Y=1/2x-1 and it passes through (6, 2) what is the slope and y intercept

Answer:

8 is a solution for the following equations:

x + 6 = 2 (subtracting 6 from both sides gives x = -4)

x - 4 = 4 (adding 4 to both sides gives x = 8)

3x = 24 (dividing both sides by 3 gives x = 8)

StartFraction x Over 8 EndFraction = 1 (multiplying both sides by 8 gives x = 8)

Note that for x+2=10 and x-2=10 and 2x = 4, 8 is not a solution.

According to the given question the length of KL is 18.03 units.

Length is the term used for identifying the size of an object or distance from one point to the other.

The length of KL can be found using the distance formula between two points:

√((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, the length of KL is:

√((-9 - 8)^2 + (5 + 1)^2) = √((-17)^2 + 6^2) = √(289 + 36) = √(325) = 18.03.

Rounded to two decimal places, the length of KL is 18.03 units.

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The possible scales factors of the given dilation transformation are 3/2 and -3/2. Hence, their sum is zero.

A dilation is a transformation that results in an image with the same shape as the original but a different size.

In a dilation transformation, a negative scale factor enlargement will cause the enlargement to appear on the opposite side of the enlargement's center and will be inverted (upside down). The size of the shape will also alter depending on the degree of the enlargement.

The areas are scaled by 9/4

Since, the area of a square is the square of its side, then scale factor is:

Scale factor = ±√(9/4) =  ± 3/2

Hence, the possible values are positive scale factor: 3/2 and negative scale factor = -3/2.

Their sum is: 3/2 + (-3/2) = 0

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Total number of ways for the 8 keys as per the given condition are:

a. Assigned to 2 people : 1024 ways

b. 8 keys to put on 2 different key rings = 12 ways.

a. Total number of keys to be assigned = 8

Number of people keys to be assigned = 2

If each person has at least 1 key

More than one key is assigned to two people that is 2, 3,4,5,6,7

Maximum 7 keys are assigned to one people

Number of ways keys assigned to 2 people

= (2¹× 2⁷) + (2²× 2⁶) + (2³× 2⁵) +(2⁴× 2⁴)

= 2⁸ + 2⁸ + 2⁸ + 2⁸

= 4 ( 2⁸)

= 4 ( 256 )

= 1024ways

b. Number of ways to put 8 keys to put in 2 distinct ring with 4 keys each

= 2 ( 4 - 1 )!

= 2 (3!)

= 12 ways

Therefore, the number of ways to assigned for different conditions are:

a. To 2 people at least one key to each person : 1024 ways.

b. 8 keys to put in 2 rings = 12 ways.

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The given function is continuous for all values of x between 0 to 6.

and the function is discontinuous because it is not defined on -2≤x<0

.

A continuous function in mathematics is a function without discontinuities, or any sudden changes in value. If we can guarantee arbitrarily small changes in the input of a function by limiting small enough changes, then the function is continuous. The function supplied is said to as discontinuous if it is not continuous. In other words, if we can draw the graph of the function around a given point without removing the pen from the plane of the paper, we may say that a function is continuous at that point.

Determine the value of the function -

[tex]f(x)=\sqrt{\frac{6x}{x+2}}[/tex] is continuous or not continuous,

The given function is continuous for all values of x between 0 to 6.

and the function is discontinuous because it is not defined on -2≤x<0.

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Answer:

it is 52.6

Step-by-step explanation:

because that is the very big number

i hope that helps you

Answer:

-2

Step-by-step explanation:

if we sum the 2 equations we will find it the the same equation they want so 3x+10y-x+7y=2-4

2x+17y=-2

I hope I help you in this ans and tq.

The triple integral ∭ef(x,y,z)dv = ∭ [ [tex]\int\limits[/tex] xy dz ] dxdy {D: 0≤x≤2, x≤y≤2 } as an iterated integral for the given function.

