3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.

A. -1.5, 0.3 + 1.9i, 0.3 -1.9i
B. -2, √3, -√3, i√3
C. -2, i√3, -i√3
D. -1.5, 0.3 + i√1.9, 0.3 – √1.9​

Answers

Answer 1

Answer:

it is C

Step-by-step explanation:


Related Questions

what is 4(x-1)^2+2=10

Answers

Answer:

Answer below

Step-by-step explanation:

4(x−1)

​2

​​ =10−2

4(x−1)

​2

​​ =8

(x−1)

​2

​​ =

​4

​8

​​

(x−1)

​2

​​ =2

x −1=±√

​2

x−1=√

​2

​​

x-1=-\sqrt{2}x−1=−√

​2

​​

x=√

​2

​​ +1

x=−√

​2

​​ +1

x=√

​2

​​ +1,−√

​2

​​ +1

in 7 hours, the temperature on the slopes of a mountain ski resort fell from 9° f to 2° f. what was the average change per hour.​

Answers

Answer:

1 deggre per hour

Step-by-step explanation:

what function best models the data and what wil be the chicken breast after 50 miutes​

Answers

Answer:

Students use linear, quadratic, and exponential functions to model data from tables and choose the regression

most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a

regression model and then interpret the function in context. They then make predictions based on their model

and use an appropriate level of precision for reporting results and solutions.  

Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked

to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used

calculators to write linear regressions) and apply similar techniques for data sets that are

better suited to modeling with quadratic or exponential regressions. Students use that

same technique to find linear regressions and use their graphing calculators to examine

the correlation coefficient and to find quadratic and exponential regressions. They

compare correlation coefficients to determine which model is best for the data.

Ultimately, students choose the regression model (linear, quadratic, or exponential) most

appropriate to a given data set and then write, verify, and interpret these models in

context. Students need a graphing calculator to complete this lesson. Graphing calculator

instructions are provided, but steps may vary slightly depending on the model of the

graphing calculator.

Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS

and page 72 of the CCSSM).

Scaffolding:

 Students are more

engaged when working

with relevant and real data

that interests them.

Websites that provide

data sets are a good

resource for classroom

investigations.

 This lesson might need to

be divided into two days if

students need more time

to master the technology.

Step-by-step explanation:

Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end with 3 vowels

Answers

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

A corporation is having a shareholders meeting to vote on a new issue. Not all shareholders are able to attend. In fact, most usually do not. The ownership of the corporation is represented by 2,351,00 shares of stock owned by 111,273 shareholders. Must all of the shareholders own more than one share of stock? If 3,411 shareholders attend the meeting, what percent of the shareholders attended the meeting? Round to the nearest percent. If the shareholders who do not attend own a combined 1.8 million shares of the corporation and the shareholders are voting on a particular issue, these shareholders can vote by proxy - an absentee ballot. If 100,000 of the shareholders vote by proxy, what percent of the shareholders did not vote at all?? Round to the nearest percent.

Answers

Answer:

a) The percentage of the shareholders who attended the meeting is 3%.

b) The percentage of the shareholders who did not vote at all is 7%.

Step-by-step explanation:

a) Data and Calculations:

Outstanding shares = 2,351,000

Number of shareholders = 111,273

Number of shareholders who attended the meeting = 3,411

The percentage of the shareholders who attended the meeting = 3,411/111,273 * 100

= 3.065

= 3%

Absent shareholders = 107,862 (111,273 - 3,411) and own 1.8 million shares

Proxy voters =               100,000

Non-voting shareholders 7,862

Therefore, the percentage of shareholders who did not vote at all

= 7,862/111,273*100

= 7.0655

= 7%

Find the 3 ×3 matrix that produces the described composite 2D transformation​ below, using homogeneous coordinates. Translate by ​( −6​, 3​), and then scale the​ x-coordinate by 0.3 and the​ y-coordinate by 1.3.

Answers

Answer:  

               「0.8   0   -2

                    0    1.2   3

                    0     0     1 」

Step-by-step explanation:

The [tex]3\times 3[/tex] matrix will be "[tex]\left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]".

