3x-29=6x-7 what is x

The rectangle \(R\) is the set

\(R = \{(x,y) \mid 0 \le x \le 2 \text{ and } -1 \le y \le 1\}\)

The average value of \(f(x,y)\) over \(R\) is the ratio of the integral of \(f\) over \(R\) to the area of \(R\).

\(f_{\rm ave} = \dfrac{\displaystyle \iint_R f(x,y) \, dA}{\displaystyle \iint_R dA}\)

The rectangle is 2-by-2, so its area is

\(\displaystyle \iint_R dA = 2\times2 = 4\)

Integrate \(f\).

\(\displaystyle \iint_R xy^2 \, dA = \int_{-1}^1 \int_0^2 xy^2 \, dx \, dy \\\\ ~~~~~~~~ = 2 \int_{-1}^1 y^2 \, dy \\\\ ~~~~~~~~ = 4 \int_0^1 y^2 \, dy = \frac43\)

Then the average value of \(f\) is

\(f_{\rm ave} = \dfrac{\frac43}4 = \boxed{\dfrac13}\)

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

For more such questions on derivative

https://brainly.com/question/26369159

#SPJ8

From the given data , 26 girls represents the 48% of the members in a club then estimating total number of people in the club are 325 /6 approximately equal to 54.

As given in the question,

Let x represents the total number of members present in the club

Given:

48% of the total members present in the club are girls

Total number of girls present in club are 26

Required expression to estimate total number of members present in the club

48% of x = 26

⇒( 48 /100) × x = 26

⇒ x = (26 ×100) /48

⇒ x = 325 /6

⇒ x≈ 54 (approximately)

Therefore, as 26 girls represents the 48% of the members in a club then estimating total number of people in the club are 325 /6 approximately equal to 54.

The complete question is:

In a photography club, about 48% of the members are girls. If there are 26 members who are girls, explain how you can use mental math to estimate the total number of people in the photography club.

Learn more about estimate here

brainly.com/question/17961193

#SPJ1

Answer:

simplified: 4x−28

Step-by-step explanation:

The product of 4 and the difference of a number and 7 can be written as 4(x-7) where x is the number you are looking for.

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

y = 1/3x - 21 is the equation of the line in slope-intercept form.

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:

y - (-20) = 1/3(x - 3)

Simplifying this equation:

y + 20 = 1/3x - 1

Subtracting 20 from both sides:

y = 1/3x - 21

This is the equation of the line in slope-intercept form.

To learn more about slope from the given link:

https://brainly.com/question/3605446

#SPJ1

Answer 3.04 x 10^-2

I hope that helps!

Answer:

Step-by-step explanation:

5X * 4-->20X

8(2X+3)--> 16X+24

20X=16X+24

4X=24

x=6

Answer:

x = 6

Step-by-step explanation:

(5x) ×4=8× (2x+3)

20x = 16x + 24

20x- 16x = 24

4x = 24

divide both sides by 4 to get the value of x

4x/4 = 24/ 4

x = 6

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

Given,

The points which the line passes, (x₁, y₁) = (7, 6)

Slope of the line, m = 0

We have to find the equation of the line:

We know that,

y - y₁ = m(x - x₁)

So,

y - 6 = 0(x - 7)

y - 6 = 0

y = 6

That is,

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

Learn more about equation of line here:

https://brainly.com/question/25789778

#SPJ1

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

This gives us the value of $x$ as 3. Hence the answer is 3.

Step-by-step explanation:

Step-by-step explanation:

if you would arrange it in order and solve you will get 3

Answer:

1/15 or 0.0667

Step-by-step explanation:

brainly.in/question/40960504

bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

Answer:

352

Step-by-step explanation:

it repeated more than once

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

Step-by-step explanation:

Let the missing number be 'x'

⇒\( \mathsf{15 + 9 = x(5 + 3)}\)

Distribute x through the parentheses

⇒\( \mathsf{15 + 9 = 5x + 3x}\)

Swap the sides of the equation

⇒\( \mathsf{5x + 3x = 15 + 9}\)

Add the numbers

⇒\( \mathsf{5x + 3x = 24}\)

Collect like terms

⇒\( \mathsf{8x = 24}\)

Divide both sides of the equation by 8

⇒\( \mathsf{ \frac{8x}{8} = \frac{24}{8} }\)

Calculate

⇒\( \mathsf{x = 3}\)

Hope I helped!

