which table represent a proportional relationship? choose all that apply

To find the point, concepts of differentiation were used. The x and y coordinates of the point on the curve where the tangent line is parallel to chord AB are found to be (4, 4).

The curve [tex]y^2 = 4x[/tex] and the chord joining the points A(-4,0) and B(0,2) on the curve, we can find slope of  AB by using the formula:
[tex]Slope = (y2 - y1) / (x2 - x1)Slope = (2 - 0) / (0 - (-4))Slope = 2 / 4Slope = 1/2[/tex]

Now, we need to find the point on the curve where the tangent line is parallel to the chord AB. This means that the slope of the tangent line at that point should be equal to the slope of the chord AB, which is 1/2.

To find the slope of the tangent line, we can differentiate the given curve with respect to x : [tex]y^2 = 4x2y(dy/dx) = 4dy/dx = 2/y[/tex]
Now, we can equate the slope of the tangent line to the slope of the chord AB:
2/y = 1/2
y = 4

Substituting the value of y back into the given curve equation, we get:
[tex]4^2 = 4x[/tex]
x = 4

So, the x and y coordinates of the point on the curve where the tangent line is parallel to chord AB are (4, 4). Therefore, the answer is (4, 4).

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When an electric field is applied to a charged particle. Since the pressure applied on particles accelerates it, it meets Newton's second law.

The third law asserts that there's an identical and diametrically opposed response to every activity (force) in nature. If object A applies a force to object B, object B applies an opposite force of equal magnitude to object A. In other words, direct impact on the growth energies. In addition, the current injected in the coil becomes proportional to its area.

[tex]F = ma = qe[/tex]

so [tex]q e = ma[/tex]

[tex]F_{12}[/tex] = [tex]- F_{21}[/tex]

First Law: An object in motion remains in motion until it is acted with by an imbalanced force. Second Law: Force equals an object's mass multiplied by its acceleration (F=ma). Third Law: For any force operating on an item.

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 The inverse of the matrix. A^-1(b) =

[-2/5, -1/5, -1/5]

[1/5, 1/5, 1/5]

[3/5, 2/5, -1/5]

The value of x,y,z are:

x = 2/5,

y = -1/5,

z = -2/5.

To find the inverse of the matrix A, we use the formula A-1 = (1/det A) × adj(A). We calculate the determinant as det A = (1)(-2)(-1) - (-2)(1)(-1) + (3)(1)(-2) = 1 + 2 - 6 = -5. Then, the inverse of the matrix A is A-1 = (-1/5) × adj(A) = (-1/5) ×

[-2, 1, 3]

[1, -1, -2]

[-1, 1, -1]

= (-1/5) ×

[-2, -1, -1]

[1, 1, 1]

[3, 2, -1]

=

[-2/5, -1/5, -1/5]

[1/5, 1/5, 1/5]

[3/5, 2/5, -1/5]

Now, we use the inverse matrix to solve the system:

x - 2y + 3z = 1

-x + y - 2z = -2

x - y - z = -1

A-1A = I, so A-1 × [x y z] = [1 -2 -1], so

[x y z] = A-1 × [1 -2 -1] =

[-2/5, -1/5, -1/5] × [1 -2 -1]

+ [1/5, 1/5, 1/5] × [1 -2 -1]

+ [3/5, 2/5, -1/5] × [1 -2 -1]

= [2/5 -1/5 -2/5]

Therefore, x = 2/5, y = -1/5, z = -2/5.

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The level curve is the line 4x+2y=4, and the gradient is the vector <4,2> at the point (−1,4).

To find the gradient of the function f(x,y)=4x+2y at the point (−1,4), we need to take the partial derivatives with respect to x and y.

The partial derivative with respect to x is:
∂f/∂x = 4

The partial derivative with respect to y is:
∂f/∂y = 2

Now, we can plug in the point (−1,4) to find the gradient at that point:

∂f/∂x|(-1,4) = 4
∂f/∂y|(-1,4) = 2

So the gradient at the point (−1,4) is:
∇f(-1,4) = <4,2>

To sketch the gradient together with the level curve that passes through the point, we need to find the equation of the level curve. The level curve is the set of points where the function has the same value.

Since f(-1,4) = 4(-1)+2(4) = 4, the equation of the level curve is:
4x+2y=4

Now, we can sketch the level curve and the gradient at the point (−1,4):

The level curve is the line 4x+2y=4, and the gradient is the vector <4,2> at the point (−1,4). The gradient is perpendicular to the level curve and points in the direction of greatest increase of the function.