According to the question,

The [tex]3\times 3[/tex] with homogenous coordinates is:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

Translation from (0, 0) to (a, b) will be:

[tex]T = \left[\begin{array}{ccc}1&0&a\\0&1&b\\0&0&1\end{array}\right][/tex]

Here,

a = -6b = 4

Translation by (-5,4)

[tex]T = \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]

Now,

Let's find the scaling matrix 5.Scale the x-coordinated by "0.3" and y-coordinates by "1.3".

i.e.,

[tex]S = \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right][/tex]

then,

The [tex]3\times 3[/tex] matrix will be:

→ [tex]A = ST[/tex]

      [tex]= \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right] \ \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]

      [tex]= \left[\begin{array}{ccc}0.3&0&-0.3\times 6\\0&1.3&1.3\times 3\\0&0&1\times 1\end{array}\right][/tex]

      [tex]= \left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]

Thus the above answer is correct.

       

Learn more about Matrix here:

https://brainly.com/question/9035564

Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6.
PLS PLS HELP ME

Answers

x + y + 6 = 5
x - y + 18 = 9

2x + 24 = 14 minus 24
2x = -10 divided by 2
x = -5

-5 + y + 6 = 5
y = 4

Volume of 120 grams divided by 480cm3

Answers

Answer:

= 0.25 g/cm3

Step-by-step explanation:

this is called density the grams per volume.

density = mass

               volume

             =   120g

                480cm3

  = 0.25 g/cm3

1) Which statement below is equivalent to - 15 - 12? Ex choice. a) - 15 + 12=-3 b) -15 +-12=-27 c) 15 - 12=3 d) 15--12=-27 ANSWER: EXPLAIN:​

Answers

ANSWER: B
It’s equivalent to -15-12

Cuales son los gráficos que nos permiten analizar el movimiento rectilíneo

Answers

Step-by-step explanation:

Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).

A car travels 20 miles in half an hour at constant speed is

Answers

A car that travels 20 miles in 1,2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3,4 hour at a constant speed.

Find the slope of the following line. y=−5x+6

Answers

Answer:

5 or [tex]\frac{5}{1}[/tex]

Step-by-step explanation:

In the formula y = mx + b, m stands for slope and b stands for y- intercept!

the equation is in the form y=mx+b where m is the slope so... slope equal to -5 or -5/1

ANS: -5

Can you solve this please

Answers

Answer:

( 5 × 9 ) + (5 × 4 )

Step-by-step explanation:

Anybody know how to solve for Y

Answers

Answer: y = 108

Step-by-step explanation:

Here is the complete solution

What fraction does Point A on the number line below represent?

3/8
-3/8
6/8
-6/8

Answers

The a A points to 3/8.
Yeah it would be positive 3/8

Joe has 6 marbles. Joe and Kay have 11 marbles. Kay and Sara have 7 marbles. How many marbles does Sara have?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Joe = 6

J + K = 11

Kay = 5

K + S = 7

Sara = 2

What are there fractions equivalent to 6/24

Answers

Answer: Remember how to find equivalent fractions? Here are some:

1/4, 2/8, 3/12, 4/16, 5/20, 25/100, 90/360, 1800/7200

To find all of these, there's a simple method- multiply the denominator and the numerator by the same number. As long as you make sure to use the same number for both the top AND the bottom, you'll always have an equivalent fraction. For example,

1                1800            1800

---    x     --------------   =   ---------

4               1800             7200

This works because, as you may have noticed, any muliplier you use is in the form of n over n, which, of course, is equivalent to one whole or 100%. Make sense?

The three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The given fraction is 6/24.

Simplify the fraction:

6/24

= 3/12

= 1/4

Divide and multiply the above fraction by 2:

2/8

Hence, the three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

Learn more on fractions here:

brainly.com/question/10354322

#SPJ2

Solve this inequality for x 81-1 1/5x < 55

Answers

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

fred can complete a work in 6 days and Paul can complete a work in 3 days. if fred and Paul work together, how many days can the work be completed?​

Answers

Answer:

I think its 3 or 2 days bc if paul can get two works done by the time fred can get one done then the days should be divided.

Step-by-step explanation:

While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive.

Answers

Answer:Alex found 3 jellyfish for very sea turtle.

Step-by-step explanation:

Answer:

3 jelly fish

Step-by-step explanation:

Estimate 511 x 637 by first rounding each number so that it only has 1 nonzero digit.

