State how many imaginary and real zeros the function has.

f(x) = x4 + 12 x3 + 37x2 + 12x + 36

Answers

Answer 1

Answer:

Step-by-step explanation:

If you'd graph this function on a graphing calculator or graphing utility, you'd see quickly that the graph never touches or crosses the x-axis.  This tells us immediately that there are no real roots; all four roots are complex or imaginary.

Answer 2

Answer:

2 real roots and 2 imaginary roots

Step-by-step explanation:

The roots are x=i,-i,-6,-6.


Related Questions

what is 27/9?????????? help :) plz

Answers

Answer:

it is 3

Step-by-step explanation:

Answer:

3 yessirrr

Step-by-step explanation:

Which solid has a greater volume?
O A. Figure A has a greater volume.
75
O B. Figure B has a greater volume.
O C. They are equal.
OD. It cannot be determined.
SUBME

Answers

Answer:

C. they are eqwal

Step-by-step explanation:

I took the APE_X quiz

The volume of cone and cylinder are same or equal, so they are equal is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

There are two figures one is cone and other is Cylinder.

The volume of cone can be find by using πr²h/3

r=5, h=6

Volume = π(25)(6)/3

=50π

Now to find volume of cylinder.

h=50 and r=1

Volume =  πr²h

=50π

the volumes are same for both cylinder and cone.

Hence, the volume of cone and cylinder are same or equal, so they are equal is correct.

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In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?

Answers

Answer:

y will be in every single quadrant

Step-by-step explanation:

So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex]  first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way

wuudxjwejd unm would iou hx

Answers

..................................

Answer:

PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Step-by-step explanation:

The student body of 205 wants to elect a president, vice president, and a secretary. Is an example of permutation or combination.

Answers

Answer:

Combination

Step-by-step explanation:

Permutation is likely used more for lists/ordered things.

Combination is used more for groups.

Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.

Find the number of 4-digit numbers that contain at least three even digits.

Answers

Answer:

4625 numbers

Step-by-step explanation:

To solve this problem we can separate it in different cases, and then we sum the amount of numbers of each case to find our final result.

The first case is: all four numbers are even.

We have 5 even digits, and the first digit of the 4-digit number can't be zero, so for the first digit we have 4 possible values, and for the other 3 digits we have 5 possible values, then the amount of numbers with this condition is:

[tex]N_1 = 4 * 5 * 5 * 5 = 500\ numbers[/tex]

The second case is the number having three even digits and one odd digit, and the first digit is the odd digit.

In this case, the first digit has 9 possible values (all digits but zero) and the other 3 digits have 5 possible values (even digits):

[tex]N_2 = 9 * 5 * 5 * 5 = 1125\ numbers[/tex]

The third case is the number having three even digits and one odd digit, and the first digit is not the odd digit.

In this case, the first digit has 4 possible values, the odd digit has 10 possible values and the other two digits have 5 possible values. The odd digit can be the second, the third or the fourth digit, so we multiply our result by 3 (because we will find the same result if we choose the odd digit to be the second, third or fourth):

[tex]N_3 = 3 * 4 * 10 * 5 * 5 = 3000\ numbers[/tex]

So the final result is the sum of these cases:

[tex]N = N_1 + N_2 + N_3[/tex]

[tex]N = 500 + 1125 + 3000 = 4625\ numbers[/tex]

Suppose that alpha is inversely proportional to beta. If alpha = -6 when beta = 12, find alpha when beta = -2.

Answers

Answer:

36

Step-by-step explanation:

Equation for an inversely proportional relation, where y is inversely proportional to x:

[tex] y = \dfrac{k}{x} [/tex]

Here we have:

[tex] \alpha = \dfrac{k}{\beta} [/tex]

We use the known ordered pair to find k.

[tex] -6 = \dfrac{k}{12} [/tex]

[tex] k = -72 [/tex]

The relation is:

[tex] \alpha = \dfrac{-72}{\beta} [/tex]

For beta = -2,

[tex] \alpha = \dfrac{-72}{-2} [/tex]

[tex] \alpha = 36 [/tex]

Calculus.
Only need answer yo question number 30,14,10 pleassse

Answers

Answer:

See below in bold.

Step-by-step explanation:

14. f(x) = x^6 e^x

Applying the Product Rule:

f'(x) = x^6 e^x + 6x^5 e^x

= e^x(x^6 + 6x^5).