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To derive [tex]cos(x/2) = +sqrt(1+cosx)/2[/tex], we can use the half-angle formula for cosine, which states that:

[tex]cos(x/2) = ±sqrt((1 + cos x) / 2)[/tex]

To determine the sign of the square root, we need to know the quadrant in which x/2 lies. Since x/2 is half of the angle x, we can use the properties of cosine to determine the sign of cos x.

Specifically:

If x lies in the first or fourth quadrant, then cos x is positive.

If x lies in the second or third quadrant, then cos x is negative.

Now, let's consider the two cases separately:

Case 1: x/2 lies in the first or fourth quadrant.

In this case, cos x is positive, so we take the positive sign in the half-angle formula:

[tex]cos(x/2) = +sqrt((1 + cos x) / 2)[/tex]

Case 2: x/2 lies in the second or third quadrant.

In this case, cos x is negative, so we take the negative sign in the half-angle formula:

[tex]cos(x/2) = -sqrt((1 + cos x) / 2)[/tex]

Therefore, we have two possible values for cos(x/2), depending on the quadrant in which x/2 lies. However, if we want to find a single expression for cos(x/2) that is always positive, we can take the positive square root in the half-angle formula:

[tex]cos(x/2) = +sqrt((1 + cos x) / 2)[/tex]

This expression is valid for all values of x, and it is always positive.

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The standard deviation for the sampling distribution of the sample proportions is approximately 0.031.

To calculate the standard deviation for the sampling distribution of the sample proportions, we'll use the formula for the standard deviation of a proportion:
σ[tex]_p = √(p * (1-p) / n)[/tex]
where p is the proportion of adults likely to use the car buying service (12.5% or 0.125),

n is the sample size (115 people), and σ[tex]_p[/tex] is the standard deviation of the sample proportions.
Step 1: Convert the percentage to a decimal.
12.5% = 0.125
Step 2: Calculate 1 - p.
1 - 0.125 = 0.875
Step 3: Multiply p and (1 - p).
0.125 * 0.875 = 0.109375
Step 4: Divide the result by the sample size (n).
0.109375 / 115 = 0.000951086
Step 5: Find the square root of the result.
√0.000951086 = 0.030846
Step 6: Round the result to three decimal places.
0.030846 rounded to three decimal places is 0.031.

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After answering the presented question, we can conclude that function Therefore, F(9x) followed by G(27x) is given by:[tex]F(G(9x)) = G(F(9x)) = G(27x) = 270x - 3.[/tex]

Mathematicians research numbers and their variants, equations or related structures, structures and their locations, and prospective locations for these things. The noun "function" describes the connection that exists among a set of inputs, each of which has a corresponding output. A function is an input-output connection where each input results in a single, separate output. A domain, codomain, or scope is assigned to each function. Functions are usually denoted by the letter f. (x). An x is used for entry. On functions, one-to-one skills, multiple capabilities, in skills, and on functions are the four major types of accessible functions.  

To find F(9x),

[tex]F(9x) = 3(9x) = 27x\\G(27x) = 10(27x) - 3 = 270x - 3\\[/tex]

Therefore, F(9x) followed by G(27x) is given by:

[tex]F(G(9x)) = G(F(9x)) = G(27x) = 270x - 3.[/tex]

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The Cov(X,Y) = E(XY) - E(X)E(Y) = 1.26 - 0.76(1.70) = 0.02h) Find ρX,Y.To find the correlation coefficient of X and Y, we use the formula ρX,Y = Cov(X,Y) / (σXσY). We already calculated Cov(X,Y) to be 0.02. Now we need to calculate σX and σY. We calculated σX to be 0.638. We could not calculate σY because the variance was negative. Therefore, we cannot find the correlation coefficient of X and Y.

Find the marginal probability mass function pX(x). Round the answers to two decimal places.a.1) Px(0)a.2) Px(1)a.3) Px(2)We can use the following formula to find the marginal probability mass function: Px(x) = Σy P(x, y) where Σy is the sum of all the values of y for each value of x.

