What are the solutions of 3x2 + 6x + 6 = 0?

A. −2 ± i
B. −2 ± 2i
C. −1 ± i
D. 1 ± i

Answers

Answer 1

Answer:

C

Step-by-step explanation:

3x² + 6x + 6 = 0 ( divide through by 3 )

x² + 2x + 2 = 0 ( subtract 2 from both sides )

x² + 2x = - 2

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 2 + 1

(x + 1)² = - 1 ( take square root of both sides )

x + 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( subtract 1 from both sides )

x = - 1 ± i → C


Related Questions

An inch is exactly 2.54 centimeters. Write an equation to convert the number of inches x to the corresponding length in centimeters.

Answers

Answer:

What's 2.54 cm in inches?

To convert cm to inches, divide your cm figure by 2.54 or multiply it by 0.3937. As an example, let's say you have a piece of wood measuring 50cm and you want to convert it into inches. To get your answer, divide your cm figure by 2.54. So, 50 ÷ 2.54 = 19.685 inches.

Step-by-step explanation:

Answer: 2.54x12 is 30.48

We can write:

2.54x

Where 'x' is the number of inches.

Plug in 12 for 'x':

2.54(12)

30.48

So 12 inches is approximately 30.48 centimeters.

i need help what is the answer

Answers

-4 because they are both the y axis

When the points are in the SAME quadrant, what operation do you do to find the distance between them?

Answers

Use this formula, it’s called distance formula

I don't understand this question, can someone help please?
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation
7x – 10y = 3. Is this a good model? Explain your reasoning.

Answers

Answer:

No. Correct is 7x - 10y = 6.

Step-by-step explanation:

The slope of the line is (-9-5)/(-12-8) = 7/10

y - 5 = 7/10(x - 8)

10y - 50 = 7(x - 8)

10y - 50 = 7x - 56

7x - 10y = -50 + 56

7x - 10y = 6.

Answer:  No, it's not a good model

Explanation:

Let's plug in x = 8 and y = 5. This is directly from the ordered pair (8,5).

7x - 10y = 3

7*8 - 10*5 = 3

56 - 50 = 3

6 = 3

We get a false equation at the end, which means the original equation is false when (x,y) = (8,5). Therefore, the point (8,5) is not on the line 7x-10y = 3. Furthermore it means that 7x-10y = 3 is not a good model since Devon wanted the line to pass through both given points.

If you were to plug in (x,y) = (-12,-9), then you would find the same thing happens. For each ordered pair, the left side results in 6. So if Devon were to change that "3" to "6", then it would be a good model as both points would be on the line. In other words, the standard form equation Devon should use is 7x-10y = 6. When solving for y, Devon would get y = (-7/10)x - 3/5

Below is visual confirmation that 7x-10y = 3 is not a good model. Both points are not on the line. The graph was made using GeoGebra.

A rectangle has an area of 140m2.
One of the sides is 10m in length.
Work out the perimeter of the rectangle.

Answers

Answer:

40 m

Step by step explanation:

140/10 = 14m
10 + 10 + 14 + 14 = 48m

A delivery company's charge for an overnight package weighing in excess of one pound is given by the formula c= 2.53w + 15, 16
where w is the weight of package in pounds. Find the following.

Answers

What’s the question or equation? Is there a picture?

What is the surface area of this square pyramid? ft^2 on ft

2 ft^2
.
4 ft^2

2 ft² .

2 ft^2

2 ft²

Answers

4ft^2 I believe it is what goes 4ft<2^2

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=14(1.21)^x

Answers

Answer:

r:its a growth by 51%

Step-by-step explanation:

np

What is the justification for each step in the solution of the equation?

5x−42=2x−1

Answers

Answer:

39.6

Step-by-step explanation:

collecting like terms we have:

5x-2x=-1+42

equating the terms..we have:

3x=41

divide both sides by the Co-efficient of x:

3x\3=42\3

x=39.6

Answer:

What is the justification for each step in the solution of the equation? 5x−4/2=2x−1 Select from the drop-down menus to correctly justify each step. 5x−42=2x−1 Given 5x−4=2(2x−1) Choose. 5x−4=4x−2 Choose. 5x=4x+2 Addition or Subtraction Property of Equality x=2 Choose. Options Addition or subtraction property of equality Multiplication or division property of equality Distributive property of.

__________________________________________________________

5x−4/2=2x−1

Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given

5x−4=2(2x−1) Choose.

5x−4=4x−2 Choose.

5x=4x+2 Addition or Subtraction Property of Equality

x=2 Choose.

Options

Addition or subtraction property of equality

Multiplication or division property of equality

Distributive property of equality

Combine like terms

The “/” Is for a fraction

Will give brainliest... Need assistance ASAP!

Answers

Answer:

C

Step-by-step explanation:

It's C because the rest of the graphs that do start with 0 are not linear and if she wants the mixture to be porptional is must be straight, B is not straight meaning the only other option left to the answer is C.

Answer:

A

Step-by-step explanation:

Another name for proportional is equivalent. As you can see, option A has a straight line. This shows proportionality, therefore, "A" is the answer.

evaluate the expression using the order of operations. show each step of work​

Answers

Answer:

-73

Step-by-step explanation:

Here's the solving step

Please help ASAP !!!

THANKS!!

Answers

Answer:

rotation

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

I think its reflection because if you reflect them across the y axis then the x axis I believe they will be in those positions.

Am I right or wrong? If I'm wrong which is right?

Answers

Answer:  The correct answer is (3x+1)(x-4)

Step-by-step explanation:

(3x+1)(x-4)

3x(x-4)            +               1(x-4)

3x^2 - 12x       +                  x-4

3x^2 - (12x + x)-4            

3x^2 - 11 x - 4  

A car travels at a constant speed of 56 mph for 2 hours. How far does the car travel in this
time?