Best regards!

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,

Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³

Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.

Learn more about Cylinder:

https://brainly.com/question/12248187

#SPJ1

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Learn more about translation on a coordinate plane at:

https://brainly.com/question/28109834

Answer:

thanks for the points

Step-by-step explanation:

The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

Learn more about triangle similarity here:

https://brainly.com/question/27996834

#SPJ4

The solution to the inequality is m ≤ -14/11 which is the correct answer would be option (C).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

If it is "> or," the shaded arrow is drawn to the right of the inequality graph; if it is "or," it is drawn to the left.

Given the inequality, -1/2m ≥ 7/11,

Which represents the solution to one-half m is greater than or equal to negative seven elevenths

Solve for m:

⇒ -1/2m(-2) ≥ 7/11(-2)

m ≤ -14/11 [Because we are multiplying both sides by a negative value, the sign shifts]

The solution to the inequality is m ≤ -14/11 which the graph is attached below for m ≤ -14/11.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ1

Answer:

The slope of this line is -1 you find this by using the slip formula of y-y over x-x find two points on the line so I used points (-2,2) and (-1,1) plug them into the formula to get the slope of -1

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

To know more about financial advisor based topics here

https://brainly.com/question/29767702

#SPJ1

The best estimate for the product 9/10 x 5/11 is 1/2.

Product in Mathematics simply means a number that you get when you multiply. It is used to illustrate tye concept of multiplication

In this case, the estimate for 9/10 is 1 and the estimate of 5/11 is 1/2. Therefore, the product will be:

= 1 × 1/2

= 1/2

This shows the estimation.

Learn more about product on:

brainly.com/question/25301924

#SPJ1

The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

Learn more about Equation:

https://brainly.com/question/28871326

#SPJ1

Answer:

Step-by-step explanation:

Given an assistant bricklayer laying 50 bricks an hour has worked 2 hours longer than a master bricklayer laying 80 bricks an hour, you want an equation stating they have laid the same number of bricks. You also want to know how long each has worked.

The output of each bricklayer is the product of the rate at which they lay bricks and the time for which they do it. If t is the time spent by the master bricklayer, their output will be 80t. The time spent by the assistant will be (t+2) hours, and their output will be 50(t+2).

Here is the equation that says their output is the same:

  80t = 50(t+2)

Solving the equation for t, we have ...

  80t = 50t +100

  30t = 100 . . . . . . . . . subtract 50t

  t = 3 1/3 . . . . . . . divide by 30

The master bricklayer has worked 3 1/3 hours when they have laid the same number of bricks.

The assistant bricklayer has worked 5 1/3 hours at that time.

__

Additional comment

Each will have laid (80)(3 1/3) = 266 2/3 bricks.

Answer:

DY

Step-by-step explanation:

TO ENCRYPT TO USING CAESAR ALPHABETIC SHIFT CIPHER OF 10. THIS MEANS WE'RE EXPECTED TO LOOP EVERY ALPHABET BY 10, SKIPPING EVERYONE TILL WE GET TO THE TENTH.

TO ENCRYPT T, WE HAVE

T = U - V - W - X - Y - Z - A - B - C - D

THEREFORE, T WILL BE ENCRYPTED AS D

TO ENCRYPT O, WE HAVE

O = P - Q - R - S - T - U - V - W - X - Y

HENCE, O WILL BE ENCRYPTED AS Y.

THIS MEANS THAT OUR QUESTION, TO, WILL BE ENCRYPTED AS DY

The evaluated value of x from the line geometry given is 36.

An angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.

Take the sum to have

x + 3x + x = 180

Simplify

4x + x = 180

5x = 180

Divide both sides by 5

5x/5 = 180/5

x = 36

Hence the value of x from the diagram is 36

Learn more on lines and angles here: https://brainly.com/question/24756010

#SPJ1