How to factor a polynomial with a degree of 4.

Answers

Answer 1

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).


Related Questions

hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D​

Answers

Step-by-step explanation:

When you get negative it is ok.

It means you have a discount here, not really increase but decrease in price.

Here you have:

(1680 - 4200)/4200*100% = - 60%

It is called 60% mark down or 60% discount

expand and simplify
(x +3)(x+5)

Answers

x • x + x • 5 + 3 • x + 3 • 5
2x + 5x + 3x + 15
10x + 15

Answer:

x² + 8x + 15

Step-by-step explanation:

(x +3)(x+5)

=> x² + 5x + 3x + 15

=> x² + 8x + 15

So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.

3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.

Answers

Answer:

-3 1/20

Step-by-step explanation:

-3 1/20 is the first answer

m-2/3<-4 OR 3m -8>4

Pls help ⚠️

Answers

Answer:

-10 OR 4

Step-by-step explanation:

Below are two parallel lines with a third line intersecting them.

Answers

The answer is 105 degrees! They are alternate exterior which means they are congruent! Also, they form vertical angles when you set them next to each other :)

Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.
How much more did it snow last week than this week?
01.03 inches
O 2.54 inches
0 3.29 inches
O 3.57 inches

Answers

Answer:

3.29

Step-by-step explanation:

4.32+6.86=11.18

11.18-7.89=3.29

Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class

Answers

Answer: C

Step-by-step explanation:

i took the test

A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?

Answers

It’s all too big and I love the kids and the gator is the

I’ve posted this so many times someone finish this so I can sleep and not wake up to another assignment

Answers

Hi! I’m not done with it yet, but I just wanted to let you know that I’m working on this for you! Please try not to stress!

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.

Draw the normal curve

What range of hours constitutes 96% of light bulb hours of life?

Between 300 and 700 hours

Less than 600 hours

Answers

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

PLS HELP ASAP ITS FOR MY ASSIGNMENT DUE RN!!! WHOEVER ANSWERS FIRST GETS BRAINLIEST, 5 STARS, AND A THANKS!!!!

Answers

Nico added 1 1/2 instead of subtracting1 1/2 should be subtracted from 9 7/11.

[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]

[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]

[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]

Can somebody solve this question?

Answers

Answer:

3 is the answer because it's value only add by the 3

100 points yes i said 100 no links

Answers

Answer:

None

Step-by-step explanation:

A rational number can never be changed into irrational

Answer:

The answer to your question is None

Step-by-step explanation:

A rational number can never be changed into irrational.

In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

I hope this helps and have a wonderful day!

the reciprocal of 5 and 4/9

Answers

Answer:

1/5 and 9/4

Step-by-step explanation:

Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.

the reciprocal of 5 will be 1/5. the reciprocal of 4/9 will be 9/4.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is the reciprocal of a number?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].

We have the following numbers -

5 and 4/9

We can write -

x = 5

y = 4/9

So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.

The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.

Therefore -

the reciprocal of 5 will be 1/5. the reciprocal of 4/9 will be 9/4.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

A small business has 50 total employees, 15 of which are full-time. What percent of the employees are part-time?

Answers

Answer:

70%

Step-by-step explanation:

50-15 =35

35/50 = 70/100

|2x + 6| = 16
plsss helppp

Answers

Answer:

x = 5

Step-by-step explanation:

|2x + 6| = 16

=> 2x + 6 = 16

=> 2x = 16 - 6

=> 2x = 10

=> x = 5

Hoped this helped.

X=5
2x +6 = 16
-6 -6
2x = 10
/2 /2
X=5

In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?

Answers

Answer:

2.42

Step-by-step explanation:

I AM VERY SORRY IF ITS WRONG

How to do multiplication with decimals.

Answers

Answer: just line up the decimals.

Step-by-step explanation:

is there a specific question I can help you with?

Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate

Pick 1 for each blank PLS HURRY!!!!

Answers

The first to are addition property of equality the third one is division property of equality

The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
Enter your answer by filling in the boxes.

