The coefficient of 2(3)(6)Q is

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

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Note the complete question is

La ecuación lineal está dada por y = (5/4)x + (1/2)

Una ecuación lineal tiene la forma:

y = mx + b

donde y, x son variables, m es la tasa de cambio y b es el intercepto en y.

Dada la ecuación:

5x/2y-1=2​

Para resolver la ecuación, primero multiplique en cruz:

5x = 4y - 2

4y = 5x + 2

y = (5/4)x + (1/2)

La ecuación lineal está dada por y = (5/4)x + (1/2)

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The value of x, considering the vertical angles in this problem, is given as follows:

x = 11.

Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.

The vertical angles for this problem are given as follows:

As the vertical angles are congruent, the value of x is obtained as follows:

2x - 4 = x + 7

x = 11.

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Answer:

Step-by-step explanation:

To solve this system of equations, we can first eliminate one of the variables by adding the equations together.

3x - y = 0

x + y = -2

Adding the equations together:

(3x - y) + (x + y) = 0 + (-2)

4x = -2

x = -1/2

Now we can substitute this value of x back into one of the original equations to find the value of y.

3x - y = 0

3(-1/2) - y = 0

-3/2 - y = 0

y = 3/2

So the solution of the system of equations is x = -1/2, y = 3/2.

To graph the system, we can substitute these values of x and y into the original equations to find the x and y intercepts, which are the points where the line crosses the x and y axis.

3x - y = 0

x = 0, y = 0

x + y = -2

x = 0, y = -2

So the x-intercept is (0, 0) and the y-intercept is (0, -2). Now we can plot these points on the coordinate plane and use them to draw the lines for each equation. We can see that the lines intersect at the point (-1/2, 3/2), which is the solution of the system.

graph:

y = 3/2 x + 0

y = -x -2

Both lines intersect at (-0.5,1.5)

Answer:

20π [in].

Step-by-step explanation:

1. formula is:

C=π*2r;

2. the circumference according to the formula is:

C=π*10*2=20π.

Answer:

15.40/3.5=$4.40 dollars a pound

7.65/1.8=$4.25 dollars a pound

Step-by-step explanation:

divide to get the unit price

so 7.65/1.8=$4.25 dollars a pound is the cheaper unit as well.

15 songs x 1.25 per song = $18.75 per month for songs.

18.75 per month x 6 months = $112.50

112.50 + 24.00 = $136.50 total

The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.

A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.

The number of students who watched between 0 - 4 hours = 20

The number of students who watched between 5 - 9 hours = 40

The number of students who watched between 10 - 14 hours = 30

The number of students who watched between 15 - 19 hours = 20

The number of students who watched between 20 - 24 hours = 15

The total number of students who participated = 125

Thus, using the histogram, the total number of students who participated in the survey was 125.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:When you leave the interest in your

account or reinvest the money you earn on your

investments, the money you earn starts to earn

money too. Over time, the magic of

compounding works, allowing your money to

grow with dramatic results. The more time you

have to save, the less money you need to save

because of compounding. And the longer you

wait to start saving, the more you have to spend

to reach your goal. For example, let’s assume

that Maria’s savings grow by 5% a year. If she

starts to save $243 a month now, it will cost her

$58,320 to have $100,000 in twenty years. If

she waits 10 years to start saving, she will have to

save $644 a month for 10 years, and it will cost

her $77,280 to reach $100,000 in twenty years.

Step-by-step explanation:Hope this helps!!!!

Answer:

$10,000 invested into stocks

Step-by-step explanation:

Answer:

weekly clean up day around the world of bike day

Step-by-step explanation:

weekly clean up is very important because water going and washing things down  and bike day will keep air clean and water clean and keep people fit like in mexico the have weekly bike days.

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

(A) Mean

(B)  Mean

(C) Mode

Hope this helps!

And hit Brainlest if ya want! ;))

If the value of b is 8. Then the value of the expression (9 - b) will be 1.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 9 - b

If the value of b is 8. Then the value of the expression will be

⇒ 9 - b

⇒ 9 - 8

⇒ 1

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Answer: 200 seconds

Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200

Answer:

Thanks

Step-by-step explanation:

Thanks

Answer:

12.5 mm

What is the mean rainfall for the highland storms

Step-by-step explanation: since i helped can i have brainlist please :D

Answer:

12.5mm

Step-by-step explanation:

12.5mm sorry if this is wrong

Answer:

yes

Step-by-step explanation:

6.80

6.75                         8 is greater then 7 therefore 6.80 is greater

Answer:

lol this is easy use a cal  4 x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Cube root of 27 is 3.

3³ = 27.

Alona is using a quantitative approach to her studies.

The goal of quantitative research is to quantify the data collection and processing process.

It is based on a deductive method that emphasizes the validation of the hypothesis and is influenced by positivist and empiricist theories.

This research technique, which is related to the natural, applied, formal, and social sciences, encourages the unbiased empirical exploration of observable phenomena to test and comprehend correlations.

This is accomplished using a variety of quantification techniques and procedures, demonstrating the wide application of this approach as a research strategy across numerous academic fields.

So, in the given situation, Alona is using the quantitative research method.

Therefore, Alona is using a quantitative approach to her studies.

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The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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9514 1404 393

Answer:

  24 cups

Step-by-step explanation:

One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...

  4 × 6 cups = 24 cups . . . combined

Answer:

Rate of depreciation = 27%

Step-by-step explanation:

Given:

Purchase price = $32,650

Rate in 2020 = $23,834.50

Find:

Rate of depreciation

Computation:

Depreciation = Purchase price - Rate in 2020

Depreciation = $32,650 - 23,834.50

Depreciation = $8,815.5

Rate of depreciation = [8,815.5 / 32650] 100

Rate of depreciation = 27%

The experimental probability of the rolling a 6 is 13%.

Probability is the likelihood of a desired event happening. Experimental probability is a probability that relies mainly on a series of experiments.

From the table:

The total number of times all the numbers appear is:

total number of times = 7 + 4 + 4 +  5 + 6 + 4 = 30

The number six (6) occurred 4 times.

Experimental probability = (occurrence of 6 / total number of times)

Experimental probability = 4/30 * 100

Experimental probability = 13%

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The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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