The table shows the joint probability mass function of the random variables X and Y.X/Y|0 |1 |2 |P(X=x)0 |0.12 |0.16 |0.280.6 |1 |0.18 |0.14 |0.320.64 |2 |0.10 |0.12 |0.22Let's now use the formula to find Px(0):Px(0) = Σy P(0, y) = P(0,0) + P(0,1) + P(0,2) = 0.12 + 0.16 + 0.28 = 0.56Now we'll find Px(1):Px(1) = Σy P(1, y) = P(1,0) + P(1,1) + P(1,2) = 0.18 + 0.14 = 0.32Lastly, we'll find Px(2):Px(2) = Σy P(2, y) = P(2,0) + P(2,1) + P(2,2) = 0.10 + 0.12 = 0.22b)

Find the marginal probability mass function pY(y). Round the answers to two decimal places.b.1) Py(0)b.2) Py(1)b.3) Py(2)We can use the following formula to find the marginal probability mass function: Py(y) = Σx P(x, y) where Σx is the sum of all the values of x for each value of y. The table shows the joint probability mass function of the random variables X and Y.X/Y|0 |1 |2 |P(X=x)0 |0.12 |0.16 |0.280.6 |1 |0.18 |0.14 |0.320.64 |2 |0.10 |0.12 |0.22

Let's now use the formula to find Py(0):Py(0) = Σx P(x, 0) = P(0,0) + P(1,0) + P(2,0) = 0.12 + 0.18 + 0.10 = 0.40Now we'll find Py(1):Py(1) = Σx P(x, 1) = P(0,1) + P(1,1) + P(2,1) = 0.16 + 0.14 + 0.12 = 0.42Lastly, we'll find Py(2):Py(2) = Σx P(x, 2) = P(0,2) + P(1,2) + P(2,2) = 0.28 + 0.14 + 0.22 = 0.64c) Find µXTo find µX, we use the formula µX = E(X) = Σx xP(X = x).

We can calculate the expected value of X by using the marginal probability mass function Px(x) that we previously calculated. The formula is: E(X) = Σx xPx(x) = 0(0.56) + 1(0.32) + 2(0.22) = 0 + 0.32 + 0.44 = 0.76Therefore, µX = 0.76d) Find μY.

Round the answer to two decimal places.To find µY, we use the formula µY = E(Y) = Σy yP(Y = y). We can calculate the expected value of Y by using the marginal probability mass function Py(y) that we previously calculated. The formula is: E(Y) = Σy yPy(y) = 0(0.40) + 1(0.42) + 2(0.64) = 0 + 0.42 + 1.28 = 1.70Therefore, µY = 1.70e) Find σX.To find the standard deviation of X, we can use the formula σX = sqrt(V(X)) where V(X) is the variance of X. To find the variance of X, we use the formula V(X) = E(X²) - [E(X)]². We already calculated E(X) to be 0.76. Now we need to calculate E(X²):E(X²) = Σx x²P(X = x) = 0²(0.56) + 1²(0.32) + 2²(0.22) = 0 + 0.32 + 0.88 = 1.20

Therefore, V(X) = E(X²) - [E(X)]² = 1.20 - 0.76² = 0.4064σX = sqrt(V(X)) = sqrt(0.4064) = 0.638f) Find σY.To find the standard deviation of Y, we can use the formula σY = sqrt(V(Y)) where V(Y) is the variance of Y. To find the variance of Y, we use the formula V(Y) = E(Y²) - [E(Y)]².

We already calculated E(Y) to be 1.70. Now we need to calculate E(Y²):E(Y²) = Σy y²P(Y = y) = 0²(0.40) + 1²(0.42) + 2²(0.64) = 0 + 0.42 + 1.28 = 1.70Therefore, V(Y) = E(Y²) - [E(Y)]² = 1.70 - 1.70² = -0.29σY = sqrt(V(Y)) = sqrt(-0.29)This is an invalid result, since the variance cannot be negative. Therefore, there may be an error in the calculations or in the values provided in the table.

We cannot find the standard deviation of Y.g) Find Cov(X, Y).To find the covariance of X and Y, we use the formula Cov(X,Y) = E(XY) - E(X)E(Y). We already calculated E(X) and E(Y) to be 0.76 and 1.70 respectively. Now we need to calculate E(XY):E(XY) = Σx Σy xyP(X = x, Y = y) = 0(0)(0.12) + 0(1)(0.16) + 0(2)(0.28) + 1(0)(0.18) + 1(1)(0.14) + 1(2)(0.00) + 2(0)(0.10) + 2(1)(0.12) + 2(2)(0.22) = 0 + 0 + 0 + 0 + 0.14 + 0 + 0 + 0.24 + 0.88 = 1.26

Therefore, Cov(X,Y) = E(XY) - E(X)E(Y) = 1.26 - 0.76(1.70) = 0.02h) Find ρX,Y.To find the correlation coefficient of X and Y, we use the formula ρX,Y = Cov(X,Y) / (σXσY). We already calculated Cov(X,Y) to be 0.02. Now we need to calculate σX and σY. We calculated σX to be 0.638. We could not calculate σY because the variance was negative. Therefore, we cannot find the correlation coefficient of X and Y.

