Factor the polynomial function over the complex numbers.



f(x)=x4−x3−2x−4



Enter your answer in the box.

f(x)=

Step-by-step explanation:

y = x+13

If x = 5

Then,

y = 5 + 13

y = 18

Hence,

The value of y is 18.

Answer:

y=18

Step-by-step explanation:

y=(5)+13

5+13=18

y=18

Answer:

You have to show the question

Step-by-step explanation:

Step-by-step explanation:

Hope I am not wrong! I did my best I could!

Sorry for the mistakes and my bad writing!

Answer:

$7,025

Step-by-step explanation:

The answer to this is 16

Answer:

9.9

Step-by-step explanation:

Optional (extra) info to understand length of other leg:

This triangle is an iscoceles, how can I (or we) tell?? Well, the angles of a triangle always add up to 180° and we know the angles of 2 corners, 90° and 45° so we can do this to find the last angle where "c" is the unknown corner:

180 - (90 + 45) = c

180 - 135 = c

45 = c

so "c" is also equal to 45° so we can decisively conclude that this figure is an iscoceles triangle.

How to find x:

Use the pythagorean theorem

c = √a² + b²

Then calculate using that equation

c = √7² + 7²

c = 9.9

In this case "c" is for the length of hypotenus but the image asks for x so

x = c

and

c = 9.9

so

x = 9.9

Hope this helps!

Have a nice evening!

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Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

it x = 9.9

Step-by-step explanation:

Answer:

a)S(6)+2300

b)S(n+3)

c)2(S(5))

d)S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

Step-by-step explanation:

Let S(x) represents a faculty member's yearly salary x years after beginning a position at a university.

a)Use function notation to represent $2300 more than a faculty member's salary after 6 years on the job

$2300 more than a faculty member's salary after 6 years on the job : S(6)+2300

b)Use function notation to represent the salary of a faculty member after 3 years more than n years on the job.

The salary of a faculty member after 3 years more than n years on the job : S(n+3)

c)Use function notation to represent a salary that is 2 times as large as the salary of a faculty member after 5 years on the job.

A salary that is 2 times as large as the salary of a faculty member after 5 years on the job :

2(S(5))

d)How many times as large is the salary of a faculty member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years?

S(14)=S(3.1)

S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

The function notations for the given question are:

a. [tex]\rm S(x)=S(6)[/tex]

b. [tex]\rm S(x) = S(n+3)[/tex]

c. [tex]\rm S(x) = 2[S(5)][/tex]

d. [tex]\rm S(x) = S(14) - S(3.1)[/tex]

Function notations can be defined as a method of writing functions that are precise and easy to understand. Function notations is a way to convert lengthy texts into functions. The most commonly used functional notation is f(x).

For the given question, let S(x) be the salary of a faculty member after x years.

a.The functional notation to represent a faculty member's salary after 6 years is:

[tex]\rm S(x)=S(6)[/tex] , where 6 is the number of years and S is the salary per year.

b. The functional notation to represent salary of a faculty member after 3 years more than n years on the job is:

[tex]\rm S(x) = S(n+3)[/tex] , where n+3 represents number of years into the job.

c. The functional notation to represent  a salary that is 2 times as large as the salary of a faculty member after 5 years on the job is:

[tex]\rm S(x) = 2[S(5)][/tex] , where S(5) is the salary after 5 years into the job.

d. The difference between salary of a faculty member after 14 years and salary of another faculty member after 3.1 years can be represented as:

[tex]\rm S(x) = S(14) - S(3.1)[/tex], where S(14) is the salary after 14 years and S(3.1) is the salary after 3.1 years into the job.