Answers

Answer:

Step-by-step explanation:

511 * 637 = 500 * 600

              = 300000

511. Here ten's place is 1 and its <= 5. So, it is 500

637. Here ten's place is 3 and its <= 5. So, it is 600

Answer:

300,000

Step-by-step explanation:

Rounding so that a number only has 1 nonzero digit means that you should round to the nearest hundred. Remember when rounding look to the digit to the right of where you are rounding to, if that is 4 or less round down and if it is 5 or greater round up. So to round 511 look at the tens place, since it is less than 4 it rounds to 500. To round 637 look at the tens place, since it is also less than 4 round down to 600. Then to multiply 500 x 600 just multiply the first digits, 5 x 6=30, then add the zeros. In total there were 4 zeros in the estimated equation so the final answer would be 300 plus four zeros.

So 500 x 600=300,000

PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!

QUESTION: 5y+(-5)=10

STUDENT WORK: IMAGE DOWN BELOW

1. Explanation of Errors Made

2. Correct Solution (show all work)

Answers

Answer:

Step-by-step explanation:

5y + (- 5) = 10

The first mistake made in the image was when they subtracted from an already negative number. You add 5 to both (-5) and 10, which would be 5y = 15, due to the fact that 5 is being multiplied by y, you divide both sides by 5, making 3 the correct answer.

1. 5y + (-5) = 10

2. 5y +5 +5

3. 5y = 15

4. 5y/5 15/5

5. y = 3

#2 which table describes a function ??

Answers

Answer:

H.

Step-by-step explanation:

A function can only have one y-output per x-input (However, it is ok for one y-output to have multiple x-inputs). The only table that doesn't contain two y-outputs for one x-input is H.

the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is 3480,find the number of terms and the common difference of this arithmetic sequence​

Answers

Answer:

40 terms

Step-by-step explanation:

Sum of n terms formula:

Sn = 1/2n(a1 + an)

Solving for n

3480 = 1/2n(9 + 165)3480 = 87nn = 3480/87n = 40

Answer:

Required Answer:-first term =a=9Last term =l=165 Sn=3480

As we know that in a AP

[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {1}{2}}(a+l)n[/tex]

Substitute the values

[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}} (9+165)n[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}}(174)n[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {174}{2}}n [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3480=87n [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf n={\dfrac {3480}{87}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf n=40[/tex]

[tex]\therefore[/tex]Number of terms=40.

For the function h(x)=4x-6 find the following: a. f(0) b. f(3) c. f(1/4)

Answers

Answer:

a.) -6

b.) 6

c.) -5

Step-by-step explanation:

Plug in each value for x

f(0) = 4(0) - 6 = -6

f(3) = 4(3) - 6 = 6

f(1/4) = 4(1/4) - 6 = -5

Answer:

a f)0)=4(0) - 6= -6

b f(3)=4(3) - 6=6

c f(1/4)=4(1/4)_6= -5

The science center has 200 people in attendance on Monday. The center expects Saturday's attendance to be 140
percent of Monday's attendance. Natasha is trying to figure put how many people will be in attendance. Her work is
shown below.
part 140
whole 100
140-2 ?
100x2200
140-2-70
70 people will be in attendance.

Answers

Answer:

Natasha should have multiplied 140 by 2

Answer:

A

Step-by-step explanation:

Answer this please thanks

Answers

Answer:

The answer is yes, since the graph is an equal line throughout.

Step-by-step explanation:

Flying Home for the Holidays
Does the airline you choose affect when you'll arrive at your destination? The dataset Arrival Times contains the difference
between actual and scheduled arrival time from 1000 randomly sampled December flights for two of the major North American
airlines, Delta Air Lines and United Air Lines. A negative difference indicates a flight arrived early. We are interested in testing
whether the average difference between actual and scheduled arrival time is different between the two airlines.

Answers

Answer:

i think its they are diffrent scheduleds

Step-by-step explanation:

Can a triangle be drawn with side lengths 8.4 inches, 9.2 inches, and 17 inches?

Answers

Answer:

yes

Step-by-step explanation:

based on the triangle inequality theorem, add the two smallest numbers together (8.4,9.2) to get 17.6 which is bigger than 17

What is R ^-3 x R ^5

Answers

Answer:

that's good and I'm good

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