Answers

The equation of the parabola is:

(y - 6)² = -12(x +2)

Parabola is the locus of a point such that its distance from a fixed point (called the focus) and a given line (called the directrix) is always the same.

The equation of a parabola is given by:

(y - k)² = 4p(x - h)

Where (h, k) is the vertex, (h + p, k) is the focus

Given the vertex of a parabola is (-2,6), and its focus is (-5,6).

Hence, k = 6, h = -2;

h + p = -5

-2 + p = -5

p = -3

Hence the equation of the parabola is:

(y - 6)² = -12(x +2)

Find out more at: https://brainly.com/question/21685473

Determine the domain of each graph:

Answers

Answer:

The 1st

Domain is (1,-3)

The second

Domain is (R)

The 3rd

Domain = (R)

The 4th

Domain =(-1,+infinity )

Respectively

A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?

Answers

Answer:V≈3820.18m3 the best i got

Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps

What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18

A. x = 1, y = -6
B. x = 1, y = -7
C. x = 3, y = -6
D. x = 3, y = -7

Answers

Answer:

  C.  x = 3, y = -6

Step-by-step explanation:

You can divide the second equation by 2. Then you have ...

  x +2y = -9

This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:

  (x +2y) -(x -2y) = (-9) -(15)

 4y = -24   ⇒   y = -6

Adding the two equations eliminates y:

  (x -2y) +(x +2y) = (15) +(-9)

  2x = 6   ⇒   x = 3

The solution is (x, y) = (3, -6).

_____

Additional comment

I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).

Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6

Answers

Answer:

Ernest is six (B)

Step-by-step explanation:

e + 3e = 24

4e=24

[tex]\frac{4e}{4} =\frac{24}{4}[/tex]

e= 6

PLS HELP!!! I WILL GIVE BRAINLIEST!!!!!!!!!!!

Which transformation of f(x) will produce the same graph as g(x)?

Answers

Answer:

A. [tex]h(x)=f(x+1)[/tex]

Step-by-step explanation:

Let's start doing exactly what each function says.

[tex]g(x) = 3x+3[/tex]

At this point, let's see what the various h-s do. Let's call each [tex]h_A... h_D[/tex] to understand which flavor of it we're talking about.

[tex]h_A(x)=f(x+1) = 3(x+1)=3x+3 = g(x)\\h_B(x)=2f(x)=2\cdot3x= 6x \ne g(x)\\h_C(x)=f(x-1)=3(x-1)=3x-3\ne g(x)\\h_D(x)= f(x)+1= 3x+1\ne g(x)[/tex]

5x=4y make x the subject

Answers

Answer:

[tex]x = \frac{4y}{5}[/tex]

Step-by-step explanation:

[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]

Hope this helps.

I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!

Answers

Answer:

21.8

Step-by-step explanation:

1.9 + 9 = 10.9

10.9 x 2 = 21.8

Answer:

21.8

Step-by-step explanation:

2×1.9=3.8

2×9=18

total=21.8

ANSWER PART B


Sia designs a board game in which a card is drawn on each turn.

• A blue card means move forward 4 squares.
• A red card means move back 6 squares.

Liam suggests adding some other cards to Sia's game

Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

ANSWER PART B


How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.

Answers

Answer:

Answer:Back 2

Step-by-step explanation:Blue + Red=-2

Step-by-step explanation:

Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
Reset
Next

Answers

Answer:

  D. (-3, 26)

Step-by-step explanation:

The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)

We can rearrange the first equation to give an expression for y:

  y = 17 -3x

This can be substituted into the second equation to give ...

  x +2(17 -3x) = 49

  -5x +34 = 49 . . . . . . simplify

  -5x = 15 . . . . . . . subtract 34

  x = -3 . . . . . . divide by -5

Then the value of y is ...

  y = 17 -3(-3) = 26

The single solution is (x, y) = (-3, 26).

A class has 30 students. 10 students take the bus. What percentage of students take the bus?

Answers

Answer:

33.3%

Step-by-step explanation:

10/ 30= 0.3(3 would be a reoccurring decimal)

0.3*100=33.3

10% of students take the bus

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