Therefore the functional notations for the given question are:

a. [tex]\rm S(x)=S(6)[/tex]

b. [tex]\rm S(x) = S(n+3)[/tex]

c. [tex]\rm S(x) = 2[S(5)][/tex]

d. [tex]\rm S(x) = S(14) - S(3.1)[/tex]

Learn more about function notations here:

https://brainly.com/question/5025688

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Let the box length l and the square base side be x, then

[tex]\to l+4x= 96 \\\\\to l=96-4x[/tex]

Calculating the volume of the box is:

[tex]\to V (x) = x^2 \\\\ \to l = x^2(96-4x)[/tex]

To find the critical value in this way, distinguish V with x and equal to zero

[tex]\to V'(x)=0 \\\\\to 4 \frac{d}{dx}(24x^2 - x^3)=0\\\\\to 4 (48x- 3x^2)=0\\\\\to 12x(16-x) = 0\\\\\to x= 12... [x \neq 0][/tex] (because the box will not exists)

Find the second derivative for maximum / minimum control as:

[tex]\to V''(x)= 12 \frac{d}{dx} (16x-x^2) \\\\\to 12 (16 -2x) < 0 \ for \ x = 16 \to \ Maxima \\\\\therefore[/tex]

[tex]Length = 32 \\\\Base = 16 in \times 16 in \\\\Volume= 8,192 \ in^3[/tex]

Answer:

ok give me brainliest and i'll help

Step-by-step explanation:

Answer:

what is it that u need help with?

Answer:

80 ft/min

Step-by-step explanation:

Let h represent the height of the person shadow, x represent the distance between the person and the lamppost, y represent the length of the man shadow.

Therefore:

[tex]\frac{h}{x+y} =\frac{6}{y} \\\\substituting\ x=10,y=20:\\\\\frac{h}{10+20} =\frac{6}{20}\\\\\frac{h}{30} =\frac{6}{20}\\\\h=30*6/20\\\\h=9\ feet\\\\Therefore:\\\frac{h}{x+y} =\frac{6}{y}\\\\\frac{9}{x+y} =\frac{6}{y}\\\\9y=6x+6y\\\\9y-6y=6x\\\\3y=6x\\\\y=2x\\\\The\ person\ is\ walking\ from\ the\ lamppost\ at\ 40ft/min(\frac{dx}{dt}=40\ ft/min) \\\\y=2x\\\\Differentiating\ with\ respect\ to\ t:\\\\\frac{dy}{dt} =\frac{d}{dt}(2x)\\\\\frac{dy}{dt} =2\frac{dx}{dt}\\\\[/tex]

[tex]\frac{dy}{dt} =2(40\ ft/min)\\\\\frac{dy}{dt}=80\ ft/min[/tex]

The rate at which the length of the shadow is increasing when he is 30 feet away from the lamp post is  80 [tex]\frac{ft}{min}[/tex].

The height of the person shadow is to be = h

Given ,

The distance between the person and the man = x = 10

The length of the man shadow is = y = 20

By the similar triangle property corresponding sides of similar triangles are in the same ratio.

[tex]\frac{h}{x+y} = \frac{6}{y}[/tex]

[tex]\frac{h}{10+20} = \frac{6}{20}[/tex]

20h = 60 + 120

20h = 180

h = [tex]\frac{180}{20}[/tex]

h = 9feet

Therefore,

[tex]\frac{h}{x+y} = \frac{6}{y} \\\frac{9}{x+y} = \frac{6}{y} \\[/tex]

9y= 6x + 6y

9y-6y = 6x

6x = 3y

y = [tex]\frac{6}{3}x[/tex]

y = 2x

Differentiating both the sides with respect t,

[tex]\frac{dy}{dt} = 2\frac{dx}{dt}[/tex]

we know that ;

[tex]\frac{dx}{dt} = 40 \frac{ft}{sec}[/tex]

Therefore, by substitute the value

[tex]\frac{dy}{dt} = 2 . 40\frac{ft}{min}[/tex]

[tex]\frac{dy}{dt}[/tex] = 80[tex]\frac{ft}{min}[/tex].

The rate at which the length of the shadow is increasing is 80[tex]\frac{ft}{min}[/tex]  .

