Mathematics High School

If (1 + 2x)^5+ (1 - 2x)^5 = a + bx + cx?
find the values of the constants a, b and c.

Answers

Answer 1

Answer:

steps below

Step-by-step explanation:

5th level of Pascal triangle: 1,5,10,10,5,1

(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵

           = 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵   .. (1)

(1-2x)⁵ =  1  - 10x + 40x² - 80x³  + 80x⁴ - 32x⁵  .. (2)

(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2

a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself

a = 160,    b = 80,    c = 2

Related Questions

SOMEONE PLEASE HELP!!
I need someone to explain how to simplify radicals.
The picture is attached

Answers

Answer:

35√2

Step-by-step explanation:

[tex]5\sqrt{98}[/tex] = [tex]5\sqrt{2*49}[/tex] = 5 × √2 × √49 = 5 × 7 × √2 = 35√2

hello can anyone help with this?

The distance between Heysham and the Isle of Man is 80 km.
A hovercraft travels at 50 km per hour.
How long does the journey take?

Answers

50/1 =80/x
50x=80
Divide both sides of the equal sign by 50 to get variable by itself
x= 1.6
Your answer is 1.6 of an hour for the journey

Answer:

1 hour 36 minutes

Step-by-step explanation:

Amount of time the journey takes = 80km ÷ 50km/h

                                                        = 1.6h

                                                        = 1h 36mins

Someone help me and answer these ASAP PLS

1. What are the three major responsibilities of the county commissioners?

2. What are the three major responsibilities of the county sheriff?

3. What is the fundamental purpose for county government?

Answers

Answer:

1. The powers include: budgeting and appropriation of funds for all county activities; building and maintaining county roads; making and enforcing civil and criminal resolutions and ordinances not in conflict with state law, including those for land use and building construction; supporting and implementing.

2. Serves as a licensed peace officer and is responsible for enforcing the criminal laws of the state. Manages and operates the county jail. Provides security for the courts.

3. County governments perform essential administrative functions such as registering voters, supervising elections, keeping records, providing police protection, and administrating health and welfare services.

Step-by-step explanation:

i need help with this fast

Answers

Answer:

68

Step-by-step explanation:

the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.

Find the slope of the line through each pair of points.
(−13, −19), (13, 3)
Find the slope of each line.
y = 2x − 1

Answers

Answer:    slope = ¹¹/₁₃ Step-by-step explanation:    

      The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  ((3 - (-19)) ÷ (13 - (-13))      

                                          =   22 ÷ 26

                                          =  ¹¹/₁₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                                ⇒  y + 19 =  ¹¹/₁₃ (x + 13)

I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

On a certain hot​ summer's day, 557 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totalled $1146.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Adults:193

children:295

WILL GIVE BRAINLIEST. determine the rule for the table and complete it.

Answers

Answer:

see explanation

Step-by-step explanation:

From the table

1 → - 2 ⇒ 1 - 3

2 → - 1 ⇒ 2 - 3

3 → 0 ⇒ 3 - 3

The rule is subtract 3 from the input to obtain output , then

4 → 4 - 3 = 1

n → n - 3 ← is the general rule for the table

A sunflower is 15 inches tall and grows 2 inches a week. How many weeks will it take for the
Sunflower to be 23 inches tall?
Need help making an equation!!

Answers

Answer:

4 weeks

Step-by-step explanation:

15 + 2x = 23

2x = 8

x = 4

Determine the effective annual yield for $1 invested for 1 year at 3.7% compounded semiannually.
10%

Answers

Answer:

$0.035

Step-by-step explanation:

Help me!
A 180
B 115
C 65

Answers

Answer:

ik this

Step-by-step explanation:

i believe its 180

Answer: B) 115

Step-by-step explanation: i hop this help if not sorry :(

Kent has already saved $150 and he plans to save $20 every week. Proportional or Non-proportional

Answers

Answer:

this problem is  Non-proportional

Step-by-step explanation:

hope this helps

The perimeter of the rectangle below is 104 units. Find the length of side RS.

Write your answer without variables.

S

3z

R

4z + 3

RS = ]

х

P

Q

Answers

Hhhhh hhhhhh hhhfddh yuh

Perform the operation. Enter your answer in scientific notation.
(7 x 10^*9)(5.6 x 10^*8)

Answers

Answer:

3.92 × 10 ^18

Step-by-step explanation:

(7 x 10^*9)(5.6 x 10^*8)

(7000000000)(560000000)

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

how do I solve 8 - 4x + 5y when x = -2 and y = 6

Answers

8 - 4(-2) + 5(6)
8 + 8 + 30
=46

3 pls pls pls help me

Answers

Answer:

I think the answer is c

Step-by-step explanation:

Solve for the value of x that makes likes r and s parallel.

Answers

x=r*s in order to make it parallel u must add r and s

I forgot how to do this. Please help!

Answers

Answer:

It's just a line with a slope of 0 at y= -5



You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you

want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents

the pre-tax price of a pair of pants that you can afford if you buy the drink? *


X + 0.04x + 1.50 > 60

X + 0.04x + 1.50 2 60

X + 0.04x + 1.50 60

X + 0.04x + 1.50 60

Answers

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

How to write sin and cos and all?

Like should they be in first letter uppercase, or whole lowercase?

