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

show work order the fractions from LEAST to GREATEST. 1/2, 2/3, 1/4, 5/6 show work

Answers

Answer:5/6, 2/3, 1/4, 1/2

Step-by-step explanation:

Write an equation of the form y=kx for the relationship shown in the graph.

Answers

Answer:

28 = 8k

Step-by-step explanation:

(x,y)

so (8,28)

y = kx is a direct proportional formula.

28 = 8k

please see attachment below

Answers

Hey there!

Refer to the attached picture.

Hope it helps ya!

Help please! I need this done soon

Answers

Answer:

y = 3

Step-by-step explanation:

If the line needs to be parallel to the x axis, it must be Horizontal. The formula for lines like this is y= mx+c with m being the gradient. With a horizontal line, the gradient is 0 and therefore we get y=c.

To find c, we need to find the y intersect which is where the line passes through the y axis. Since it is horizontal and passes through the dot, we can find that c = 3 as the dot is at 3 on the vertical axis.

From this, we can see that the equation is y = 3.

Answer:

3

Step-by-step explanation:

the x-axis is horizontal and the numbers above and below it are 4 and 2 and the dot was right on the line so it was 3

Which graph shows a negative correlation?
10fy
9
8
7+
6
0 5.
4
3
2+
1 +
1
23
4 5 6 7 8 9
+
X
9
8+
7+
6+
5+
Mark this and retum

Answers

The scatterplot with negative correlation is (a)

How to determine the scatterplot with negative correlation

From the question, we have the following parameters that can be used in our computation:

The images of the scatter plots

Describing the scatterplot a

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a negative association.

Hence, the correlation is negative

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are the following triangles similar? if so state the reason.

not similar
SAS
SSS
AA​

Answers

The triangles are not similar.

What is similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

The Given triangle ZXB and DZN are not similar

Because,

XZ/DZ =XB/DN ≠ ZB /BN

XZ/DZ = 1/2

XB/DN = 1/2

ZB /BN = 1/3

Hence, the triangles are not similar.

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pls help help help help help help

Answers

The answer is segment CA

PLEASEEE HELPPP………….

Answers

y= -1/7x - 3 :))))))))))))

If 25% of $2000 is spent on food,how much money is spent on food?

Answers

$500 just divide by 4 because 25/100 = 1/4

Answer:

$500

Step-by-step explanation:

Simply change the 25% into a decimal which is 0.25 and multiply $2000.

Or you can change 25% into a a fraction which is 25/100 and simplify giving 1/4. Then simply multiply $2000 by the fraction: 2000/1×1/4. Cross multiply which is 2000×1/1×4=2000/4. Now simply divide 2000 by 4 and you get 500 as your answer.

What is 12x40
What is 90x8,000
What is 7x9

Answers

Answer:

12 x 40 = 480

90 x 8,000 = 720,000

7 x 9 = 63

[tex]Hey! :)[/tex]

[tex]QUESTION:[/tex]

What is 12x40??

[tex]ANSWER:[/tex]

[tex]480[/tex]

[tex]QUESTION:\\90*8,000\\ANSWER:\\720,000\\QUESTION:\\7*9\\ANSWER:\\63[/tex]

[tex]^C^O^M^M^E^N^T^S^:[/tex]

Hope it helps! Brainliest?

[tex]^a^n^s^w^e^r^e^d:\\\\^*GraceRosalia^*[/tex]

Find the sum of the all the multiple of 3 beta between 100 and 301 conclusives which are multiples of 3.

Answers

Step-by-step explanation:

I'm so sorry but I don't know the answer

Jeff drank 15 ounces of Gatorade after running a race. There were 20 ounces left. How
much Gatorade was originally in the container?
Variable:
Equation:
Solution:

Answers

use x as a variable.

x = 15 + 20

x = 35

What is an equation of the line in slope- intercept form?
m=2 and the y intercept is (0,3)

Answers

Answer:

Y= 2x+3

Step-by-step explanation:

The Slope-Intercept formula is y=mx+b. M is the slope, b is the y intercept, x is the independent variable and y is the dependent variable. In order to write an equation for these types of problems, plug in the numbers for the variables.

que es una fraccion decimal

Answers

Step-by-step explanation:

listo ya está escribo esto sólo por que braynli no me deja subir la respuesta si no tiene mas de 20 palabras

Solve for x plz and thank you smmmm

Answers

The Correct Answer is 7

Answer:

12x-4=80

12x=80+4

=84

x=84÷12

=7

HELP

15.4 = -2.1 + a/0.2

Answers

Answer:

a = 3.5

Step-by-step explanation:

15.4 = -2.1 + a/0.2

Combine like terms:

15.4 = 2.1 + 5a

Swap sides:

-2.1 + 5a = 15.4

Please help with my homework

Answers

Hey please add more details or specific. It looks like you finished, or are you looking for if the answers are correct? But we will still need some information
1. X = 30
2. X = 6
3. X = 30
4. X = 20
5. X = 6
6. X = 20

Tam giác ABCD có góc B = 65 Độ góc C = 115 Độ hỏi góc A bằng bao nhiêu độ

Answers

Answer:

a

Step-by-step explanation:

kasi yun ang tama at

nain tindi han ko

A





pls give me brainliest!! <3 have a good day

452.16 rounded to the nearest tenth

Answers

Answer: 452.2

Step by Step Explanation: Find the number in the tenth place 1 and look one place to the right for the rounding digit 6 round up if this number is greater than or equal to 5 and round down if it is less than 5

.