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Answer:

a)5x+6

b) 8y+11

c) 8k+7m

d) 8u+2v

e) 5n+3

f) 3p-4q

Step-by-step explanation:

3x+2x=5x       5+1=6

8+3=11        7y+y=8y (basically a 1 in front of the y so just pretend it has a 1 in front of it)

2k+6k=8k             3m+4m=7m

7u+u=8u           v+v=2v    (same thing like before imagine a 1 in front of all non-coefficient variables.)

8n-3n=5n           5-2=3

4p-p= 3p              7q-3q= 4q

:)

Answer:

The answers are below. All you need to do is add the numbers with the same variable (letter) and if they do not have the same variable, then you cannot add them and leave as is.

You also need to add the numbers with no variables together.

Step-by-step explanation:

a)5x+6

b) 8y+11

c) 8k+7m

d) 8u+2v

e) 5n+3

f) 3p-4q

The expression that represent the number of seat in the theatre is 27 × n.

A theatre has 27 rows with n seats in each row. Therefore, the expression that shows the number of seats in the entire theatre can be represented as follows:

An algebraic expression  is made up of variables and constants, along with algebraic operations such as addition, subtraction, multiplication, division etc.

Hence, the theatre has 27 rows with n seat in each row.

Therefore,

number of seats in the theatre = 27 × n

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For equation of line y = 8.5x + 6: the slope = 8.5 and the y-intercept is (0, 6)

The correct answer is an option (d)

We know that the slope-intercept form of equation of line is:

y = mx + c

where m is the slope of the line

and c is the y-interecpt of the line

Here, the equation of the line is y = 8.5x + 6

Comparing equation of line y = 8.5x + 6 with the slope-intercept form of equation of line y = mx + c we get,

m = 8.5

and c = 6

Therefore, the slope = 8.5 and y-intercept = (0, 6)

The correct answer is an option (d)

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since A is a 4x3 matrix and B is a 3x4 matrix, there are only 3 columns in A and 3 rows in B. This means that there are not enough linearly independent columns in A or rows in B to create the identity matrix I4.

The matrix product AB cannot possibly be the identity matrix I4.

Suppose A is a 4x3 matrix and B is a 3x4 matrix. The matrix product AB will be a 4x4 matrix. However, the identity matrix I4 is also a 4x4 matrix, with ones along the main diagonal and zeros everywhere else.

In order for the matrix product AB to equal the identity matrix I4, the columns of A must be linearly independent, meaning that they cannot be expressed as a linear combination of the other columns. Similarly, the rows of B must be linearly independent.

However, since A is a 4x3 matrix and B is a 3x4 matrix, there are only 3 columns in A and 3 rows in B. This means that there are not enough linearly independent columns in A or rows in B to create the identity matrix I4.

Therefore, the matrix product AB cannot possibly be the identity matrix I4.

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The answer of the given question based on finding the percentage the answer is we get that approximately 44.8% of the 10th graders who participate in a foreign language club speak Spanish.

A table is a collection of data organized in rows and columns, with each row representing a record or observation and each column representing a variable or field. Tables are commonly used in a variety of contexts, including in databases, spreadsheets, and websites, to store and display information in a structured and easily understandable format.

The table shows that there are 13 10th graders who participate in the Spanish club out of a total of 13+12+4=29 10th graders who participate in a foreign language club.

To find the percentage of 10th graders who participate in a foreign language club and speak Spanish, we can use the following formula:

Percentage = (Number of 10th graders who speak Spanish / Total number of 10th graders who participate in a foreign language club) x 100%

Plugging in the values we have, we get:

Percentage = (13 / 29) x 100%

Percentage = 44.8%

Rounding to the nearest tenth, we get that approximately 44.8% of the 10th graders who participate in a foreign language club speak Spanish.

