What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.

Answers

Answer 1

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x


Related Questions

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

To be a triangle, the two smallest sides added together have to be greater than the largest side.
A wouldn’t work, because 11 + 21 = 32, which is smaller than 33.
B wouldn’t work either, because 14 + 27 = 41, which is smaller than 43
C would work, because 11 + 13 = 24, which is larger than 23
D wouldn’t work, because 5 + 8 = 13, which is smaller than 15.

C is the only one that works, so the answer is C.
I rlly have no idea

Can someone please help me, i've just been sitting here trying to figure this out. please help me

Answers

Answer:

A) y=0.45x + 2.9

B) the plant grows 0,45 inches per day

C) the height and the number of days are highly related

D) 5.55

Step-by-step explanation:

Am in a rush sorry lol don’t have time to explain

I’m doing a percent equation I need help please here’s the question. Blank percent of 20 = 14

Answers

Answer:

x = 70

Step-by-step explanation:

x% 20 = 14

x / 100 * 20 = 14

x / 5 = 14

x = 14 * 5

100/20=5
14*5=70
Answer: 70%

If
x
=
5
and
y
=
4
, evaluate the following expression:
3
x
²
+
3
x
y
+
y
²

Answers

Step-by-step explanation:

3x²+3xy+y²

3×5²+3×5×4+4²

3×25+60+16

75+60+16

151

hope it help u

can u show horozontally


Assume that it is equally likely for a child to be born a boy or a girl and that the Lin family is planning on having 2 children. How many elements are
there in the samples space for the genders of the two children?

Answers

It’s a boy and a girl those are only 2genders

Answer: It depends on if the girl genes are dominant or if the boy genes are recessive. If the girl genes are more dominant then Lin is probably going to have more girls than boys.

Step-by-step explanation: Listen I haven't gotten the question yet so I don't know the answer

50 points
Which statement best describes the reason the Hebrew people left Egypt?

The Hebrew people were fleeing Egyptian slavery.
The Hebrew people were forced to leave by the pharaoh.
The Hebrew people were seeking more land and resources.
The Hebrew people were invited back to Canaan to live freely.

Answers

Answer:

Step-by-step explanation: The Hebrew people were seeking more land and resources.

Answer:

The Hebrew people were seeking more land and recources

Step-by-step explanation:

Plzz help with this mayhs question ​

Answers

Answer:

1::5

Step-by-step explanation:

The perimeter of the picture is
36 inches. What is the height of
the picture?
Х
8 inches

Answers

Answer:

x = 10 inches

Step-by-step explanation:

P = 2 x (L + W)

36 inches = 2 x (8 + W)

36 = 16 + 2W

2W = 20

W = 10 inches

50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!

Answers

Answer:

8. 9.1

9. 12.2

Step-by-step explanation:

8. let x represent the missing side:

Using pythagoras theorem;

13.3² = x² + 9.7²

x² = 13.3² - 9.7²

x² = 82.8 taking the square root of both sides;

x = 9.1

9. let y represent the missing side:

Using pythagoras theorem;

y² = 10² + 7²

y² = 149 taking the square root of both sides;

y = 12.2

What is the slope of the linear function represented in
the table?

Answers

Answer: 1/7

Step-by-step explanation: The points create a posotive line so the answer has to be posotive. You then have to look at the rise over run. (0,1) is 1 unit higher than (-7,0) and the run is the ditance between the 2 x exvalues. 7. Rise/run = 1/7

What is 52 percent of 210?

Answers

Answer:

109.2

Step-by-step explanation:

Answer:

109.2

Step-by-step explanation:

(Weird name)

I need help as soon as possible thank you!

Answers

Answer:

15

Step-by-step explanation:

WILL GIVE BRAILLEST IF YOU HELP ME!

Answers

Answer:

3 centimeters per minute so solving the equation 15 divided by 4 for the y value equal to 30

Step-by-step explanation:

BRAINLIEST PLEASE

PLEASE HELP. SOON. I really need help i’m struggling a lot lol

Answers

Answer: A

Step-by-step explanation: trust me bro

Geometry...Please help as soon as possible please and Thank you!!!

Answers

Answer:

Step-by-step explanation:

Statment1. BD bisects ∠ABC

Reason1. Given

Statment 2. ∠ABD≅∠DBC (A)

Reason2. Definition of angle bisector

Statment 3. BD≅BD (S)

Reason3. Reflexive propriety

Statement 4. ∠BDA≅∠BDC (A)

Reason 4. Given

Statement 5 ΔABD≅ΔCDB

Reason 5. ASA theorem of congruency

What is the upper bound of the function f(x)=4x^4-25x^2-5x-13?