10. f(x) = x^3 - 4

y = x^3 - 4

x^3 = y + 4

x = ∛(y + 4)  so:

f-1(x) = ∛(x + 4).  (you are correct.)

30. 3 sinh 2

=  3(e^4 - 1) / 2 e^2

= 10.88058

= 10.881.

Can you please say if the point is on the line?

Answers

I think the answer is is 5-10 because I use to do this before and all ways did it right.

Given the following function, find f(-5), f(0), and f(2).
f(x) = - 3x-5
f(-5) =

Answers

Answer:

10, -5, -11

Step-by-step explanation:

f(x) = - 3x-5

f(-5) = -3(-5) - 5 => 15 - 5 => 10

f(0) = -3(0) - 5 => 0 - 5 => -5

f(2) = -3(2) - 5 => -6 - 5 => -11

The value of the function at x = –5, 0, 2 will be 10, –5, and –11.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11

More about the function link is given below.

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The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynomial? Check all that apply! I will mark as brainliest:D​

Answers

Answer:

(3/2, 0+), (-1, 0+)

Step-by-step explanation:

An exact "zero" of a polynomial is characterized by a point on the x-axis.  In this case the best approximation to that is the point (3/2, 0+); the next best approximation is (-1, 0+).  Note that neither of these two points actually lies on the x-axis, but that both are closer to the x-axis than are any of the other given points.

The x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0.

The roots of a polynomial occur where the graph crosses the x-axis

x=1.1

x=4.1

Hence, the  x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

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another algebra problem i cant solve

Answers

Answer:

where is the problem?

Step-by-step explanation:

7) Which author's point of view is MOST SUPPORTED in the passage?
A)
The author respects and admires qualities in the
queen.
Eliminate
B)
The author is deeply saddened by the death of the
queen.
Te
The author is heavily critical of the queen's ignorant
politics
D)
The author feels the trip to Ireland contributed to 'her
worsening condition​

Answers

Answer:

I think A is the MOST supported of all of the options.  The author spends the majority of the writing remarking and complimenting the Queen's strength and desire to be concerned with the people of her land.

A) The author respects and admires qualities in the queen.

Step-by-step explanation:

HOPE THIS HELPED!!  :)

I WILL GIVE BRAINLIEST - There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?

Answers

Answer:

You can choose one senator in 2 ways from the first of the 3 states; in 2 independent ways from the second of the 3 states; and in 2 independent ways from the third of the 3 states.

Step-by-step explanation:

So the answer to that question is 2*2*2*19600 which = 156800 ways.

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup. Based on this, about how many grains of sand would there be in a 5-gallon container (note: 1 gallon = 16 cups). Write the result in scientific notation.

Answers

Answer:

[tex]3.5725 * 10^5[/tex]

Step-by-step explanation:

Given

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.

Required

How many grains of sand would there be in a 5-gallon container?

Let x represent the number of grains in 5 gallon; So, From the question, we have that;

8 cups = 3.5725 * 10^4

5 gallon = x

Cross Multiply

x * 8 cups = 5 gallon * 3.5725 * 10^4

Recall that 1 gallon = 16 cups

[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]

[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]

Divide both sides by 8

[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]

[tex]x = 10 * 3.5725 * 10^4[/tex]

[tex]x = 3.5725 * 10^5[/tex]

Hence, the number of grains of sand in  5 gallon is [tex]3.5725 * 10^5[/tex]

Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFraction 7 Over 8 EndFraction foot Negative one-fourth foot –1 foot –2 feet Negative StartFraction 5 Over 8 EndFraction foot. If You Help ME and GET it CORRECT u will give u brainiest

Answers

Answer:

[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot

Step-by-step explanation:

We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot

We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?

i) [tex]-\frac{7}{8}[/tex]

So, this location is not  higher than [tex]\frac{-3}{4}[/tex]foot

ii)[tex]-\frac{1}{4}[/tex]

So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]

So, this location is higher than[tex]\frac{-3}{4}[/tex] foot

iii) - 1 foot

[tex]-1 < \frac{-3}{4}[/tex]

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

iv)-2 feet

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

v)[tex]\frac{-5}{8}[/tex]

So, this location is higher than [tex]\frac{-3}{4}[/tex]foot

Answer: B, E

Step-by-step explanation:

The guy above is right but just to make it more easy

a+2=6 explain pkleaseeeeeeeeeeeeeeee

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

a = 4

▹ Step-by-Step Explanation

a + 2 = 6

Subtract 2 from both sides

2 - 2 = crossed out

6 - 2 = 4

Final Answer

a = 4

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

a=4

Step-by-step explanation:

If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)

There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 5 numbers?