Answers

Most definitely 5.75 or less than

solve linear equation 1/4x+18=x

Answers

Answer:

Solve it

Explain:

1

Combine multiplied terms into a single fraction

1

4

+

1

8

=

\frac{1}{4}x+18=x

41​x+18=x

1

4

+

1

8

=

i need help please thanks​

Answers

I think the right answer is 20 miles per hour because
At the hour 2 Kevin drove 90 miles from home and Brian drove 110 miles and
110-90=20

If the number of molecules in 1 mole of a substance
is 6.02 x 1023, then the number of molecules in 100
moles is

Answers

Answer:

6.02 x 10^25

Step-by-step explanation:

6.02 x 10^23 molecules/  mole

In 100 moles

100 = 10^2

(6.02 x 10^23 molecules/mole) * (10^2 moles)

when multiplying numbers with the same base

add the exponents

6.02 x 10^25 molecules

Jitters sells a 12-oz. cup of coffee for $2.70, and she sells a 20-oz. cup for $4.50. Which cup size is a better deal per ounce?

Answers

Answer: both are the same

Step-by-step explanation: since  2.70÷ 12= 0.225  and  4.50÷ 20= 0.225

john brought 6 roses and a $20 basket for the roses. he spent a total of $71.00 .find the price of each roes

Answers

Answer:

$71.00 - $20 = $51

51 divided by 6 = 8.5!

Step-by-step explanation:

71-20=51
51 divided by 6= 8.50

answer: each rose is $8.50

In the Diagram below DE≅AE ,BA∥CE
, CB∥DA
and m∠C=65∘

Find m∠BAE

Answers

Answer:

∠ DAE = 130°

Step-by-step explanation:

ABCD is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ BAD = ∠ BCD = 65°

∠ ADE = ∠ BAD = 65° ( alternate angles )

Since DE = AE then Δ ADE is isosceles with 2 base angles congruent, that is

∠ DAE = ∠ ADE = 65°

Then

∠ BAE = ∠ BAD + ∠ DAE = 65° + 65° = 130°

If I have two points (0,2) and (4,5) how do I find the y-intercept and the slope?​

Answers

Answer:

the train leave was in JIt room but I am not sure how to make and the other way

Step-by-step explanation:

ok aw and a few of them have been missing out in all of the following is the comparatives on a new

what must be added to a^2+3/5a​

Answers

This question doesn’t really make sense- is it multiple choice, if so what are the options? A can be anything as long as it’s the same?

Pls help.......
[tex]100 - j = j - 40[/tex]

Answers

100 - j = j - 40

100 + 40 = j + j

140 = 2j

140/2 = j

70 = j

_____

RainbowSalt2222 ☔

J=70
100-70=30
70-40=30

Find the exact circumference.

Answers

Answer:

25π

Step-by-step explanation:

C= πd

d=√(24²+7²)=√(576+49)=√625=25

C=25π

Answer:

Step-by-step explanation:

First off, divide 24 by 2 as that would give you the radius of the circle

24cm / 2cm = 12cm

Next, use the formula to calculate the circumference of a circle and plug in radius:

C = 2 x π x r

   = 2 x π x 12cm

   = 75.40cm is the circumference

how do you translate nine equals the quotient of a number and 54

Answers

Answer:

9 = [tex]\frac{n}{54}[/tex] or n ÷ 54

Step-by-step explanation:

nine equals the quotient of a number and 54

       /\

9 = the quotient of a number and 54

             /\

9 =       will be division of a number and 54

                                /\

                    9 = [tex]\frac{n}{54}[/tex] or n ÷ 54

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

si tienes 3 botellas de ¼ de litro , 2 botellas de 1.5 de litro y 5 botellas de 1 litro ¿ cuántos litros son en total?

Datos.



plan







Operación






resultado​

Answers

Answer: yes,

Step-by-step explanation:

simple, because of course I' like playing rocket league ScrubKilla on YT

Datos:
3 botellas de 1/4 Lt.
2 botellas de 1.5 Lt.
5 botellas de 1 Lt.


Plan: sacar el total de litros.



Operación
Multiplicar:
1/4 x 3 =3/4

1.5 x 2 = 3


5 x 1 = 5


Ahora sumar los productos:

5 + 3 + 3/4 = 8 3/4

a deer can run for 2 hours at the speed of 45 mph how far can It run in that time​

Answers

Answer:

90 mph

Step-by-step explanation:

if it can go 45 mph, in 2 hrs, it should go 90

45*2=90

90 miles

if in one hour the deer runs 45 mph multiply that by 2 (hours) you get 90 miles.

You are taking a​ multiple-choice test that has questions. Each of the questions has answer​ choices, with one correct answer per question. If you select one of these choices for each question and leave nothing​ blank, in how many ways can you answer the​ questions? You can answer the questions in enter your response here ways.

Answers

Answer:

Step-by-step explanation:

um you can answer them in many ways?

HELP!The composite scores of individual students on the ACT college entrance examination in 2019 followed a Normal distribution with mean 20.8 and standard deviation 5.8
Use this to answer the 3 questions below

Answers

Answer:

Step-by-step explanation:

Round these as you see fit (these are exact values, if you're supposed to use a normal table leave a comment)

1.) 0.418045324790463

2.)0.0717364877620478

3.) 0.0192746613260287

Today everything at a store is on sale the store offers a 20
% discount the regualr price of a t shirt is 18 what is the discount price

Answers

Answer:

$14.40 is the discount price.

Step-by-step explanation:

0.2 x 18 = 3.6

18 - 3.6 = 14.4

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