when (x+2)^6 is written as a polynomial, what is the coefficient of the term containing x^4

a-15
b-60
c-120
d-6

Answers

Answer 1

Answer:

c-120

Step-by-step explanation:

Answer 2

When (x+2)⁶  is written as a polynomial, the coefficient of the term x⁴ is 60.

How to expand an expression to form a polynomial?

We have to expand (x+2)⁶ to form a polynomial.

A polynomial can have constants, variables and exponents, but never division by a variable.

Therefore, using pascal triangle, the appropriate row is 1 6 15 20 15 6 1.

Hence,

Substituting the appropriate powers of x and 2 gives 1x⁶2⁰ + 6x⁵2¹ + 15x⁴2² + 20x³2³ + 15x²2⁴ + 6x¹2⁵ + 1x⁰2⁶.

Finally,

x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64

Therefore, the coefficient of x⁴ is 60.

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Related Questions

What are the solution(s) to the absolute value equation below?

Answers

Answer:

C

Step-by-step explanation:

Given

5| x - 7 | + 4 = 4 ( subtract 4 from both sides )

5 | x - 7 | = 0 ( divide both sides by 5 )

| x - 7 | = 0, thus

x - 7 = 0 ( add 7 to both sides )

x = 7 ← is the only solution → C

What’s the perimeter

Answers

10+10+10+10= 40
40+38+40+35+35= 188 total perimeter

Please help me out!​

Answers

Answer:

5[tex]\sqrt{8}[/tex], 40/3, [tex]\sqrt{170}[/tex]

Step-by-step explanation:

[tex]\sqrt{170}[/tex]= 13.03840481

5[tex]\sqrt{8}[/tex] = 14.14213562

40/3 = 13.33...

he side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube

Answers

Answer:

V=(3x+2y)^3

Step-by-step explanation:

V=s^3

s=3x+2y

Substitute

V=(3x+2y)^3

simplify (4/5-2). ignore this it has to be 20 characters to work

Answers

Answer:

-1.2

Step-by-step explanation:

write this number in scientific notation 56,700,000

Answers

Answer:5.67* 10^7

Step-by-step explanation:

I was constructing towers as you see below. I noticed that each
time I made the tower higher, I had to add more blocks on the
sides to stabilize the structure. I would like to know how many
cubes I will need to build a 5-block high tower and a 10-block
high tower. Generalize, if you can, on how many blocks I will
need for any size tower?

Answers

Answer:

is there an equation for this or simple math?

Answer:

5 Blocks=4 blocks (on sides) 10 Blocks=9 blocks (on sides)

Step-by-step explanation:

You subtract one set of blocks (on sides) each time. That's it! Hope this helps!

a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain

Answers

it’s a type of range

Answer:

relation

Step-by-step explanation:

i just took the test and got it wrong because of the other answer

A biology class examined some flowers in a local meadow. They saw 60 flowers, of which 25% were perennials. How many perennial flowers did the students see?

Answers

Answer:

Step-by-step explanation:

first do 60 divided by 4 because we know 25 percent is equal to 1/4

so the answer would be 15

Given (x – 7)2 = 36, select the values of x.

Answers

Answer:

x=1

Step-by-step explanation:

(x-7)²=36

x-7=±6

either x-7=6,x=6+7=13

or x-7=-6,x=-6+7=1

Answer: x = 1 and x = 13. It's both.

Step-by-step explanation:

50°
850
53 + x

I need to find the value of x and without saying x =

Answers

Well 50+ 85+ 53 = 188 which is larger than the 180° it is suppose to equal. Sooo I think x would be -8 because 53 - 8 = 45 which would make 50 + 85 + 45 = 180 I hope this helps!

help with these please im sorry I wanna save points ​

Answers

number 5 is 70 hm in an hour and number six is $5 for one ticket :)

Ok i figured out the other question with some help but this one is actually confusing to me

Answers

I believe either B or C
Answer:

I ran it through an interest calculator for both.

The compound interest accumulates to about 2,812.16$.

The simple interest accumulated to 2,800$.

Adding them both together you get a total of 5,612.16$.

Your answer is B.

The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4​

Answers

Answer:

x=19/4

Step-by-step explanation:

The product of 5 and a number x is 1/4

x + 9 = -2
Could someone please help me with this problem?

Answers

Answer:

x = -11

Step-by-step explanation:

First, you have to isolate x to one side. To do this, you have to subtract 9 on both sides like this

x + 9 - 9 = -2 - 9

So this will now be

x = -11

There you go!

Answer:

x=-11

Step-by-step explanation:

x+9=-2

-9 -9

---------------

x=-11

Write the equation of a line parallel to y=2x+7 that passes through the point (-4, 5)

Answers

answer : y = 2x - 3

what does d/dx (-8x - 643)=

Answers

See the attachment.....

