Need help with this question please

We have to solve this equation by completing the square.

We have two terms from the quadratic equation: x² + 14x, so we can add the third term as:

We add the same term to both sides of the equation to preserve the equality.

We now can continue solving the equation as:

This equation does not have solutions for x for the set of real values, as we have a square root of a negative number.

We can express the solution as complex numbers as:

Answer: the solutions for the equation are x = -7 - 2(√5)i and x = -7 + 2(√5)i.

Answer:

r12 it has to be

Step-by-step explanation:

must be 12

Answer:

First, we add 3.6 from Monday to 4.705 from Tuesday. To do this, we align the decimal point, and add like how we always do, then bring down the decimal point. This will give us the number 8.305. Then, we repeat that process except with the total distance from Monday and Tuesday (8.305) and the 5.92 from Wednesday, which will give us 10.625. Therefore, the total distance from the three days is 10.625 km.

Step-by-step explanation:

The question is asking to explain how to add them together. So, just explain how to add the decimals together, and explain the process, and the total.

Hope this helps!

The descriptions of the transformations are:

The function is given as:

f(x) = -2|x + 6|

The above function is an absolute value function, and an absolute value function is represented as:

f(x) = a|x - h| + k

Where

Vertex = (h, k)

Scale factor = a

So, we have:

a = -2

(h, k) = (-6, 0)

There is no restriction to the input values.

So, the domain is the set of all real numbers

The y value in (h, k) = (-6, 0) is 0

i.e.

y = 0

Because the factor is negative (-2), then the vertex is a minimum

So, the range is all set of real numbers greater than or equal to 0

Hence, the descriptions of the transformations are:

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Answer:

there are 24 total possible outcomes.

Step-by-step explanation:

There are 4 choices for the first question, 3 choices for the second question, and 2 choices for the third question, since each question eliminates one option from the previous question. Therefore, by the Fundamental Counting Principle, the total number of possible outcomes is 4 x 3 x 2 = 24.

Answer: a) Let Q be an orthogonal matrix and let λ be an eigenvalue of Q. Then there exists a non-zero vector v such that Qv = λv. Taking the conjugate transpose of both sides, we have:

(Qv)^T = (λv)^T

v^TQ^T = λv^T

Since Q is orthogonal, we have Q^TQ = I, so Q^T = Q^(-1). Substituting this into the above equation, we get:

v^TQ^(-1)Q = λv^T

v^T = λv^T

Taking the norm of both sides, we have:

|v|^2 = |λ|^2|v|^2

Since v is non-zero, we can cancel the |v|^2 term and we get:

|λ|^2 = 1

Taking the square root of both sides, we get |λ| = 1.

b) Let Q1 and Q2 be orthogonal matrices. Then we have:

(Q1Q2)^T(Q1Q2) = Q2^TQ1^TQ1Q2 = Q2^TQ2 = I

where we have used the fact that Q1^TQ1 = I and Q2^TQ2 = I since Q1 and Q2 are orthogonal matrices. Therefore, Q1Q2 is an orthogonal matrix.

The first 20 multiples of 27 are as follows:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.

A multiple in mathematics is created by multiplying any number by an integer.

In other words, if b = na for some integer n, known as the multiplier, it can be said that b is a multiple of a given two numbers, a and b.

This is equivalent to stating that b/a is an integer if an is not zero.

A is known as a divisor of b when a and b are both integers and b is a multiple of a.

First 20 multiples of 27:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.

Therefore, the first 20 multiples of 27 are as follows:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.

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Correct question:

What are the first 20 multiples of 27?

Answer:

An angle whose measure is equal to 90° is called a right angle. A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

Answer:

quizlet .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2/3

Total of 6 Marbles

2+2=4

Fraction is 4/6

Simplified 2/3

Really simple

Answer:

up and down

oiguddyzyhc uvkikvcuydtx I u guys and all that you can g

Answer:

y+5=-3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-(-5))/(-3-2)

m=(10+5)/-5

m=15/-5

m=-3

y-y1=m(x-x1)

y-(-5)=-3(x-2)

y+5=-3(x-2)

The ideal way to organize electronically the raw data for a study is to create a structured database or spreadsheet that can easily and efficiently store, sort, and analyze the data.

This will allow for easy retrieval and manipulation of the data, as well as the ability to perform statistical analysis and generate reports. It is important to ensure that the data is accurately recorded and labeled to prevent errors and ensure consistency. Additionally, proper data security measures should be in place to protect the confidentiality and integrity of the data.