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Answer:

equation 4

Step-by-step explanation:

2+6=8

4+4=8

6+2=8

10-4=6

so the answer is equation 4) y=5x-4

Answer:

Step-by-step explanation:

answer is 4

Answer: x is 28?? just do 29-2

The value οf each expressiοn a. 16.2 + (-8.4) = 7.8

An expressiοn in math is a sentence with a minimum οf twο numbers οr variables and at least οne math οperatiοn. This math οperatiοn can be additiοn, subtractiοn, multiplicatiοn, οr divisiοn.

The difference between expressiοns and equatiοns is that an expressiοn is made up οf a cοmbinatiοn οf numbers and variables and οperatiοn symbοls, whereas an equatiοn is that twο different expressiοns are cοnnected tο each οther by an equals sign in between. This indicates that each side οf the expressiοn is οf the same value.

b. |-10| + 5 * 5 = 10 + 25 = 35

c. -9.2 + (-7) = -16.2

d. (-4) - (-1) = -4 + 1 = -3

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The inequalities which represent the given system are [tex]y \geq x^{2} -2x+4[/tex] and [tex]y < - x^{2} +4[/tex].

Inequalities describe the relationship between two values that are not equal.

Here the question is to find the inequalities of the two graphs, where the first is a solid upward opening parabola with a vertex at (1,3) and passing through (-1,7) and (3,7) with shading inside the parabola. The second is a dashed downward opening parabola with a vertex at (0,4) and passing through (-2,0) and (2,0) with shading inside the parabola.

Let's analyze the graphs of the given inequalities;

Therefore the inequality which represents 'the first is a solid upward opening parabola with a vertex at (1,3) and passing through (-1,7) and (3,7) with shading inside the parabola' is [tex]y \geq x^{2} -2x+4[/tex] and the inequality which represents 'the second is a dashed downward opening parabola with a vertex at (0,4) and passing through (-2,0) and (2,0) with shading inside the parabola' is [tex]y < - x^{2} +4[/tex]

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The length of the cut that Franklin made is 100 centimeters.

What is Pythagoras' theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The cut that Franklin made is the length of the diagonal of the plywood, which we can find using the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the plywood forms a right triangle with sides of length 80 cm and 60 cm. Therefore, the length of the diagonal (the hypotenuse) can be found as follows:

diagonal length = [tex]\sqrt{(80^2 + 60^2)[/tex]

[tex]= \sqrt{(6400 + 3600)[/tex]

[tex]= \sqrt{10000[/tex]

= 100 cm

Therefore, the length of the cut that Franklin made is 100 centimeters.

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One example of a set of matrices that can form a basis for the vector space of 2x2 matrices is:

[tex]{\begin{bmatrix}1 &0 \\ 0& 0\end{bmatrix}\begin{bmatrix}0 &1 \\ 0& 0\end{bmatrix}\begin{bmatrix}0&0 \\ 1& 0\end{bmatrix}\begin{bmatrix}0 &0 \\ 0& 1\end{bmatrix}[/tex]

Each of these matrices has exactly one entry that is equal to 1, and all other entries are equal to 0. These matrices are linearly independent, which means that none of them can be expressed as a linear combination of the others. Additionally, any 2x2 matrix can be expressed as a linear combination of these four matrices, which means that they span the entire vector space of 2x2 matrices.

To see why this is true, consider any 2x2 matrix:

[tex]\begin{bmatrix}a &b \\ c& d\end{bmatrix}[/tex]

This matrix can be written as a linear combination of the four matrices in the set:

[tex]\begin{bmatrix}a &b \\ c& d\end{bmatrix}[/tex]= a[tex]{\begin{bmatrix}1 &0 \\ 0& 0\end{bmatrix}[/tex] + b[tex]\begin{bmatrix}0 &1 \\ 0& 0\end{bmatrix}[/tex] + c[tex]\begin{bmatrix}0&0 \\ 1& 0\end{bmatrix}[/tex]+ d[tex]\begin{bmatrix}0 &0 \\ 0& 1\end{bmatrix}[/tex]

Therefore, the set forms a basis for the vector space of 2x2 matrices.

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Answer:

x  <9

Step-by-step explanation:

Answer:

x < 9

Step-by-step explanation:

x -4 < 5

x -4 +4 < 5 + 4

x < 9

Those are the steps, just add 4 to both sides to isolate x.

May I please have brainliest? I put a lot of thought and consideration into my answers, so I would really appreciate it! Thanks!

The union set for the given sets X and Y are: X∪Y = {0,1,2,4,6,8,9}.

The elements shared by all of the sets are contained in the union of two (maybe three, as well as four, or more) sets.

