Help please, I could not figure this problem because the answer was -108 but I only solved it to -244. The problem is “Find coefficient of x in expansion of (x-3)^4”

Answers

Answer 1

Answer:

You already know the answer is -108

Step-by-step explanation:

There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us

x^2 - 6x +9

Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So

-54x + -54x is the -108x term you are interested in.

Help Please, I Could Not Figure This Problem Because The Answer Was -108 But I Only Solved It To -244.

Related Questions

What us y+3=-2 (6x-1)

Answers

Answer:

y=-12x-1

Step-by-step explanation:

Y=-12x-1

(Simplify and make y the subject)

6x6x6x8x8x8
write the following using index form

ps. I wrote 6^3 X 8^3 and it wasn't right.....where did i go wrong??

Answers

Answer:

Step-by-step explanation:

Maybe without the x or use a * instead, like:

6^38^3

or 6^3*8^3

Or maybe read the question again because your answer should be right, if not contact the administrator of the website because sometimes bugs like that can happen.

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.​

Answers

The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]

Probabilities

The probability of an event is the chances of the said event

The given parameters are:

Total  = 10Red = xBlue = 10 - x

Calculating the required probability

The probability that one of each color is selected is calculated as follows:

[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]

So, we have:

[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]

This gives

[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]

Take LCM

[tex]P = \frac{2x(10 - x)}{90}[/tex]

Simplify the above expression

[tex]P = \frac{x(10 - x)}{45}[/tex]

Expand

[tex]P = \frac{10x - x^2}{45}[/tex]

Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]

Read more about probabilities at:

https://brainly.com/question/7965468

cos(x+2)=sin(3x). Need done for a test please help.

Answers

Can you specify the question please I can answer it but I need more specification 87

Auto replacement insurance covers the full cost of auto repairs or the cost of a new vehicle.

T or F

Answers

Answer: True

Step-by-step explanation:

A regular polygon has 15 sides find the size of each of its interior angles

Answers

Answer:

156°

Step-by-step explanation:

A regular polygon has 15 sides find the size of each of its interior angles

                                              Pentadecagon

The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.

find the sum of the interior angles

(15 - 2) × 180 =

13 × 180 =

2340

we divide by the number of sides

2340 : 15 =

156° is your answer

There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?

Answers

75/5 = 15

15= 1 counsellor for 15 students
so

15 x 12 = 180 students

Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)

Answers

Answer:

y=3x-19

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=3(x-6)

y+1=3(x-6)

y=3x-18-1

y=3x-19

Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)

Answers

Answer: 2.5

Step-by-step explanation:

What Is The exact volume of the cone with a height of 4 and a radius of 7

Answers

Answer:

196 / 3 [tex]\pi[/tex]

Step-by-step explanation:

pi x radius x radius x height / 3

= pi x 49 x 4 / 3

= pi x 196 / 3

(I need these answered asap and with work and explanation included)

Answers

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.

can you please help me find X in this problem it is so confusing

Answers

Answer:

  x = 25°

Step-by-step explanation:

There are different ways to get there.

1.

The unmarked angle at bottom left is an alternate interior angle with the one at the top marked 50°. So, it is congruent to 50°.

That makes the angles along the line at the bottom be ...

  50° +x° +105° = 180° . . . . . the measure of a linear angle

  x° = 180° -155° = 25°

__

2.

The unmarked angle at top right is a same-side interior angle relative to the one at bottom marked 105°. As such it is supplementary to 105°, and has measure ...

  180° -105° = 75°

This angle (upper right) is an exterior angle to the triangle. As such, it is equal to the sum of the two "remote" interior angles of the triangle—the ones marked 50° and x°.

  75° = 50° +x°

  25° = x° . . . . . . . subtract 50°

__

3.

The unmarked interior angle of the triangle is an alternate interior angle with the one marked 105°. So, it is congruent to 105°. The sum of the triangle interior angles is 180°, so you have ...

  x° +50° +105° = 180°

  x = 180° -155° = 25° . . . . as we had with our first approach

Joseph earns a salary of $40 per day working at a pizza
restaurant. He earns an additional $3 for every delivery he makes.
Which function represents the amount of money, y, Joseph will earn in one day if he makes x deliveries?
A y = 3x + 40
B y = 3x - 40
C y = 40x + 3

Answers

Answer:

C

Step-by-step explanation:

40x + 3

Answer:

A y = 3x + 40

Step-by-step explanation:

He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.

So, to find the amount of money he would make in one day your equation should look something like this

y = 3x + 40

y being that amount of money he makes in one day

3 being that amount of money he receives for every delivery

x being the number of deliveries he makes in one day

40 being that amount of money he makes in one day.

_________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake; I enjoy learning from them:)

please help me What is the mode of the data shown in this stem-and-leaf plot?

Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21

Enter your answer as a number, like this: 42 and explain your answer

Answers

Answer:  24

Explanation:

The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.

In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.

The mode is 24.