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The ideal way to organize electronically the raw data for a study is to use a standardized format, such as a spreadsheet or database, with clear and consistent labeling for each variable.

It is important to ensure that the data is accurate, complete, and easily accessible, and to maintain appropriate security and privacy measures to protect the confidentiality of study participants. Additionally, it is recommended to create a data management plan outlining the procedures for data collection, storage, and sharing throughout the study. This plan should be reviewed and updated regularly to ensure that it remains effective and compliant with relevant regulations and ethical standards. The ideal way to organize electronically the raw data for a study is to use a structured and systematic approach, such as creating a well-designed database or spreadsheet. This allows for efficient data management, easy access, and accurate analysis.

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Let be "r" Ryan's age and "p" Peter's age.

According to the information given in the exercise, Ryan is nine years younger than two times his friend Peter's age.

Then, since "two times" indicates multiplication by 2 and "nine years younger" indicates a Subtraction, you can set up the following equation:

You also know that the sum of their ages is greater than six. Then, to represent this you have to use an inequality:

The symbol ">" means "Greater than".

Therefore, the procedure to determine the youngest age Peter can be is to substitute the first equation into the inequality and solve for "p"

Then, Peter is (at least) 6 years old.

Therefore, the answer is: The youngest age Peter can be is 6 years old.

The angle in the capital letter "L" measures 90°, making it a right angle.

A right angle is one that is exactly 90 degrees, or half of a straight angle. There is usually a quarter turn in it. The fundamental geometric forms, rectangle, and square, each have four angles that measure 90 degrees.

When two lines cross, and there is a 90-degree angle between them, the lines are said to be perpendicular. A few examples of 90-degree angles in real life include the angle between the hands of a clock at 3 o'clock, the angles between two neighboring sides of a rectangular door or window, etc.

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Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

Finding the Inverse of a Polynomial Function by Restricting the Domain

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Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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The simplest form of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Both given expressions are not equivalent.

What is an expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given expression is 3x + 14 – x + \(1\frac{1}{2}\)

Now combine like terms:

= (3x - x) + (14 + \(1\frac{1}{2}\))

= 2x +  (14 + \(1\frac{1}{2}\))

Convert mixed fraction to improper fraction:

= 2x +  (14 + 3/2)

= 2x + 31/2

= 2x + \(15\frac{1}{2}\)

The equivalent expression of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Therefore, 3x + 14 – x + \(1\frac{1}{2}\) is not equivalent to 4x + \(1\frac{3}{4}\).

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The relationship between dollars delivered and rand received represents a function.

Corresponds to a mathematical relationship between two variables, x and y, where the set of x values ​​is associated with a y value. Being expressed by the formula:

Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.

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The cost is minimized for 100 bicycles, and the minimum cost is $11,500.

The cost equation is a quadratic equation:

C(x) = 3x² - 600*x + 41,500

This is a quadratic equation of a positive leading coefficient, which means that the parabola opens upwards. So the minimum is at the vertex.

Remember that for a quadratic:

y = a*x² + b*x + c

The vertex is at:

x = -b/2a

Then in this case the vertex is at:

x = -(-600)/2*3 = 600/6 = 100

So for 100 bicycles, the cost is minimum, to find the minimum cost we need to evaluate in x = 100.

C(100) = 3*100² - 600*100 + 41,500 = 11,500

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Answer:

76124

Step-by-step explanation:

CORRECT 100%

The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.

The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.

The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:

cos(β) = sqrt(2)/2

cos(β) = sqrt(2)/2

We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.

So, β = π/4 or β = 45 degrees.

In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

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Answer:

Price of each ticket = $70

Step-by-step explanation:

The revenue generated from sales of 10 tickets = 70 x 10 = $700

After selling the 10 tickets, organization was still at loss of $800. This means total product cost of tickets = $800 + $700 = $ 1500

Net Profit = Revenue - Cost

Revenue from n tickets will be = 70n

Cost = $1500

So, net profit as a function of number of tickets sold = P(n) = 70n - 1500

Answer:

24.28%

Step-by-step explanation

percent saved(p)/100 (net income)(weeks needed) = (total needed)

p/100 ($123.56)(9) = $270

p/100 (1112.04) = $270

1112.04p/100 = $270

p = 24.279%

p = 24.28%