For more details about the Rate change problem click the link given below.

https://brainly.com/question/20414862

Answer: 1.25

Find my question since I had this question and look at the answer ok

Step-by-step explanation:

I hope my answer helps you out have a great day

Answer:9 cents per ounce (0.0895)

Step-by-step explanation: I UNDERSTAND HOW FRUSTRATING IT IS TO PUT AN ANSWER AND NO ONE ANSWERS IT, I DO, SO ALL I ASK IS FOR YOU TO GIVE ME BRAINLIEST. THANK YOU.

Answer:

x is equal to 6

Step-by-step explanation:

Hey there!

3(-x-3) + x-3= -24

Multiply"3" and (-x-3).

-3x - 9 + x - 3 = -24

Add or subtract like terms.

-2x - 12 = -24

Shift "-12" in right side.

-2x = -24+12

-2x = -12

Divide "-12" by "-2".

X = -12/-2

Therefore, x= 6.

Hope it helps...

Answer:

t = 0.6435 in radians or 36.8699 in degrees

Step-by-step explanation:

Since cos(t) = 4/5, t = inverse cos(4/5) = 0.6435

========================================================

Explanation:

Highlight XY in the sequence XYZ. We've highlighted the first two letters.

This means that we'll need to highlight the first two letters of MNL to get MN.

XY pairs with its corresponding part MN.

Due to the congruent triangles, we know that XY = MN.

The diagram shows MN = 8. Due to substitution or the transitive property (they're similar ideas) we know that XY = 8 as well.

As you can see, the order of the letters is important so we can properly align the letters.

Answer: sorry read it wrong

Answer:

68 inches

Step-by-step explanation:

We know that a foot is 12 inches, so multiply 12 and 5 to get 60, and then add the 8 other inches.

I hope this helps, and if it does, may I have brainliest?

Answer:

3 feet long about 1 1\2 inch wide though

Step-by-step explanation:

.

3 feet

36 inches

0.000568182 of a mile

Long

Answer:

c

Step-by-step explanation:

It’s the same thing even if you put ()

Answer:

125

Step-by-step explanation:

Answer:

h= 50 - th(35)/5

Step-by-step explanation:

Answer:

tan b

Step-by-step explanation:

Answer:

Your answer is A

Step-by-step explanation:

Answer:

r=11, Hope I helped!

Step-by-step explanation:

I'm to lazy :P

Answer:

r=11

Step-by-step explanation:

Notice on the table how whatever the x value you is it is multiplied by 11, thus giving us our answer to r and answer to the equation y = rx.

Answer:

Divide by -5.

Answer:

=

1

3

3

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation:

38,956 rounded to the nearest 10,000 is 40,000

Answer: 39,000

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

19 - 6x = -11

-6x= -11 -19

-6x = -30

x= 5

Answer:

x = 5

Step-by-step explanation:

19 - 6x = -11

-6x = -11 - 19

-6x = -30

-6x/-6 = -30/-6

x = 5

19 - 6*5 = -11

19 - 30 = -11

-11 = -11

Answer:

3x - 5 + 2x² + 9x = 3x + 2x² + 9x - 5​ = TRUE = 2 x^2 + 12 x - 5

Step-by-step explanation:

left: Simplify the following:

2 x^2 + 9 x + 3 x - 5

Grouping like terms, 2 x^2 + 9 x + 3 x - 5 = 2 x^2 + (3 x + 9 x) - 5:

2 x^2 + (3 x + 9 x) - 5

3 x + 9 x = 12 x:

Answer: 2 x^2 + 12 x - 5

_______________________

Simplify the following:

2 x^2 + 9 x + 3 x - 5

Grouping like terms, 2 x^2 + 9 x + 3 x - 5 = 2 x^2 + (3 x + 9 x) - 5:

2 x^2 + (3 x + 9 x) - 5

3 x + 9 x = 12 x:

Answer: 2 x^2 + 12 x - 5