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

if the nth term of a sequence is n^2-5 what are the first three terms and the 10th term

Answers

Answer:

-4, -1, 4

95

Step-by-step explanation:

when n is 1

n² - 5 = 1² - 5

1 - 5 = -4

when n is 2

n² - 5 = 2² - 5

4 - 5 = -1

when n is 3

n² -5 = 3² - 5

9 - 5 = 4

10th term, when n is 10

n² - 5 = 10² - 5

100 - 5 = 95

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

Please show work!! I'll give you brainliest

10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?

Answers

Answer:

b=34.2m

Step-by-step explanation:

equation for area of parallelogram

a=b×h

in which b is the base(length) and h is the height

[tex]690.84 = b \times 20.2[/tex]

[tex]b = \frac{690.84}{20.2} [/tex]

b=34.2m

What is the common denominator of y StartFraction y minus 3 Over 3 EndFraction in the complex fraction y StartFraction y minus 3 Over 3 EndFraction divided by five-ninths StartFraction 2 Over 3 y EndFraction?.

Answers

The common denominator of the given expression is [tex]5y+6.[/tex]

Given expression,

[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }[/tex].

We have to find the common denominator.

On solving the numerator and denominator of the  given expression,

[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{\frac{3y+y-3}{3} }{\frac{5y+6}{9y} }[/tex]

       [tex]= \dfrac{\frac{4y-3}{3} }{\frac{5y+6}{9y} }[/tex]

[tex]= \dfrac{4y-3}{3} \times\dfrac{9y}{5y+6}[/tex]

Or,[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{3y(4y-3)}{5y+6}[/tex]

Hence the common denominator of the above expression is given by [tex]5y+6.[/tex]

For more details follow the link:

https://brainly.com/question/357568

Answer:

Not A 3y(y – 3)

Not B y(y – 3)

it is either C 3Y or D 3

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?

Answers

Answer:Let Y = height

Let X = time

Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.  

We can calculate the slope from the given values (8,20.4) and (19,18.2)

Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2

This means that the height of the candle is going down by 0.2 cm per hour

Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.  

So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters

Step-by-step explanation:

6. Which statement about this figure is true?

Answers

what statement and about what figure??

whats 1 + 1

ahsdugiywayhdyhawdwahdwahidwadad

Answers

2 or 11 or window or whatever

Answer:

11

Step-by-step explanation:

It's clearly 11

1 + 1 = 11

just put the 2 numbers together

What is the distance from point D to point C?
A.1 unit

B.2 units

C.3 units

D.4 units​

Answers

Answer:

the distance from point D to point C.

B.2 units

Answer:

B:-2

Step-by-step explanation:

just count the box and you will get your answer

Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.

Answers

Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?

-2a
0b
-2
× -5b
4
× -b

Answers

Answer:

Step-by-step explanation:

Army DA administrative publications and forms by the Army Publishing Directorate APD. The latest technologies high quality electronic pubs and forms view ...

16. If a triangle has two side lengths of 8 inches and 23 inches, describe the possible lengths for the third
side?

Answers

banana boat princess hehehehehehe

Answer:

24

Step-by-step explanation:

46. A sphere shaped bowl has a radius of 5.5 inches How much water can the bowl hold? Round to the nearest tenth.

Answers

Answer:

try 17.89 cm..then 18 for answer

Emma is making a recipe that needs 2 1/2 cups of sugar. Each
scoop contains 1/4 cup of sugar. How many scoops of sugar
does she need to add for the entire recipe?

Answers

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

The number of scoops of sugar needed is 10 scoops.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

[tex]\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}[/tex]

Which gives;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}[/tex]

[tex]\displaystyle 2 \frac{1}{2} = \frac{5}{2}[/tex]

[tex]\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10[/tex]

Therefore;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops[/tex]

The number of scoops she needs for the entire recipe is 10 scoops

Learn more about division by fractions here:

https://brainly.com/question/20591763

X=?

38 degrees 75 degrees

Answers

sum of angle of triangle is 180°

A+B+C = 180

38°+75°+ X = 180°

113° + X = 180°

X = 180° -113

X = 67°

Answer:

67

Step-by-step explanation:

The ages and grades of some of the 19 girls on a club soccer team are shown in the table. Which two-way frequency table correctly shows the marginal frequencies? ​

Answers

Answer:

Step-by-step explanation:

add up to a total of 21 girls. The question says there are 19 girls, so those two are eliminated. Table B's data doesn't even add properly so that is eliminated too

Answer:

Add up the 21 girls,

table B is out btw

Ik I'm late just want to help :)

In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!