Answers

9514 1404 393

Answer:

  DNE

Step-by-step explanation:

An even-degree polynomial with a positive leading coefficient has no upper bound. The upper bound does not exist (DNE).

r = x^2/y work out the value of r

Answers

Answer:

r=244745.8 (approximately)

Step-by-step explanation:

r=x²/y

ry-x²=0

r(59000)-(380000)²=0

r=380000²/59000

r=144400000/59

r=244745.8 (approximately)

is the answer 117? or am i wrong

Answers

Answer:

Correct

Step-by-step explanation:

You do the equation the same as you would a rectangle.

9 * 13 = 117

Answer:

well you need to do this,(2 times 9)+(2 times 13) =44

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

42

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The answer is 9 I'm pretty sure

i need help with math rlly bad

Answers

Step-by-step explanation:

what's the question sweetie?

Which of the following best describes how the y values are changing over each interval? x y 1 20 2 40 3 80 4 160 5 320 They are increasing by 20 each time. They are increasing by 40 each time. They are being multiplied by 2 each time. They are being multiplied by 4 each time.

Answers

Answer:

They are being multiplied by 2 each time.

Step-by-step explanation:

The y values are increasing by the multiplication of 2.

What is an sequence ?

"Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.

In short, a sequence is a list of items/objects which have been arranged in a sequential way.

A series can be highly generalized as the sum of all the terms in a sequence. However, there has to be a definite relationship between all the terms of the sequence."

The given sequence is 20, 40, 80, 160, 320

So it is clear that the each term of the sequence is being multiplied by 2. Hence, C is the correct option.

To know more about sequence here

https://brainly.com/question/21961097

#SPJ3

! what is the domain of the function graphed?

Answers

Answer:

Domain: (-∞, ∞)

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, the line's x-values span from negative infinity to infinity:

(-∞, ∞)

What is the factored form of the expression 9x^2- 24x + 16?
O (3x – 4)^2
O (4x + 3)^2
O (3x + 4)^2
O (4x – 3)^2

Answers

Step-by-step explanation:

Rewrite 9x2 as (3x)2

.

(3x)2+24x+16

Rewrite 16

as 42

.

(3x)2+24x+42

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

24x=2⋅(3x)⋅4

Rewrite the polynomial.

(3x)2+2⋅(3x)⋅4+42

Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2

, where a=3x and b=4

.

(3x+4)2

Help me out guysss I’ll give u a starrrrr<3!!!

Answers

Answer:

1. 20

2. 16

3. 50

4. 0

5. 12

6. -12

7. 45

8. 99

9. 54

10. 49

You're suppose to do the opposite of each problem. So since it's division, you would multiple. (Example: x/4=2  (4 x 2=8) (x=8) (8/4=2<---- answer proven)

the answer for:
Consider the quadratic equation x^2 - 6x - 16 = 0.
A. Solve the equation, and discuss how the type of roots affects the appearance of the graph of the function y = x^2 - 6x - 16.
B. What is the vertex of the graph of x^2 - 6x - 16 = 0?
C. What is the equation of the axis of symmetry?
D. Use this information to draw a rough sketch of the graph of the function.

Answers

Answer:

A. Solution=(x-8)(x+2),Zeros are 8,-2

The integer coefficient of x² is >1 and so the graph which is a parabola,curves downward and opens upward

B. The vertex or turning point is the minimum point =-b/2a=-(-6)/2(1)=3

f(3)=(3)²-6(3)-16=-25

the vertex occurs at y=-25

C. Equation of the axis of symmetry =-b/2a

which is x=3

Help plzzzzzzzzzzzzzz ​

Answers

Answer:

side HA and side AT

Step-by-step explanation:

Which expression is equivalent to 5x2 – 8 ?
explain

Answers

Answer:

10x+−8

Step-by-step explanation:

multiply 5 x 2 = 10

turn 8 to -8

now your answer is 10x+-8

*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).

Answers

i think the answer is one solution

A package of golf balls costs $22 and a package of golf tees costs $4. The expression $22b + $4t represents the total cost for, b, packages of golf balls and, t, packages of golf tees. Find the total cost of 2 packages of golf balls and 3 packages of golf tees

Answers

Answer: $56

Step-by-step explanation: $22(2)+$4(3) = $56

Graph the equation 4x+8y=24

Answers

Answer:

The slope would be -1/2 with a y-intercept of (0, 3).

I hope this helped you find the answer to your problem.

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