Solve for y
2y + 6 = 1 - 3y

Answer:

y = -2  when x = 0

Step-by-step explanation:

We are given points on the line such as ( 2, 2) and (6, 10) so we can find the equation of the line then find point (x=0, y=?).

General equation of the line is y = mx +b, where m is the slope and

b is y-intercept (where the line crosses the y-axis)

The slope m = (y2-y1)/ (x2-x1) = (10-2)/(6-2) = 8/4 = 2

Now the equation is y = 2x +b

To find b we substitute any of the points that are on the line, for example

(x=2, y=2) in the equation 2=2*2+b; 2-4 =b; -2 = b

The equation is y=2x -2

If x= 0 then y=2*0 -2; y = -2

Answer: a

Step-by-step explanation:

Tell me if it is correct

After w weeks, the expression for the total cost of games is 250 + 4000w.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1.

As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

Linear expressions are what the two expressions are. One variable raised to the power of one makes up a linear expression.

250 + 1000g.

Where: g(w) = 4w.

250 + 1000(4w).

250 + 4000w.

Therefore, number of games produced in w weeks is 250 + 4000w.

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Answer:

11.8

Step-by-step explanation:

Rounding 59.03 you get 59.
20% of 59 = 11.8
11.8 = the tip.

Answer:

7.89 x 10<superscript=10>

Step-by-step explanation:

Answer:

x=186.68

y=140

z=233.34

Step-by-step explanation:

easy method to solve since you have the answers to pick from

first triangle. we have two sides 175 and 105 and we know that 175 have to be the largest number, its the hypotenuse. which means

y=140,

cannot be 233 or 186 because both greater than 175

now next triangle. x-y-z, we already know "y" and "z" needs to be the largest number so it has to be

z= 233.34 and finally

x=186. 67

Y = 2.9

Or

X= 2.9, y= - 0.9

Hope this helps!

Answer:

Step-by-step explanation:129412515968569028414 m

In mathematical modeling, some values are considered fixed and cannot vary without consequence. These values are often referred to as constants or parameters, and they represent physical or environmental properties that are assumed to be constant throughout the problem.

For example, in a mathematical model of the motion of a pendulum, the length of the pendulum, the mass of the weight, and the force of gravity are typically considered constants that cannot vary without consequence. If any of these values were to change, the motion of the pendulum would be affected, and the solution to the problem would be different.

Similarly, in a mathematical model of heat transfer, the thermal conductivity of the material, the heat source or sink, and the boundary conditions are typically considered constants that cannot vary without consequence. If any of these values were to change, the temperature distribution and heat transfer rate within the system would be affected, and the solution to the problem would be different.

The choice of which values to consider as constants or parameters depends on the specific problem being modeled and the assumptions made.

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Answer:

AB = 6 units

Step-by-step explanation:

Given A(8, 3 ) and B(2, 3 )

Since the y- coordinates in both points are 3 then this is a horizontal line.

The length of AB is then the difference of the x- coordinates, that is

AB = 8 - 2 = 6 units

Answer: if you need me to combine, its x6+y3. if not, say please

Step-by-step explanation:

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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Answer:

x² + y² = 81

Step-by-step explanation:

Standard form for the equation of a circle:  (x - h)² + (y - k)² = r²

(where (h, k) is the center and r is the radius)

Given:

⇒ (x - 0)² + (y - 0)² = 9²

⇒ x² + y² = 81

Answer:

steps below

Step-by-step explanation:

It's easier to prove from right side to left side. If you insist to prove from left to right, you can just reverse the calculation from bottom to the top.

\(cot^{2} a * cos^{2}a \\= cot^{2} a * (1-sin^{2} a)\\= cot^{2} a - cot^{2} a*sin^{2} a\\= cot^{2} a - \frac{cos^{2} a}{sin^{2}a} *sin^{2} a\\= cot^{2} a - cos^{2} a\)

Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

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Step-by-step explanation:

the ONLY roll that is two or less when rolling 2 dice is   1 - 1

 out of 36 possible rolls

     so 35 are greater than two     or     35/36

The inequalities that represent constraints for the situation will be:

x+y ≤ 12

x >= 3

y >= 6

Let x represent the loaves of bread

Let y represent the number of eggs.

From the information, Each egg costs $0.20 and each loaf of needs at least 6 eggs and 3 loaves of bread.

Therefore,

x >= 3

>= 3y >= 6

Also, Dwayne can spend no more than $12 at the grocery store buying loaves of bread and eggs. This will be x+y ≤ 12.

The correct options are C, D, and F.

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Suction

ule hash

x(u,v) = u Y(UN) = =-4V

Therefore

DT (u,v) = av วง DT (UN) = [ㅎ]

Thus,

J (u,v) = det DT (u,v) = |: 1

J(u,v) = -4

here is response J(u,v) = -4

Common synonyms for response include response, rejoinder, rejoinder, and rejoinder. All of these words mean ``speak, write, or something in return,'' but the response may mean a quick or spontaneous response to someone or something that acts as a stimulus.

text A reply is a writing style that expresses your reaction to something. It's your chance to let the world know you're thinking about something. Text response is also called reader response, which is correct, but is sometimes confused with read-and-write narrative.