Answers

Answer:

Step-by-step explanation: 2x+15 = 75

                                             2x=60

                                              x=30 blue candies

                                              30 + 15 = 45 yellow candies in the bag

Help me please tha is a practice but is I pass it will make me not fail math

Answers

Answer:

x = 21   The angles are 85°, 58°,  69°, and 148°

Step-by-step explanation:

The sum of the interior angles of a 4 sided figure formula :

Sum of the interiors = (n - 2) 180°

Sum of the interiors = (4 - 2) 180  

Sum of the interiors = (2)180° = 360°

Now : 85° + (x + 37)° + 69° + (6x + 22)° = 360°

           213 + 7x = 360

           7x = 360 - 213

             7x = 147

              x = 21     the angles are 85°, (21 + 37)° = 58°; 69°; (6·21 +22)°= 148°

Answer:

The degrees inside the quadrilateral are 85, 148, 69, and 58.

Step-by-step explanation:

The interior of the quadrilateral equals 360 degrees.

All the degrees inside need to add up to 360. You need to find out what x is so you can do that.

First, add all the degrees you know, then solve for x.

85 + 69 = 154.

Now, add in the other angles.

154 + (6x + 22) + (x + 37)

Add like terms together.

154 + 22 + 37 = 213 degrees       6x + x = 7x.

7x + 213 needs to equal 360.

Subtract 213 from both sides to get 7x alone.

7x = 360 - 213

7x = 147

Now, you need to solve for x.  You do this by dividing both sides by 7.

7x/7 = 147/7

x = 21

To find the degrees of the two unknown angles, substitute 21 back in where x is.

6(21) + 22 = 126 + 22 = 148

and 21 + 37 = 58

85 + 148 + 69 + 58 = 360 degrees.

At Hunter's Arcade, 2/3 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Hunter's Arcade are motorcycle-racing games?

Answers

5/8 I believe this is the answer

Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.

Answers

Answer:

Below in bold.

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1)

where m = the slope of the line and (x1, y1) is a point on the line.

Here m = 5, x1 = -3 and y1 = 6.

So we have:

y - 6 = 5( x - (-3))

y - 6 = 5(x + 3)   (Answer)

Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6

Answers

the answer is 5 tickets

Answer:

5 tickets

Step-by-step explanation:

45 - 6.75 = 37.35

37.35 ÷ 4 = 9.3375

So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets

4
en 2 = 21,426
6%-
*8 = 21 - 22 - 24
8
-8=24
16
44-8-8=24 -
2x
47.
4y

Answers

Answer:

Step-by-step explanation:

BOX #1 -- 2x

BOX #2 -- 4x

BOX #3 -- 8

BOX #4 -- 16

BOX #5 -- 4

Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply. F(x) = |x| f(x) = |x â€" 2| f(x) = |x| 3 f(x) = 2. 9|x| f(x) = 1. 2|x 8| f(x) = 0. 7|x| â€" 3. 2.

Answers

The absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x|  and f(x) = 1.2|x + 8|

For an absolute value function to be narrower than its parent function, the following highlights must be true:

The function must be dilatedThe scale of dilation must be greater than 1

From the given options, the dilated functions are: f(x) = 2.9|x|, f(x) = 1.2|x + 8| and f(x) = 0.7|x| – 3.2

However, the dilated functions that have a scale of dilation greater than 1 are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|

Hence, the absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x|  and f(x) = 1.2|x + 8|

Read more about absolute value functions at:

https://brainly.com/question/7515527

Which equation represents the function shown on the graph?

y = x
y = x
y = 2x
y = 4x

Answers

Answer:

x = 0, y = 0

Step-by-step explanation:

a movie rental service charges a $15 fee plus $1.50 per rental. suppose you have $40 to spend. how many movies can you rent

Answers

Answer:

16

Step-by-step explanation:

y = mx+b, where y is cost x is # of movies, m is $ per rental and b is the flat charge.

y = 1.50x+15

40 = 1.50x+15

25 = 1.50x

16.666... = x

You can rent about 16 movies

Hope that helps

Answer:

40 = 1.50x+15

25=1.50x

x=16

16 movies

Step-by-step explanation:

empat angka setelah angka tiga

Answers

Answer:

hindi ko po gets

yan sorry

The ground temperature at an airport is 14 °C. The temperature decreases by 62 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?​

Answers

Answer:

52°C

Step-by-step explanation:

After the first four games of a professional football season, three players scored a total of 80 touchdowns.

Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.

How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns

Answers

Try answer C. 32 touchdowns

Given the equations x^2 + 8x + 12 = 0 and 3x + 6 = 0, what is the common
solution?

Answers

[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]

[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]

Here, the common solution is -2.

Answer:

x = -2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?

Answers

.25
you can come to this conclusion by calculating 13/52

ANSWER ASAP PLS

A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16

Answers

Step-by-step explanation:

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

= (2-4)/(-2+6)

= -2/4

= -1/2

now

y=mx+c

4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)

or,4= 3+c

therefore, c=1

now

y=mx+c

y= -1/2x+1

or, y = 1-x/2

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