The given sets are;

X={1,2,8,9}

Y={0,1,2,4,6,8,9}

So, union set contains all the values from both set without repeating the values.

Thus,

X∪Y = {0,1,2,4,6,8,9}.

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A graph οf a line that passes thrοugh the pοints (0, -0.5) and (2, -1). Then the cοrrect οptiοn is A.

A cοnnectiοn between a number οf variables results in a linear mοdel when a graph is displayed. The variable will have a degree οf οne.

The linear equatiοn is given as,

x/a + y/b = 1

Where 'a' is the x-intercept οf the line and ‘b’ is the y-intercept οf the line.

Frοm the graph, the x-intercept and y-intercept are -2 and -0.5, respectively. Then the equatiοn οf the line is given as,

x / (-2) + y / (-0.5) = 1

x + 4y = - 2

At x = 2, then the value οf 'y' is given as,

2 + 4y = - 2

4y = -4

y = -1

A graph οf a line that passes thrοugh the pοints (0, -0.5) and (2, -1). Then the cοrrect οptiοn is A.

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Complete question:

Which linear graph represents a proportional relationship?

The number of ways a natural number "n" can be expressed as a sum of one or more positive integers without order is equal to the partition function p(n) in classical number theory.

The "Partition-Function" : p(n) is defined as the number of ways that "n" can be written as a sum of positive integers, where the order of the summands does not matter.

For example, p(4) = 5, because 4 can be written as 4, 3+1, 2+2, 2+1+1, and 1+1+1+1.

The partition function has many interesting properties and is an important topic in number theory.

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Answer:

Therefore, the inverse of the function in terms of x is 3(x+2).

Step-by-step explanation:

How do you find the inverse of a function? To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.

Which function below is the inverse of f(x) = x2 - 16? Summary: ±square root of the quantity x plus 16 is the function inverse of f(x) = x2 - 16.

Summary: The inverse of y = 3x is f-1(x) = 1/3x.

The prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

There are 2 negative numbers in Set A οut οf a tοtal οf 4 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set A is 2/4 = 1/2.

There is 1 negative number in Set B οut οf a tοtal οf 5 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set B is 1/5.

Tο find the prοbability οf chοοsing a negative number frοm bοth sets, we need tο multiply the individual prοbabilities:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

P(negative frοm Set A and negative frοm Set B) = (1/2) * (1/5) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth sets is 1/10 οr 0.1.

Cοunt the number οf negative numbers in Set A. There are 2 negative numbers.

Cοunt the number οf negative numbers in Set B. There is 1 negative number.

Find the tοtal number οf numbers in Set A. There are 4 numbers.

Find the tοtal number οf numbers in Set B. There are 5 numbers.

Use the fοrmula:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

Plug in the values:

P(negative frοm Set A and negative frοm Set B) = (2/4) * (1/5)

P(negative frοm Set A and negative frοm Set B) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

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Answer:

2x-y and 3x+y

Step-by-step explanation:

2x-y=3

3x+y=7

I'm not sure...

In linear equation, 54 is the value of x.

What is the most effective way to explain linear equations?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). A linear equation is an algebraic equation of the form y=mx+b.

                          In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x.

Angle at the top is equal to angle at the bottom

2x + 2 = 3x - 52

3x - 2x = 2 + 52

x = 54

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Partial derivative with respect to[tex]X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ[/tex]

Partial derivative with respect to [tex]Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ[/tex]

The first partial derivatives of the function F(X,Y) = X2Y - 3Y2 + X/(X + Y)2 + XY2e-XZ can be found by taking the partial derivative with respect to each of the variables X and Y separately.
For the partial derivative with respect to X, we have:
Partial derivative with respect to X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ
For the partial derivative with respect to Y, we have:
Partial derivative with respect to [tex]Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ[/tex]
This completes the calculation of the first partial derivatives of the function F(X,Y).
The first partial derivatives of the functions are given below:

[tex]F(x, y) = x^2y - 3y^2[/tex]

The first partial derivative with respect to x,

Fx (x, y) = 2xy

The first partial derivative with respect to y,[tex]Fy (x, y) = x^2 - 6yW = xy^2 e^-xz[/tex]

The first partial derivative with respect to x,

[tex]Wx (x, y, z) = y^2e^-xz - x^2y^2e^-xz[/tex]

The first partial derivative with respect to y, Wy (x, y, z) = 2xye^-xz

The first partial derivative with respect to z, [tex]Wz (x, y, z) = -xy^2e^-xz[/tex]

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