plz

Answers

it is 3.75

step by step: 0.50x+1=0.25x+5
subtract 0.25-0.50 and 5-1 then add -0.25+4 and that equals 3.75

Please help! If you do you will get 'Brainliest'

Answers

Answer:

D is your answer.

Step-by-step explanation:

if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half

Answer:

answer  (-1) because from a if u minus 2 1/2 u get (-1)

PLEASE HELP ASAP NO LINKS PLEASE An employee works as a veterinary assistant at a clinic making $31,840 per year. However, the clinic is hiring veterinarians at a salary of $72,100 per year. The employee went back to school to become a veterinarian. How much more money could the employee make working as a veterinarian instead of a veterinary assistant over 5 years? Enter your answer in the box.

Answers

Answer: 40,260

Step-by-step explanation:

72,100-31,840=40,260

Answer:

201,300

Explanation

I got 100 so no worries

Which temperature is warmer, -2 degrees Celsius, or -5 degrees Celsius?
-2
-5

Answers

Answer:

-2 is warmer the -5 degrees

Answer:

-2 Celsius

Step-by-step explanation:

The negative degrees in Celsius work the same way as Fahrenheit

The closer the number is to 0 the warmer the temperature is... -2 is closer to 0 than -5

did i do this right “what % of 369 is 26” i got 7.04 so is that the rounded answer (hundredths place) or just 7.0=7?

Answers

Answer:

26 is 7.05% or 7.04% of 369.

Step-by-step explanation:

Now 7.04% of 369 is actually 25.9776.

and 7.04% is 26.01452.

But if you round both 25.9776 and 26.01452 you get 26

So, technically you are correct.

Hope this helps! :)

NEED HELP ASAP!!!!! Someone help me??!??

Answers

Answer:

c

Step-by-step explanation:

I think so

Find the measure of angle 5, if m<2 is 120°

Answers

Answer:

m< 5 = 30°

Step-by-step explanation:

I hope that is useful for you :)

The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she drew? Show your work. Round your answer to the nearest tenth.

Answers

Answer:

Area of model pond = 45.6 inch² (Approx.)

Step-by-step explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)

PLEASE HELP FAST


Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c


Answers

15+e+(18x2) then subtract the answer with 24

Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone has a radius of r, a slant length of c, and a height of b. The second cone has a radius of r, a height of a, and a slant length of b. Is Erik’s statement correct? Why or why not? Yes, the solids are both cones and appear to have the same volumes. Yes, the area of the bases and the heights of the cones are the same, so the volumes are equal. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.

Answers

Answer:

D. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.

Step-by-step explanation:

Correct on Edge.

Answer:

The person above me is correct but the option is C.

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please help worth 20 points How is weathering a result of interactions between Earth's four systems? Write a critical review in which you state, explain, and support your understanding of the character of Uncle Marcos. In yourview, is Uncle Marcos a dreamer, a crackpot, an innovator, a phony, just an unusual person, or something else? Your criticalreview should include the following elements:1. A main claim in which you state your position about Uncle Marcos2. An explanation of specific ways in which author Isabel Allende shows what Uncle Marcos is like3. Evidence, including quotations from the narrative, that supports your main claim4. Reasons that clarify your claim or show why it is validAs you write your review, be clear about the ways in which your ideas fit together. Use words and phrases that show howone idea leads to the next, and how your evidence connects to the ideas. For example, words and phrases such as because,as a result, and consequently show cause-and-effect relationships. Words and phrases such as like, similarly, or on theother hand show comparison and contrast.Your critical review should be 2-4 paragraphs in length plz help like ASAP will brainliest Can someone please answer this please for god's sake For which equation is g = 0 not the solution?12 g = 03 g = 30g + 8 = 89 g = 0 Which of the following is an example of something that sociology tries tohelp people understand?A. The origins of humanityB. The causes of diseasesC. The causes of revolutionsD. All of the aboveThe answer is C. The causes of revolutions A container in the shape of a cube 11.6 cm on each edge contains air (with equivalent molar mass 28.9 g/mol) at atmospheric pressure and temperature 291 K. (a) Find the mass of the gas. kg (b) Find the gravitational force exerted on it. mN (c) Find the force it exerts on each face of the cube. kN (d) Why does such a small sample exert such a great force Evaluate the expression when a = 6 and x = -3.-a+7x How did conflict develop between Spanish settlers and Native Americans in the Southwest? Which of the following is the graph of the function shown above? (Natural resources) give me a historical connection to the unit Plants produce oxygen which animals use. Animals produce carbon dioxide which plants use. Predict the most likely outcome if airborne pollution blocked the suns rays so significantly that the percentage of living plants was decreased by 95%. A. Plants would quickly evolve to consume a mixture of oxygen and carbon dioxideB. Animals would quickly evolve to begin using carbon dioxideC. The atmosphere would fill with carbon dioxide, and animals would begin to die.D. The atmosphere would fill with oxygen, and animals would begin to die. PLEASE HELP ME ASAP to find the average result of rolling a six sided dice josh rolls a dice 100 times the table shows how many times josh rolled each number what is the mean or average of the dice rolls HELP ASAP I WILL GIVE BRAINLIST"We, therefore, the Representatives of the united States of America, in General Congress, Assembled, appealing to the Supreme Judge of the world for the rectitude of our intentions, do, in the Name, and by Authority of the good People of these Colonies, solemnly publish and declare, That these United Colonies are, and of Right ought to be Free and Independent States;"These lines from the Declaration of Independence are an example of the use of _______________. (5 points)logosthemeethosthesis Layla has 3/4 of a can of paint. She uses 2/3 of the paint for one wall in her bedroom. How much of the can did she use? PEASE ANWSER! Please help me with this Samuel Morse helped spark a revolution in communications. Which statements describe one of Morse's contributions?Select all correct answers. To determine what the customers of a clothing store think about the variety of clothing sold in the store, a manager hands out a survey to 100 teenagers chosen at random who visited the store.Which of the following could affect the outcome of the survey?A. The survey is biased because the manager did not give the survey to teenagers at other stores.B. The results could be flawed because the sample population was too large.C. The results could be flawed because the sample is not a good representation of the store's customers.D. The results could be flawed because the teenagers were randomly chosen . 1. What am two things that FDR did to helpAmericans during the Great Depression?