Find the equation of the quadratic function f whose graph is shown below
12-1
10
6-
H
-4
1
2
10
12
,
(5, -1)
2.
-4
(4, -4)

Answer:

Step-by-step explanation:

To find P * 1, we need to find all pairs of elements in P that have a difference of 1. Let's start by listing the elements of P:

P = {(1, 2), (2, 5), (3, 8), (4, 11)}

Now, we can find all pairs of elements in P that have a difference of 1:

(1, 2), (2, 5) -> (1, 5)

(2, 5), (3, 8) -> (1, 3)

(3, 8), (4, 11) -> (1, 3)

Therefore, P * 1 = {(1, 5), (1, 3), (1, 3)} = {(1, 5), (1, 3)} (since the last pair is a duplicate).

(b) The given relation is: y = 4x

The elements of this relation are all pairs (x, y) such that y = 4x. For example, (1, 4), (2, 8), (3, 12), etc.

(c) The given relation is: x + y ≥ 20

The elements of this relation are all pairs (x, y) such that x + y is greater than or equal to 20. For example, (1, 19), (2, 18), (3, 17), etc.

(d) The given relation is: y = x

The elements of this relation are all pairs (x, y) such that y = x. For example, (1, 1), (2, 2), (3, 3), etc.

Answer:

17

Step-by-step explanation:

The overlapped ones still went to germany but also went to other places to so...6+4+4+3

Answer:

Not sure

Step-by-step explanation:

Answer:

The distance to Jackie's friend house is 15 miles

Step-by-step explanation:

The given parameters are outlined as follows;

1) The speed with which Jackie's dad drove her to her friends house = 30 mph

2) The speed Jackie's fiend mom drove her back home on the same route = 25 mph

The time it takes Jackie's friend mom to drive her back home = 6 minutes + The time it took Jackie's dad drove her to her friends house

Let the time, in minutes, it took Jackie's dad drove her to her friends house = t

Therefore;

The time it takes Jackie's friend mom to drive her back home = 6 + t

We have that speed = Distance/Time

∴ For Jackie's friend mom, her speed of 25 mph = (The distance of Jackie's friend house)/(6 + t)

Which gives;

The distance of Jackie's friend house = 25 × (6 + t)

Similarly, for Jackie's dad, his speed of 25 mph = (The distance of Jackie's friend house)/t

Which gives;

The distance of Jackie's friend house = 30 × t

By substitution, we have;

The distance of Jackie's friend house = 25 × (6 + t) = 30 × t

By the distributive property, we have;

150 + 25·t = 30·t

150 = 30·t - 25·t = 5·t

150 = 5·t

t = 150/5 = 30 minutes

t = 30 = 0.5 Hours

Using the equation for the distance to Jackie's friend house derived with the speed of motion of Jackie's dad, we have

The distance to Jackie's friend house = 30 × t = 30 mi/h × 0.5 h = 15 mi

The distance to Jackie's friend house = 15 miles

Similarly, from the equation derived from the speed of motion of Jackie's friend mom, we have;

The distance to Jackie's friend house = 25 × (6 + t) = 25 × (6 + 30)

The distance to Jackie's friend house = 25 mph × 36 minutes

The distance to Jackie's friend house = 25 miles per hour × 0.6 hours = 15 miles

The distance to Jackie's friend house = 15 miles.

Answer:

15

Step-by-step explanation:

The key metric to be improved in a project can vary depending on the nature and objectives of the project. However, in the context of the equation y = f(x), the key metric would typically be represented by the variable "y."

The specific definition of "y" will depend on the project and its goals. It could represent a wide range of factors, such as cost savings, customer satisfaction, productivity, revenue growth, quality improvement, or any other relevant performance indicator that the project aims to enhance.

When creating a project charter, it is essential to clearly define and specify the key metric (i.e., "y") that will be targeted for improvement throughout the project's duration. This helps align the project team's efforts and provides a clear focus on the desired outcome.

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Answer: x₁=3     x₂=-2.

Step-by-step explanation:

\(2x^2-2x-12=0\\2*x^2-2*x-2*6=0\\2*(x^2-x-6)=0\\Divide\ both\ sides\ of\ the\ equation\ by \ 2:\\x^2-x-6=0\\x^2-x-2x+2x-6=0\\x^2-3x+2x-6=0\\x*(x-3)+2*(x-3)=0\\(x-3)*(x+2)=0\\x-3=0\\x_1=3.\\x+2=0\\x_2=-2.\)

The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".

To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:

Probability of having at least a high school education = 1 - Probability of not having at least a high school education.

By using this rule, we can calculate the probability.

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Answer:

cross and multiply

48y=4

divide both sides by48

y=1/12

To construct a square inscribed in a circle, we need to have two lines that will be used as diagonals of the square we want to draw.

In this case, in the diagram, we already have one line, that is the . The other line we need has to form an angle of 90° with the line BC as shown in the following diagram:

This red line is a perpendicular bisector to diameter BC and is the next step to draw the square. It is called a bisector because it divides BC into two equal angles of 90°.

Answer:

Construct the perpendicular bisector to diameter BC

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer:

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d) \(\frac{n - 3}{4}\)

Step-by-step explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

- 3 less than n

less than usually means subtraction

than divided by 4

\(\rule{200}{2}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

            write algebraic expressions to represent the following:

a) the sum of x and y b) the product of m and 7

c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

First, "the sum of" indicates that we add.