In three-dimensional space R3, a point with rectangular coordinates (x, y, z) can be identified with cylindrical coordinates (r,θ,z) and vice versa. We can use these same conversion relationships, adding z as the vertical distance to the point from the x y-plane

As the name implies, triple integrals are 3 successive integrations, used to calculate a volume, or to integrate in a 4th dimension, over 3 other independent dimensions.

In two-dimensional space R2, a point with rectangular coordinates (x, y) can be identified with (r, θ) in polar coordinates and vice versa, where x=rcosθ, y=rsinθ, r²=x²+y² and tanθ=(y.x) are the relationships between the variables.

E is formed by z=0, x=0, y=x, z=4-[tex]y^{2}[/tex]

Assuming the projection of the spatial region E to the xoy plane is D, surface surrounding upper part of E is z(upper) = (x,y)

The surface surrounding lower part of z(down)  = (x,y)

Then,

E : z(down)(x,y) ≤ z ≤ z(upper) (x,y)

Therefore,

The triple integral∭ef(x,y,z)dv = ∭ [ [tex]\int\limits[/tex] xy dz ] dxdy {D: 0≤x≤2, x≤y≤2 } as an iterated integral for the given function.

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Based on the Alternate Interior Angles Theorem, the value of a is 28.

The Alternate Interior Angles Theorem states that when two parallel lines are cut by a transversal, the pairs of angles on the same side of the transversal and inside the parallel lines are congruent.

Therefore,

(a + 28)° = 2a° based on the Alternate Interior Angles Theorem.

Solve to find a:

To find the value of a in this equation we can start isolating it.

(a + 28)° = 2a°

We can subtract a° from both sides:

28° = a°

Thus the value of a is 28.

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The vectors =−6 3 and = 6 6 are not orthogonal because they have different magnitude.

Orthogonal vectors are two vectors that are perpendicular to each other, meaning they form a 90-degree angle.

As we all know that when two vectors have the same magnitude and are orthogonal, they are said to be orthonormal.

To find all numbers and for which the vectors =−6 3 and = 6 6 are orthogonal and have the same magnitude, we first need to find the magnitude of each vector.

For the first vector, =−6 3,

the magnitude is

=> √(−6)² + (3)²

=>  √(36 + 9) = √45

=> 3√5.

For the second vector, = 6 6,

the magnitude is

=> √(6)² + (6)² = √(36 + 36)

=> √72 = 6√2.

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here is your correct answer

The integral of the given function e^(6x).cos(5x) is

6/61e6xcos(5x) + 5/61e^6x.sin(5x)+C , c is the constant.

∫u(x)v′(x)dx=u(x)v(x)−∫u′(x)v(x)dx

We apply the integration by parts twice to solve this problem. We use the integration by parts for the first time:

we choose u(x)=cos(5x), v′(x)=e6x, which gives us u(x)=−5sin(5x),  v(x)=16e6x

We have ∫e6xcos(5x)dx = 16e6xcos(5x) + 56∫e6xsin(5x)dx

Now, we use integration by parts for the second time for the integral on the right-hand side. This time

we choose u(x)=sin(5x),v′(x)=e6x, which gives us u′(x)=5cos(5x), v(x)=16e6x

We have ∫e6xsin(5x)dx=16e6xsin(5x)+56∫e6xcos(5x)dx

Evaluating the integral:

∫e6xcos(5x)dx=16e6xcos(5x)+56∫e6xsin(5x)dx=16e6xcos(5x)+56(16e6xsin(5x)−56∫e6xcos(5x)dx)=16e6xcos(5x)+536e6xsin(5x)−2536∫e6xcos(5x)dx

We solve this equation for ∫e6xcos(5x)dx , and we get:

∫e^6x.cos^(5x).dx = 6/61e6xcos(5x) + 5/61e^6x.sin(5x)+C

where C is the constant of integration.

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The total number of matches played are 6 matches.

The number of matches in a round-robin tournament is given by n(n-1)/2, where n is the number of teams.

In this case, n=4, so the number of matches = 4(4-1)/2 = 6.