Answers

Answer:

252 sets

Step-by-step explanation:

The set given to us is:

{0,1,2,3,4,5,6,7,8,9}

Total number of elements in set = n = 10

Number of elements to be included in seach set = r = 5

As the order doesn't matter, we can use the combination formula to find number of different combinations if we choose 5 numbers from the given 10 numbers with no repetition:

C(10,5) = 10!/(5!)(10-5)!

C(10,5) = 10!/(5!)(5!)

C(10,5) = 10·9·8·7·6/ 5·4·3·2·1

C(10,5) = 252

Thus 252 sets can be formed which contains any of the 5 numbers from the sets

BRAINLIEST TO FIRST ANSWER PLEASEEE HELPPP!!! The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . Explain where each the numerator and denominator come from. What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.

Answers

Answer:

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

p = 1/72

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

Step-by-step explanation:

The probability that the team selects the same order as last performance is 1 divided by 362880

Explain where each the numerator and denominator come from

The probability that the team selects the same order as last performance is

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

Total number of dancers = 9

The 1st dancer can be selected in 9 ways

The 2nd dancer can be selected in 8 ways

The 3rd dancer can be selected in 7 ways

The 4th dancer can be selected in 6 ways

The 5th dancer can be selected in 5 ways

The 6th dancer can be selected in 4 ways

The 7th dancer can be selected in 3 ways

The 8th dancer can be selected in 2 ways

The 9th dancer can be selected in 1 ways

So the total number of ways = 9×8×7×6×5×4×3×2×1 = 362880

What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position?

Lets us put the top hip hop dancer in the third position and top break dancer in the first position then the remaining 7 dancers can be selected in

7×6×5×4×3×2×1 = 5040 ways

So the required probability is,

P = 5040/362880

P = 1/72

P = 0.0139

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

Use the data set shown below to complete the sentence.
3, 3, 4, 5, 5,9
The mean
the median. is it greater than, is less than or is equal to​

Answers

Answer:

is greater than

Step-by-step explanation:

Mean: sum of numbers ÷ how many numbers there are

3 + 3 + 4 + 5 + 5 + 9 = 29

29 ÷ 6 = 4.83333

Median: middle number

3   3   4   5  5  9  

4 + 5 = 9

9 ÷ 2 = 4.5

4.83333 > 4.5 so the mean is greater than the median.

Hope that helps. :)

plz help
urgent !!!!
will give the brainliest !!​

Answers

Answer:

[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]

Step-by-step explanation:

The question we have at hand is, in other words,

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]

If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]

Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,

[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,

[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]

At this point we have to multiply the rows of the first matrix by the rows of the second matrix,

[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,

[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...

[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.

Aram's four children are now 1, 5, 7, and 9 years old. In how many years will the sum of the ages of two of his children be twice the sum of the ages of the other two children?

Answers

Answer:

In 2 years

Step-by-step explanation:

age right now 1,5,7,9

Let the number of years in which the sum of the ages of two of his children be twice the sum of the ages of the other two children=x

Therefore Age of the children after x years will be 1+x,5+x,7+x and 9+x

2[1+x + 5+x] = (7+x)+(9+x)

2[6+2x]= 7+9+x+x

12+4x=16+2x

4x-2x=16-12

2x=4

x=4/2=2

Let's verify if the answer is correct

-- Verify by substituting the value of x in this 2[1+x + 5+x] = (7+x)+(9+x)

2[1+2 + 5+2] = (7+2)+(9+2)

2[10]=9+11

20=20

Therefore 2 years is the answer

We are required to find the number of years when the ages of two of his children be twice the sum of the ages of the other two children?