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The completed table represents the values of the missing entries for the given equation y = x² - 4x + 4.

To determine the values of the missing entries and complete the table, we need to substitute the given values of x into the equation y = x² - 4x + 4 and evaluate the corresponding y-values. Let's start:

For x = 0:

y = (0)² - 4(0) + 4

y = 0 - 0 + 4

y = 4

So, the ordered pair is (0, 4).

For x = 1:

y = (1)² - 4(1) + 4

y = 1 - 4 + 4

y = 1

So, the ordered pair is (1, 1).

For x = 2:

y = (2)² - 4(2) + 4

y = 4 - 8 + 4

y = 0

So, the ordered pair is (2, 0).

For x = 3:

y = (3)² - 4(3) + 4

y = 9 - 12 + 4

y = 1

So, the ordered pair is (3, 1).

For x = 4:

y = (4)² - 4(4) + 4

y = 16 - 16 + 4

y = 4

So, the ordered pair is (4, 4).

Completing the table:

x y

0 4

1 1

2 0

3 1

4 4

Therefore, the completed table represents the values of the missing entries for the given equation y = x² - 4x + 4.

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A. The total differential of the utility function U(X,Y) = X^αY^β is dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.

B. The total differential of the utility function U(X, Y) = X^2 + Y^3 + XY is dU = (2X + Y) dX + (3Y^2 + X) dY.

A. The total differential of a function represents the small change in the function caused by infinitesimally small changes in its variables. In this case, we are given the utility function U(X, Y) = X^αY^β, where α and β are constants.

To find the total differential, we differentiate the utility function partially with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.

For the partial derivative with respect to X, we treat Y as a constant and differentiate X^α with respect to X, which gives αX^(α-1). We then multiply it by the differential dX.

Similarly, for the partial derivative with respect to Y, we treat X as a constant and differentiate Y^β with respect to Y, resulting in βY^(β-1). We then multiply it by the differential dY.

Adding these two terms together, we obtain the total differential of the utility function:

dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.

This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).

B. To find the total differential of the utility function U(X, Y) = X^2 + Y^3 + XY, we differentiate each term of the function with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.

For the first term, X^2, we differentiate it with respect to X, resulting in 2X, which is then multiplied by dX. For the second term, Y^3, we differentiate it with respect to Y, resulting in 3Y^2, which is multiplied by dY. Finally, for the third term, XY, we differentiate it with respect to X and Y separately, resulting in X (multiplied by dY) and Y (multiplied by dX).

Adding these three terms together, we obtain the total differential of the utility function:

dU = (2X + Y) dX + (3Y^2 + X) dY.

This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).

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The index variable for the element at the last row and last column in the array x is B. x[4][6].

In Java, arrays are zero-indexed, which means the first element of an array is at index 0. The given array x is a 2D boolean array with dimensions 5x7 (5 rows and 7 columns). To access the last row and last column, we need to subtract 1 from each dimension:

- For the last row, the index is 5 - 1 = 4.
- For the last column, the index is 7 - 1 = 6.

So, the correct index variable to access the last row and last column is x[4][6]. The other options provided are incorrect as they do not accurately represent the index of the last element:

- a. x[4][5] refers to the second to last element in the last row.
- c. x[5][6] would be out of bounds, as the maximum row index is 4.
- d. x[5][7] would also be out of bounds, as both the row and column indices are too large.

Therefore, the correct option is B.

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Answer:

20/27

Step-by-step explanation:

Solution :

Given

\($W_1$\) = weight of the first side

    = 6 kg = 6000 g

\($D_1$\) =  distance of the first weight from the triangle.

     = 3 m = 300 cm

\($D_2$\) = distance of the first weight from the triangle.

    =  600 cm

Let, \($W_2$\) = weight of the second side

So,  \($W_1$\) x \($D_1$\)  = \($W_2$\) x \($D_2$\)

or  \($W_2=\frac{W_1 \times D_1}{D_2}$\)

  \($W_2=\frac{6000\times 300}{600}$\)

        = 3000 g

Therefore, the quantity that is used to replace the question mark in order to make the scale balance is 3000 g.

Answer:

it is 2/6 because there are 6 sides and two numbers that you need to get.

Answer:

The answer is 1/4

Step-by-step explanation: it was on the quiz

The original price of the bracelet, before tax $0.68

From the question, we have the following parameters that can be used in our computation:

Amount = $0.72

Sales tax = 6%

Using the above as a guide, we have the following:

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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Answer:

n=-6

Step-by-step explanation:

8n-7=-5(-3n-7)

Multiply -5 to -3n and -7

8n-7= 15n+35

Bring 8n to the other side by subracting it from 15n

-7=7n+35

Subtract 35 from both sides

-42=7n

Divide both sides by 7

n=-6

The rectangular equation is y = x² - 8.

Given;

The rectangular equation to sketch the plane curve represented by the given parametric equations,

x = √3t

y = 3t - 8              -∞ < t < ∞

Now,

3t = x²

t = x²/3

Now,

y = x² - 8

Therefore, the rectangular equation is y = x² - 8

Where, x ≥ 0

And the graph is a curve as shown below,

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