Find the polynomial function in standard form that has the zeros listed. 1(multiplicity 2), -2(multiplicity 3)​

Answers

Answer:

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

Step-by-step explanation:

If p is a zero, then (x -p) is a factor. The multiplicity of the zero tells you how many times that is a factor (its exponent).

  f(x) = (x -1)²(x +2)³ = (x² -2x +1)(x³ +6x² +12x +8)

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

_____

Additional comment

You can use the distributive property to write out the 12 terms of the product of the two expanded factors, or you can do a little mental arithmetic based on what you know about the exponent of a product term. (It is the sum of the exponents of its factors.)

The mental exercise can be made easier by writing the coefficients of the factors as though they were two cubics. It works well to write them in two rows:

  [tex]\left[\begin{array}{cccc}0&1&-2&1\\1&6&12&8\end{array}\right][/tex]

The columns are in order of decreasing powers of x. A relatively simple and symmetrical pattern of sums of cross products is used to find the coefficients of the final polynomial. Working in order of decreasing exponents, we have ...

coefficient of x^6 = (0)(1) = 0

coefficient of x^5 = (0)(6) +(1)(1) = 1

coefficient of x^4 = (0)(12) +(1)(-2) +(1)(6) = 4

coefficient of x^3 = (0)(8) +(1)(1) +(1)(12) +(6)(-2) = 1

coefficient of x^2 = (1)(8) +(6)(1) +(-2)(12) = -10

coefficient of x^1 = (-2)(8) +(12)(1) = -4

coefficient of x^0 = (1)(8) = 8

2. What are all possible names for line b?

Answers

Answer:

di ako sure pero ito :)

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .

A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?

Answers

Answer:

8.8

Step-by-step explanation:

First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.

Hope This Helps:)

Answer: 8.8

Step-by-step explanation:


How many solutions?
No solution
One Solution
Infinitely Many Solutions

Answers

Answer:

no solution

Step-by-step explanation:

solution would occur where the lines intersect; parallel lines will never intersect

Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn

Answers

Answer:

4,756.66 seconds or 1.321 hours

Here's how I got that:

- Simply use time formula and plug in what you know -

                         t = distance/speed

                                         ↓

              1,427,000,000,000/300000000

                                         ↓

                                t = 4,756.66

~That's all folks~

-Siascon

(If someone is online)pls help me to answer this question

Answers

Answer:

The correct answer is yes.

Step-by-step explanation:

I can help you. What do you need? :)

Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?

Answers

Answer:

Each elf made 85 toys

Step-by-step explanation:

First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.

Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.

Which condition in the figure below will prove l || m?

Answers

Answer:

m<2 + m<3 = 180°

Step-by-step explanation:

Lines intersected by a transversal are parallel if same-side interior angles are supplementary.

Answer: m<2 + m<3 = 180°

What is the completely factored form of f(x)=x^3+5x^2+4x-6

Answers

Answer:

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

Step-by-step explanation:

rewrote the expression

then factor out common numbers, variables, and exponents

Find the 82nd term of the arithmetic sequence —8, 9, 26, ...

Answers

N+17 , every sequence goes by that

82+17 = 99

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 â€"" 22x2 â€"" 9x 33. Her work is shown. Step 1: (6x3 â€"" 22x2) â€"" (9x 33) Step 2: 2x2(3x â€"" 11) â€"" 3(3x 11) Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next? Marisol should realize that her work shows that the polynomial is prime. Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) â€"" (9x â€"" 33). Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) (9x â€"" 33). Marisol should refactor the expression in Step 2 as 2x2(3x 11) â€"" 3(3x 11).

Answers

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Given that,

Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

We have to find,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

According to the question,

Marisol grouped the terms and factored the GCF out of the groups of the,

Polynomial; [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

Step1: Regroup into parts using parenthesis and taking the negative sign common,

        [tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]

Step2; Firstly find out the common terms and rewrite the equation,

        [tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25914835    

8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2

Answers

Answer:

Step-by-step explanation:

Slope is the change in y over the change in x.

m = (8 - 6) / (8 - 4) = 2/4 = 1/2

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-8)/(4-8)

m=-2/-4

m=1/2

Help please.. DuE Today. No LiNkS!!

Thanks! 8th Grade Mathh
No.2

Answers

Answer:

[tex]\text{(C).} ~~y=-2x+3[/tex]

Step-by-step explanation:

write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!

Answers

Answer:

x≤19

Step-by-step explanation:

because its everything to the left of 19 including 19

Answer:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

Step-by-step explanation:

Given the inequality graphed on a number line, where there is a closed circle on 19:

A closed circle represents the endpoint as part of the solution.  Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.

Therefore, the inequality represented on the number line is:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =

Answers

Answer:answer d

Step-by-step explanation:

i just did the test

22 - (+12) - (-4) + (-6)​

Answers

Answer:

8

Step-by-step explanation:

+- = --- = ++- = -++ = +

22-12+4-6 = 8

22 - (+12) - (-4) + (-6) = 22 - 12 + 4 - 6 = 8

ANSWER: 8
Ok done. Thank to me :>
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