2x+y=18 and y=4x+6 using substitioiuntion

Answer:

35 square units

Step-by-step explanation:

Area of the parallelogram = 7*5 = 35 square units

Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer:

b

Step-by-step explanation: you take your number of tickets purchased and put it next to the total number of tickets sold and you have your answer

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Answer:

(6y+1)(6y-1)

Step-by-step explanation:

To do this question you must know what Difference of Two Squares is.

The Difference of Two Squares is two terms that are squared and separated by a subtraction sign.

You can simplify them like this below

a²- b² = (a+b)(a-b)

36y²-1

36y² can become 6y×6y.

1 can become 1×1.

So, plugging it into the formula above, you will get

(6y+1)(6y-1)

To disprove the null hypothesis a researcher must develop a number that demonstrates the existence of a difference between two variables. this is called the alternative hypothesis.

Null hypothesis and Alternative hypothesis are two basic types of hypothesis that express the criteria of a research problem as a relationship between two or more variables.

Null hypothesis refers to the hypothesis which clarifies that there is no relationship between two variables.

An alternative hypothesis is the inverse of the null hypothesis which tells that there is a relationship between two variables.

Hence, demonstrating that there exist a difference between two variables is an alternative hypothesis.

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The linear relationship between time and distance can be considered proportional. The constant of proportionality in this case is 4.

In a proportional relationship, the ratio between the two quantities remains constant. Here, as time increases by 2 hours, the distance also increases by 8 miles. Let's calculate the ratio of distance to time for each pair of values:

For the first pair (2 hours, 8 miles):

Ratio = distance / time = 8 miles / 2 hours = 4 miles/hour

For the second pair (4 hours, 16 miles):

Ratio = distance / time = 16 miles / 4 hours = 4 miles/hour

For the third pair (6 hours, 24 miles):

Ratio = distance / time = 24 miles / 6 hours = 4 miles/hour

For the fourth pair (8 hours, 32 miles):

Ratio = distance / time = 32 miles / 8 hours = 4 miles/hour

As we can see, the ratio of distance to time remains constant at 4 miles per hour for all the pairs. This indicates a proportional relationship between time and distance.

Therefore, the linear relationship is also proportional, and the constant of proportionality is 4.

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Hi, I believe the answer you are looking for is:

S' (-1, -5)

T' (-2, 0)

V' (0, 0)

Have a great day :D

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

   /4        /4

x - 7 = 25

   +7     +7

x = 32

Answer:

2 hours and 30 minutes.

Step-by-step explanation:

First you must add $50 and $75. Then add two $75, to get $200. Then, Multiply $1.25 by 30.

Hope this helps :)

(If it did please make this brainliest.)

You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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Answer:

sin-1(-1/2), 180 + sin-1(-1/2), 360 + sin-1(-1/2)

To find the point on the curve where the normal plane is parallel to the plane 6x - 12y - 8z = 5, we need to consider the direction vector of the curve and the normal vector of the given plane.

The direction vector of the curve can be found by taking the derivatives of the parametric equations:

r'(t) = (3t^2, 6, 4t^3)

Next, we determine the normal vector of the given plane by examining its coefficients:

Normal vector of the plane: (6, -12, -8)

For the normal plane to be parallel to the given plane, the direction vector of the curve must be orthogonal (perpendicular) to the normal vector of the plane. This means their dot product should be zero:

r'(t) · (6, -12, -8) = 0

Expanding the dot product equation:

(3t^2, 6, 4t^3) · (6, -12, -8) = 0

Simplifying the equation:

18t^2 - 72 - 32t^3 = 0

Now, we can solve this equation to find the values of t that satisfy the condition.

Unfortunately, this equation is a cubic equation and cannot be easily solved algebraically. To find the specific values of t that make the normal plane parallel to the given plane, numerical methods or approximation techniques would be required.

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To determine the point on the curve x = t^3, y = 6t, z = t^4 where the normal plane is parallel to the plane 6x - 12y - 8z = 5, we need to find the point that satisfies both the curve equation and the condition for parallel normal planes.