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

Child 1 = 1 year

Child 2 = 5 years

Child 3 = 7 years

Child 4 = 9 years

let

x = number of years it will take for two of his children be twice the sum of the ages of the other two children

twice the age of the two younger children in the unknown year equal the age of the two older children in the unknown year

2{(1 + x) + (5 + x)} = (7 + x) + (9 + x)

2(1 + x + 5 + x) = 7 + x + 9 + x

2(6 + 2x) = 16 + 2x

12 + 4x = 16 + 2x

12 - 16 = 2x - 4x

-4 = - 2x

divide both sides by -2

-4 / -2 = x

x = 2

Therefore,

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

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What are the domain and range of f(x) = 4x – 8? A. domain: {x | x is a real number}; range: {y | y > –8} B. domain: {x | x is a real number}; range: {y | y > 8} C. domain: {x | x > 4}; range: {y | y > –8} D. domain: {x | x > –4}; range: {y | y > 8}

Answers

Answer: Non of the options is correct.

Step-by-step explanation:

Domain of a function are the minimum and maximum values of independent variable (x).

You are given the function:

f(x) = 4x – 8

The domain can be any real numbers.

Range is the minimum to maximum value of dependent variable ( y )

From the given equation:

f(x) = 4x – 8

If the value of domain are substituted, the range will also be any real numbers.

Non of the answers is correct because both the domain and the range are all real numbers.

But the best option among the given option is option A:

domain: {x | x is a real number}; range: {y | y > –8}

Answer:

A on edg

Step-by-step explanation:

FOLIUS
Select the two binomials that are factors of 49x2 - 36.
I A. 7x + 6
B. 7x + 12
OC. 7x-6
D. 7x - 3

Answers

Answer:(7x - 6)(7x + 6)

Step-by-step explanation:

Answer:

answer is just C and

Step-by-step explanation:

Please help me I give brainliest when I can

Answers

Answer: X=7 y=0

Step-by-step explanation:

first transfer the -6y over than multiply it by 2 so the x's are equal then subtract the bottom equation from top equation and you get y = 0 then solve each equation with y = 0 and you get x = 7

<!> Brainliest is appreciated! <!>

Answer:

y = 0

x = 7

Step-by-step explanation:

First substitute

[tex]First\\ substitute\\\\2(-6y+7)-9y=14\\\\Then \\ distribute\\\\-12y+14-9y=14\\\\Then\\ combine \\like \\terms\\-21y=0\\\\Then\\ divide\\y=0\\\\Then \\substitute\\x=-6(0)+7\\\\Then\\Distribute\\\\x=0+7\\\\Then\\combine\\like\\terms\\\\x=7\\[/tex]

Hope it helps <3

(Please give brainliest, this took forever :) )

How many ways can you distribute 4 different balls among 4 different boxes?

Answers

Answer:

16?? not sure.......

it can be 14 or it can be 256 (4 to the power of 4)

A line passes through the point (4, –2) and has a slope of One-half.

A coordinate plane.

What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6

Answers

Answer:

a = -6

Step-by-step explanation:

The given line in point-slope form is y + 2 = (1/2)(x - 4).

Replacing x with -4 yields                   y + 2 = (1/2)(-4 - 4)  =  (1/2)(-8)

Then y + 2 = -4, and so y = -6, or a = - 6.

Answer:

-6

Step-by-step explanation:

Algebra help needed

Answers

Answer: I had the same one

Step-by-step explanation: I DON'T GET IT EITHER

Miranda has 5 shirts and 4 pairs of pants that she uses for her work clothes. How many different outfits can be assembled using 5 shirts and 4 pair of pants?

Answers

Answer:

20

Step-by-step explanation:

lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d

combinations include:

Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed

however, it isn't necessary to write out all the combinations as you could just do 5*4=20.

Set of shirts {a,b,c,d,e}
Set of pants {1,2,3,4)

You can have 4 different pants for each shirt so

1a 2a 3a 4a repeat that 5x for each shirt to get 20 different combinations

Please help its eighth math!

Answers

Answer:

t and u are parallel lines

 s and t are also parallel lines

Step-by-step explanation:

If two parallel lines are cut by a transversal ,

then in it

pair of alternate angle are equals, similarly vice versa

if pair of alternate angle are equals then lines are parallel

pair of corresponding angles are equal and vice-versa

for example

in the given problem

if line t and u are parallel (note we have assumed this to give example of parallel lines)

then angle 7 and 9 are called alternate angles

pair of angles 5 and 9 are corresponding angles.

________________________________________________

given

∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,

thus t and u are parallel lines

___________________________

∠1 = ∠3 as they vertically opposite angles

and we know that pair of  vertically opposite angles are equal

given

∠1 = ∠7

thus

∠3 = ∠7

as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line  s and t are also parallel.

Other Questions
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