The formula n(n-1)/2 is a combinatorial calculation for the number of unique pairings possible among n items.

In the context of a round-robin tournament, n is the number of teams, and each team must play every other team exactly once. This means that each match must involve two unique teams.

The formula n(n-1)/2 calculates the number of unique pairs that can be formed from n items. The numerator (n-1) represents the number of elements available to be paired with the first element, then n-2 for the second element and so on. Dividing by 2 accounts for double-counting the same pairs, as each pair can be counted twice (once for each team in the pair).

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The equation that represents the contribution of Maggie’s sister is x = Total cost - Maggie contribution

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Information about the problem:

Total cost = $54

Maggie contribution = $26

Maggie’s sister contribution = x

The function that models the situation is the following:

x = Total cost - Maggie contribution

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Correctly written question:

Maggie and her sister bought a gift for their mother that cots $54. Maggie contributed $26 to the cost of the gift. Write an addition equation that could be used to find how much money, Maggie’s sister contributed to the gift

Answer:

• 30

• 48

• 5:8

Step-by-step explanation:

Sarah's score if she got 10 questions wrong = 50 - (10×2) = 50 - 20 = 30

Sarah's score if she got one question wrong = 50 - (1×2) = 50 - 2 = 48

Ratio:

Score with 10 QW : Score with 1 QW

30 : 48

(÷6) : (÷6)

5 : 8

Anne should mix 9 cans white paint with 6 cans of blue paint.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Anne wants to paint her house light, so she is mixing 3 cans of white paint to every 2 cans of blue paint.

So, the ratio of white paint to blue paint is 3:2

1) Multiply the ratio by 3, we get 9:6

So, Anne should mix 9 cans white paint with 6 cans of blue paint.

2) Rate = 3/2

= 1.5

Therefore, Anne should mix 9 cans white paint with 6 cans of blue paint.

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According to the question, Alexa's monthly payment will be $448.59.

Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can take many forms, such as cash, check, credit or debit card, money order, bank transfer, or online payment. The most common form of payment is cash, followed by debit and credit cards. Payment also includes more modern forms such as digital currencies, mobile payments, and contactless payments. Payment is an important part of the exchange of goods and services, and it is essential for the functioning of a modern economy.

M = P x r x (1 + r)ⁿ / ((1 + r)ⁿ - 1)

M = 22,000 x 0.063 x (1 + 0.063)⁶ / ((1 + 0.063)⁶ - 1)

M = 22,000 x 0.063 x 1.3958 / 0.7236

M = $448.59

Therefore, Alexa's monthly payment will be $448.59.

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The total cost of the TV would be $690.00 to the nearest cent.

Given that,

The regular price of the TV is $759

So, the regular price of the TV = $759

The store is offering a discount of 15%. To calculate the discount amount, multiply the regular price by the discount rate (15% = 0.15).

So, the offered discount is 15% of $759 = $113.85

Subtract the discount amount from the regular price to get the price after the discount.

Then, the price after the discount is $759 - $113.85 = $645.15

To calculate the sales tax, multiply the price after the discount by the tax rate (7% = 0.07).

Then, the sales tax for the TV is 7% of $645.15 = $45.13

Add the sales tax to the price after discount

Then, total cost: $645.15 + $45.13 = $690.28

It is rounded to the nearest cent: $690.28 = $690.00

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Answer:

a.f (n)=2n

=2×n

=2×5

=10

b.f (n)=2n

=2×n

2×0

=0

When Luke selects combinations of x1 and x2 that, function given his income and the prices of x1 and x2, maximise his utility, his utility is maximised.