First, we find the normal vector of the plane 6x - 12y - 8z = 5, which is (6, -12, -8). Next, we find the derivative of the curve equations with respect to t to obtain the tangent vector of the curve:

r'(t) = (3t^2, 6, 4t^3)

The tangent vector represents the direction of the curve at any given point. For the normal plane to be parallel to the given plane, the tangent vector and the normal vector must be orthogonal (their dot product is zero). So we have:

(3t^2, 6, 4t^3) dot (6, -12, -8) = 0

Simplifying this equation, we get:

18t^2 - 72t^3 + 32t^4 = 0

Solving this equation, we find two values for t: t = 0 and t = 9/32.

Substituting t = 0 into the curve equations, we get the point (0, 0, 0).

Substituting t = 9/32 into the curve equations, we get the point (27/32, 27/2, 81/1024).

Therefore, the points on the curve x = t^3, y = 6t, z = t^4 where the normal plane is parallel to the plane 6x - 12y - 8z = 5 are (0, 0, 0) and (27/32, 27/2, 81/1024).

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Answer:

No, it would not make sense

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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18(X-3xy+2y)

Step-by-step explanation:

hope it helps just take 18 common mark me as the brainliest

Answer:

12, 15, 18

Step-by-step explanation:

4x+5x+6x=45

15x=45

x=3

4x=12, 5x=15, 6x= 18

If two lines form congruent adjacent angles, it indicates that the lines are perpendicular to each other.

This is known as the Perpendicular Adjacent Angles Theorem. According to this theorem, if two lines intersect and the adjacent angles formed by the intersection are congruent, then the lines are perpendicular to each other.

Congruent adjacent angles are angles that have the same measure and share a common vertex and a common side. When two lines intersect to form congruent adjacent angles, it implies that the lines are forming a right angle at their point of intersection. Thus, the lines are perpendicular to each other.

In summary, if two lines form congruent adjacent angles, it indicates that the lines are perpendicular.

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Answer:

-48 would be the answer

Step-by-step explanation:

product means result of multiplication, so the product of 9x-5=-45 and when it says 3 less than, it means subtraction so we would subtract 3 from -45 which is -48.

Therefore , the solution of the given problem of function comes out to be it is compatible with P(J(y)) = 1/3J(y) +4.

Math is a science that studies numbers, their variants, math and the tissues in the area, shapes, and both their real and possible locations. 'Function' refers to the relationship between a set of inputs, which each have a corresponding output. A function is a relationship between inputs in which each input yields a single variable, distinct output.

Here,

Given:

The quantity of paintings is returned by the function P, which accepts a number of months as an argument.

The function J returns the number of weeks in a year after accepting an undefined parameter.

P(weeks annually) = P(J(y)) seems to be the composites function that will provide the annual number of paintings.

Choice C is compatible with P(J(y)) = 1/3J(y) +4.

Therefore , the solution of the given problem of function comes out to be it is compatible with P(J(y)) = 1/3J(y) +4.

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Answer:

C. Either positive or negative

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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The system of Roman numerals is based on using special symbols to denote decimal digits I=1, X=10, C=100, M=1000, and their halves V=5, L=50, D=500. Positive integers are written by repeating these numerals.

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The number line which shows the solution set to the given inequality is: number line B.

A number line can be defined as a type of graph with a graduated straight line which comprises numerical values (both positive and negative numbers) that are placed at equal intervals along its length.

Now, we would solve the given inequality:

½(20x + 6) ≥ x + 30

10x + 3 ≥ x + 30

10x - x ≥ 30 - 3

9x ≥ 27

x ≥ 3.

Therefore, the number line which shows the solution set to the given inequality is a number line with 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the right, with an arrow at the end.

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Complete Question:

Which number line shows the solution set to this inequality? ½(20x + 6) ≥ x + 30

Answer:

108 degrees

Step-by-step explanation:

pie equals 180 degrees

Creating a system of equations, the cost of a notebook (n) will be: $1.25

n = note books.

b = binders.

Create a system of equation and solve for the variables.

Equation for school supplies bought by Bartholomew:

Equation for school supplies bought by Maurice:

40n + 48b = 251.6 --> Eqn. 1

24n + 48b = 231.6 --> Eqn. 2

16n = 20

n = 1.25

Therefore, creating a system of equations, the cost of a notebook (n) will be: $1.25

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Answer:

102

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