Rounding 452.16 to the nearest tenth gives us: 452.1.

Given that we need to round 452.16 to the nearest tenth,

We look at the digit in the hundredth place, which is the second decimal place, and round 452.16 to the nearest tenth.

One is the digit at the hundredth position.

We round down because 1 is less than 5, therefore.

Simply drop all the digits following the tenths place and leave the tenths place digit alone if you want to round down.

Rounding 452.16 to the nearest tenth, we obtain: 452.1.

Hence rounding 452.16 to the nearest tenth gives us: 452.1.

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HELPPPPP plsssss i need this answer ASAP

Answers

Answer:

0.05 in decimal form or 1/20

Step-by-step explanation:

Since there are 20 blocks, we are going to divide 1 by 20.

Result: 00.5

To get it in fraction form we are going to multiply 1/4 by 1/5 and get 1/ 20 because 4 x 5 = 20. There is no way to simplify this.

Therefore, your answer would be 1/20.

-kiniwih426

f(x)=3x+10xg(x)=4x−2,(f−g)(x)

help please ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find (f - g)(x) :

[tex]f(x) - g(x)[/tex]

[tex]3x + 10 - (4x - 2)[/tex]

[tex]3x + 10 - 4x + 2[/tex]

[tex] - x + 12[/tex]

Answer:

f(x) = 3x + 10g(x) = 4x - 2

(f - g)(x) = f(x) - g(x)

(f - g)(x) = (3x + 10) - (4x - 2)

(f - g)(x) = 3x + 10 - 4x + 2

(f - g)(x) = - x + 12

(f - g)(x) = - x + 12 is the right answer.

How much force is needed to push a 10kg ball to an acceleration of 0.8 m/s2?

Answers

Answer:

Mass of the object (m)= 10kg

Acceleration of the object (a)= 2m/s^2

Force acting on the object (F)= ?

Solution

F = m × a

F = 10 × 2

F= 20N

The force acting on the object is 20N.

Step-by-step explanation:

8N of force is needed to push a 10kg ball to an acceleration of 0.8 m/s²

What is Force?

Force is an influence that can change the motion of an object.

Given,

Mass of the object (m)= 10kg

Acceleration of the object (a)= 0.8m/s²

We need to find Force acting on the object (F)= ?

Force=Mass ×Acceleration

F = m × a

Plug in the values of mass and acceleration

F =10 × 0.8

F= 8N

Hence, The force acting on the object is 8N.

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Select all the statements that best describe the table below.

Answers

The Correct choices are :

The rate of change is not constant

This is a negative relationship

The relationship is non - linear

The dependent variable is selling price

The independent variable is age

Answer:

See below

Step-by-step explanation:

The table shown inconsistent change of price over the year. The price drops down and is negative.

Correct choices are:

2, 4, 5, 7, 10

Line f Has Slope Of 4/5. Line g is parallel to line f. What is the slope of line g ?

Answers

Answer:

4/5

Step-by-step explanation:

when it is truly parallel, it must have the same slope.

if the lines would be differently steep, they cannot be parallel.

Answer:

slope of line g = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Parallel lines have equal slopes.

Then the slope of line g = slope of line f

slope of line g = [tex]\frac{4}{5}[/tex]

jack want to buy a coat that cost 74.95 the sales tax rate in his city 61/2% what is the total costfor the coat

Answers

Answer:

$79.7468

Step-by-step explanation:

guy pls help me!!!!!

Answers

Answer:

x=166 (alt angles, m//n)

x = 166°

good luck !!!! :)

A car travels 78 miles on 3 gallons of gasoline. How many miles can the car travel on one gallon of gasoline?​

Answers

Answer:

26 miles.

Step-by-step explanation:

you want to divide 78 by 3.

work out the gradient of the line y=5x-3

Answers

Answer:

The answer is 5

Step-by-step explanation:

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer. The slope is 5.

The slope is the ratio of rise to run of a line. The gradient of the line y=5x-3 is 5

How to determine the gradient of a line?

The gradient of a line is also known as the slope and it is the ratio of rise to run of a line

The standard equation of a line in slope-intercept form is expressed as y = mx +b

m is the slope or gradient

Given the equation of a line y = 5x - 3

Compare

mx = 5x

m = 5

Hence the gradient of the line y=5x-3 is 5

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Select the expression that has a value of 2.472.

A. 0.824 x 3
B. 8.24 x 3
C. 82.4 x 3
D. 824 x 3

Answers

Answer:

A. 0.824 x 3=2.472

Step-by-step explanation:

hope this helps

Have you ever wished to be a different gender than yourself?
Why or why not?

Answers

Answer:

No

Step-by-step explanation:

Because I feel whatever gender you are born ,you where born that gender for a reason .

Answer:

Yes.

Step-by-step explanation:

I have always wanted to be a boy, my personality isn't fit for a girl, I act like a boy, I look like a boy on the outside and feel like one on the inside, plus I wouldn't have to be through as much bullying and pain in my life, maybe I would have had a better life then :-(

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