What lever has resistance between the axis (fulcrum) and the force (effort)? A. first B. second C. third D. fourth Please select the best answer from the choices provided. A B C D

Answers

Answer:

B. Second

Step-by-step explanation:

Levers are defined as the simple machine, which consists of a rod fixed at a pivot, load, and fulcrum. The levers are classified into first class, second, and third class.

What is lever?

A lever is a simple machine made of a rigid beam and a fulcrum. The effort (input force) and load (output force) are applied to either end of the beam. The fulcrum is the point on which the beam pivots. When an effort is applied to one end of the lever, a load is applied at the other end of the lever.

here, we have,

The difference between different types of levers are:

1. In the first-class levers, the fulcrum is present between the load and effort. The mechanical advantage can be greater, less, or equal to 1.

2. The second class levers, the load is present between the fulcrum and effort. The mechanical advantage is always greater than the 1.  

3. The third class levers, the effort is present between the fulcrum and load. The mechanical advantage is always less than 1.  

Thus, the correct answer is Option 1.  

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complete question:

What distinguishes first class levers from both second and third class levers? A. The fulcrum is between the load and effort. B. There is a fulcrum on both sides of the load. C. Greater effort is required to move the load. D. The first class lever is not found in the human body. Please select the best answer from the choices provided. A B C D.

Which is greater, 4 4/10 or 32/10? Explain how u know.

Answers

Answer:

4 4/10

Step-by-step explanation:

Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.

Fractions may be equal or unequal.

[tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]

The fractions are given as:

[tex]\mathbf{F_1 = 4\frac{4}{10}}[/tex]

[tex]\mathbf{F_2 = \frac{32}{10}}[/tex]

Express the fractions as improper fractions

[tex]\mathbf{F_1 = \frac{44}{10}}[/tex]

Both fractions have the same denominator.

So, the fraction with a greater numerator is greater.

By comparison: 44 is greater than 32

i.e. 44 > 32

Hence, [tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]

Read more about fractions at:

https://brainly.com/question/20335146

Which of the following is a second degree trinomial? 3x + 8 -4x2 - 6x + 7 6x4 + 4x2 - 7 5x2 + 10

Answers

Answer:

the first one

Step-by-step explanation:

because it is

if (81)^p = 43,046,721, what is the value of p?​

Answers

Answer:

P = 4

Step-by-step explanation:

81 x 81 x 81 x 81 = 43,046,721

Justine lives in an apartment while attending college. Her monthly rent last year was $680, but this year she has to pay $800 per month. By what percent did her monthly rent increase from last year to this year?

Answers

Answer:

6,528,000

Step-by-step explanation:

Multiply 800 by 12. Then multiply the number by 680. And there u go.

6,528,000

The percent did monthly rent increase from last year to this year is 17.6%

Last year Justine paid $680 in rent while this year she paid $800 in rent

The increase in rent = $800 - $680 = $120

The percentage increase in rent = ($120/$680) * 100% = 17.6%

The percent did monthly rent increase from last year to this year is 17.6%

Find out more at: https://brainly.com/question/20818421

Whats 5000+35548-455x4534+38534x233=?

Answers

Answer:

6,956,000

Do all the operations in order by following the PEMDAS method.

There are 40 teachers that work in a school. On
Friday, 26 teachers were present. What percent
of the teachers showed up for work?

Answers

Answer:

65% sorry if it isn't right

Keith decided to do pushups everyday as part of his exercise routine. He started to do 10 pushups today and he will be adding 3 additional counts for each day that his exercise continues. How many pushups will Keith do if he is exactly on his 3rd week of his exercise routine?

Answers

Answer:

55 push ups

Step-by-step explanation:

Given that:

Starting count = 10

Additional count = 3

Starting count + (additional count * number of days)

Exactly on the 3rd week = on the 15th day

10 + (3 * 15)

10 + 45

= 55 push ups

Math often shows up in sports in ways that we don’t realize. Take for example the baseball diamond. It is actually a square with the bases set at a 90 degree angles. If the bases are 90 feet apart, how far is it from home plate to second base? Round to the nearest tenth.

Distance between home plate and second base: ____________________ feet

Group of answer choices

90

127.3

63.6

145

Answers

Answer:

Distance between home plate and second base = 127.3 ft (Approx)

Step-by-step explanation:

Given:

Base distance = 90 ft

Find:

Distance between home plate and second base

Computation:

Distance between home plate and second base = √90²+90²

Distance between home plate and second base = √8100 + 8100

Distance between home plate and second base = √16200

Distance between home plate and second base = 127.3 ft (Approx)

Plzz help e for brainliest if 2 people answer

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I need help writing the expressions

Answers

Answer:

Company a= 15x+10y+25z+75

Company b=20x+10y+30z+60

Step-by-step explanation:

Please Help Me Please Ill mark brainiest

Answers

Answer:

1. Similar by AAA (3 angles equal)

2. Similar by SSS (3 sides proportionate)

3. Similar by SAS ( 2 side proportionate and equal angle in between)

Evaluate the expression "12 - (-36) / -6"

Answers

Answer:

ah bbhgggvgujjbgg

hhhjj

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