My maths teacher is writing with first letter uppercase, but I see many YouT.ubers and all writing it in fully lowercase! so someone clear it up and pick me out of this puzzled condition....

Answers

Any cosine function can be written as a sine function. y = A sin(Bx) and y = A cos(Bx). The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height).

4-1/4 with no decimal point​

Answers

Answer:

4-25

Step-by-step explanation:

A contractor bought 12.6 ft? of sheet metal. He has used 2.1 ft? so far and has $210 worth of sheet metal remaining. The equation 12.6x-2.1x = 210 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?​

Answers

Answer:

$20

Step-by-step explanation:

12.6x-2.1x=210

10.5x=210

x=210/10.5

x=20

After a 25% discount the price of a T shirt was $12 what was the price before the discount?

Answers

Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.

Step-by-step explanation:G

Answer:

$16

Step-by-step explanation:

25% is equal to 1/4.

1/4 of 16 is 4.

so if you subtract 4 from 16, it equals 12.

have a lovely day <3

can someone help please? u dont have to show work so dont mind that

Answers

Answer:

Factor the numerator and denominator and cancel the common factors.

x/4+3/2 or 32/4  or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First, you substitute.

x + 6 / 4

26 + 6 / 4

Then, you add.

26 + 6 = 32

Finally, you divide.

32 / 4 = 8

Answer: 8

what is the answer to 7 1/3 + 5 4/5

Answers

Answer:

13 2/15

Step-by-step explanation:

Simplify
[tex] \frac{ {x}^{2} - 9 }{ {x}^{2} - 3x} [/tex]
CORRCET ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+RECEIVE 34 POINTS

Thanks xx​

Answers

Here you go, if you have any questions please ask

Rick bought 3 apples and 2 oranges for a cost of $1.55. Kim bought 4 apples and 3
3
oranges for a cost of $2.15. Find the cost of one apple.

Answers

Apples cost $0.35 each

Apples = x
Oranges = y

3x + 2y = 1.55
4x + 3y = 2.15

I like the substitution method
2y = -3x + 1.55
y = -1.5x + 0.775

4x + 3(-1.5x + 0.775) = 2.15
4x - 4.5x + 2.325 = 2.15
-0.5x + 2.325 = 2.15
-0.5x = -0.175
x = 0.35

Complete the explanation of whether the graph represents a proportional or a nonproportional
relationship
5
Х
XA
O
5
이
5
The graph represents a (select)
relationship

Answers

Answer:

Non Proportional

Step-by-step explanation:

As it does not pass through the origin.

NEED help asap please find the percentage

Answers

Hope this helps, have a nice day!!

pls help!!! i will give brainliest!!!!! :D

Answers

the answer equals 29.

Answer:

31 cm

Step-by-step explanation:

the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41

5(+25)=875

lets see who will get it right​

Answers

Answer:

X = 150

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

X=150

Step-by-step explanation:

Other Questions
it takes 2/3 of an hour to paint 2/5 of a room Romn pregunt en servicio al cliente si le podan fabricar los Zetas con medidas especiales al cual respondieron que si l requiere una loseta cuadrada con un aria de 225 m cuanto miden los lados de la loseta que le fabricaron Which grievance would address why the colonists were unhappy about their lack of representation in British government?A. "For imposing taxes without our consent"B. "For Quartering large bodies of troops among us"C. "For depriving us in many cases of the benefits of Trial by Jury"D. "For cutting off our Trade with parts of the world" 5. Officer Williams patrols in a mostly Hispanic neighborhood. Although he has worked in the community for several years, he does not speak Spanish andknows very little about the culture of the citizens he is supposed to serve and protect. After a few complaints, Officer Williams's supervisor has asked that hetake a professional development training course. Which one might he best benefit from?a course on how to communicate assertivelya course on how to keep your composurea course about cultural awarenessOa course on decision-making Estimate and then solve 339759 What was Thomas Jeffersons view on earmarks? DWhich of the following number Satisoythe equation - 6+2=-12?a) 2b) 6C) -6. D) -2 can someone help me? why is there so much stuff popping up on my computer task manager Please help math problem aaaaaaaa PLEASE HELP ME I NEED THIS RN, PLS ANSWER THIS. (Ill make you brainliest)link : https://youtu.be/q8NW9TiRfGA The graph shows the cost of buying tickets to a concert. PLEASE DO STEP 3: c. What is the cost of buying 10 tickets?The cost of buying 10 tickets is_$ What can you anticipate having to "give up or do" in order to attain the "things" you want? help i kinda get the idea but every-time i solve it i get wrong A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)(a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125) Please help me to solve this question . 012.381-6-13What is an equation that describes the relationship? Select the correct answer.What is the author's purpose for writing this text?O A.to illustrate both sides of ongoing arguments about water usage in major citiesB.to describe the long-term impact of the 1906 earthquake in San FranciscoOC.to explain how John Muir was opposed to developing the land on a national parkODto shed light on an important environmental moment in America's historyResetNext HELL ILL DO ANYTHING What happens to book owners when the firemen come to burn their books? In Fahrenheit 451 Write a letter to a famous Patriot of your choice who helped the United States win the Revolution. Thank the Patriot for his or her service, and ask questions about the war effort. Finally, tell the Patriot about the United States in the modern era. State your view about whether the United States has lived up to the ideals upon which it was founded.