A utility function, which gauges the satisfaction he will have from a particular mix of items, can be used to model Luke's decision-making. His utility function, for instance, might be u(x1,x2)=x1 x2, which indicates the satisfaction he will experience from x1 and x2 is the sum of their respective numbers. His income is m, and the prices of x1 and x2 are represented as p1 and p2, respectively. Given Luke's income and the prices of x1 and x2, the x1 and x2 combination that maximises Luke's utility will also maximise the product of x1 and x2. This is so that, given the same income and prices, if one combination of x1 and x2 gives a higher utility than another combination of x1 and x2, Luke will then pick the combo that has the greatest utility. Given his income and the costs of x1 and x2, Luke will therefore go for the x1 and x2 combination that provides him with the greatest utility.

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Answer:

x=0

Step-by-step explanation:

21x-3x=yx(7-1)

18x=6xy

18x=6xy=0

6x(3-y)=0

x=0

The account balance at the end of the month is $62.47

A bank statement is an official summary of financial transactions occurring within a given period for each bank account held by a person or business with a financial institution

The total deposits in the account is

$107.51, $102.07 = $209.58

Total withdrawals in the account is:

−$99.71, -−$17.66, $110.57=$227.94

To get the account balance at the month end:

Add the opening balance with the total deposits and substract the withdrawals from it

($80.83+$209.58) - $227.94

$290.41 - $227.94

=$62.47

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The probability to get an f is 0:2 is 0.666

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

P(C/A) = 0.8

P(C/B) = 0.2

P(C)=0.4

P(A/C)= P(C/A)P(A)/P(C)

= 0.8*P(A)/0.4

P(C)= P(C/A) P(A)+ P(C/AC) (1-P(A)

0.4= 0.8*P(A)+0.2(1-P(A))

0.4 =0.6 P(A)+0.2

0.2/0.6 = P(A)

Hence

P(A/C)=0.8/0.4 *0.2/0.6

=2*2/6

=0.666

The probability to get an f is 0:2 is 0.666

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X = -4,8 are the values of x in quadratic equation .

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                         The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem.

Let X² = X

= x^4 - 4x^2 - 32

= X² - 4X - 32

= X² - (8 - 4 )X - 32

= X² - 8X + 4X - 32

= X( X - 8 ) + 4( X - 8 )

= (X + 4 ) ( X - 8 )

= X = -4 , 8

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If a normal population has a known variance σ² ,  then the value of confidence level for z_(α/2) equal to 2.10 is 96.42% .

The value of z_(α/2) is used to determine the critical value for a two-tailed hypothesis test with a given level of significance(α).

The Critical Value separates the rejection region from the acceptance region in the standard normal distribution.

A Confidence Level is often expressed as (1 - α) , where α is the level of significance.

To find the confidence level that corresponds to z_(α/2) = 2.10, we can solve for 1 - α:

⇒ α/2  = 0.0179 ;

⇒ α = 0.0179 × 2 = 0.0358 ;

⇒ So , 1 - α = 1 - 0.0358 = 0.9642 or 96.42% .

Therefore , the value of Confidence Level is 96.42% .

The given question is incomplete , the complete question is

For a normal population with the known variance σ² ,  What value of confidence level gives z_(α/2) equal to 2.10 ?

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It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.

Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.

Survey sampling involves three steps, which are:

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The length of each side of the square is 4 units. The perimeter of the square is 16 units.

What is the perimeter?

A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Assume that the length of the side of the square is a.

The perimeter of the square is 4a.

The area of the square is a².

Given that the perimeter and the area of the square are the same.

According to the question,

a² = 4a

Solve the above equation:

a² - 4a = 0

a(a-4) = 0

Either a = 0 or, a-4 = 0

a ≠ 0

Therefore, a = 4

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Based on the quadrilateral, the measure of angles a, b, c, and d are as follows;

In Mathematics, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal according to the Linear Pair Postulate:

a + 79° = 180°

a = 180° - 79°

a = 101°

In Geometry, the vertical angles theorem states that two opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other. Therefore, we have the following:

c = 83° (vertically opposite angle).

By applying the co-interior angles theorem, we have the following:

a + b = 180°

101 + b= 180°

b = 180° - 101°

b = 79°

d + c = 180° (co-interior angles)

d + 83° = 180°

d = 180° - 83°

d = 97°

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