Since we're asked to find the sum of x and y, we need to add them:-

Now, the "product of" indicates that we multiply.

So we multiply m times 7, which can be written as follows:-

If we have 3 movie tickets, and each of them costs m dollars, then in order to find the cost of all 3 movie tickets, we need to find the product of the total number of tickets times the cost of one ticket:-

So we multiply 3 times m, or

Now, "3 less than n" indicates that we subtract 3 from n; this expression is divided by 4, or:-

         \(\rule{200}{1}\)

Answer:

Step-by-step explanation:

y = -x + 6

y - 8 = -(x + 4)

y - 8 = -x - 4

y = -x + 4

The angle of the elevation comes to be 41.94 degrees.

The angle of elevation is the angle that is to be formed between the horizontal line and the given line of sight. If the line of sight is upward from the given horizontal line, then the angle formed is an angle of the elevation.

The most crucial area of mathematics is trigonometry. Combining the Greek "Trigonon" and "Metron," which respectively mean "triangle" and "measure," creates the word "trigonometry." It is the examination of the relationship between a right-angled triangle's sides and angles. By employing formulas and identities based on this relationship, it is thus possible to determine the measure of a right-angled triangle's unknown dimensions.

As in the case of right angled Triangle

From Trigonometry,

tan (α) =  \(\frac{124}{138}\)

α = arctan(  \(\frac{124}{138}\) )

α = 41.94 degrees

and in radians = 0.732

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Answer:I think it’s C

Step-by-step explanation:

The best describes the domain of the function is All the whole numbers greater than or equal to 0 and less than or equal to 7

A collection of facts, such as numbers, words, measurements, observations.

Discrete data is counted and can only take certain values - like whole numbers

e.g. the number of cars passing by a school.

Shoe size is an example of discrete data as size 6 and 7

have a meaning however size 6.2 does not.

Given:

A college student recorded his progress for a reading assignment at the end of each day for 7 days.

As, from the graph

domain = { x| 0, 1, 2, 3, 4, 5, 6, 7}

Them we can say that the domain is all the whole numbers greater than or equal to 0 and less than or equal to 7

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Mike's ending cash balance of the cash flow statement for his first year of operation is $95,400.

Cash flow is defined as the report which shows the total inflow and outflow of the business for a particular financial period.

Given

Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation.

He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost.

Total cash inflow = $4,800 + $103,000 = $107,800

Total cash outflow = $3,500 + $2,600 + $5,500 = $11,600

Then the cash flow will be

\(\rm Cash\ flow = \$ 107,000 - 11,600\\\\Cash\ flow = \$ 95,400\)

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Answer:

the answer is 18

Step-by-step explanation:

7+9÷3+2x4= 18

Answer:

218

Step-by-step explanation:

Answer:

218

Step-by-step explanation:

The statement that best describes the composition of most foods is: "They contain mixtures of the three energy nutrients, although only one or two may predominate."

Most foods contain mixtures of the three energy nutrients, namely carbohydrates, proteins, and fats. However, the relative proportions of these nutrients can vary significantly from one food to another. In some foods, one or two of these nutrients may predominate, while others may contain relatively equal amounts of all three.

Carbohydrates are a primary source of energy for the body and can be found in various forms such as sugars, starches, and fibers. Foods like grains (e.g., rice, wheat, oats), fruits, vegetables, and legumes tend to be rich in carbohydrates. However, the specific types and amounts of carbohydrates can vary widely.

Proteins are crucial for building and repairing tissues, as well as for various metabolic functions. Foods like meat, poultry, fish, eggs, dairy products, legumes, nuts, and seeds are excellent sources of protein. Again, the protein content in different foods can vary.

Fats, also known as lipids, are an important energy source and provide essential fatty acids. Foods such as oils, butter, avocados, nuts, and fatty meats are high in fats. Like carbohydrates and proteins, the fat content in foods can differ significantly.

It's worth noting that some foods may predominantly consist of one specific nutrient. For example, pure sugar is almost entirely composed of carbohydrates, while pure oil is almost entirely composed of fats. However, most whole foods, such as fruits, vegetables, grains, meats, and dairy products, contain a mixture of these energy nutrients.

Furthermore, a balanced diet typically includes a combination of these nutrients in appropriate proportions. A varied diet that incorporates a range of foods from different food groups helps ensure an adequate intake of carbohydrates, proteins, and fats, along with other essential nutrients required for optimal health.

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No, this procedure does not result in a binomial distribution because the outcome of each roll is not a success or failure, but rather a specific number from 1 to 6.

In a binomial distribution, there are only two possible outcomes (usually denoted as success or failure) for each trial.
Based on the information provided, the given procedure does not result in a binomial distribution. A binomial distribution has specific requirements, which are:
1. Fixed number of trials (n).
2. Only two possible outcomes (success or failure) in each trial.
3. The probability of success (p) remains constant in each trial.
4. Trials are independent of each other.
In the given procedure, while there is a fixed number of trials (26), there are six possible outcomes (1, 2, 3, 4, 5, and 6) instead of only two. This violates the second requirement of a binomial distribution.

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The correct order does these stages occur is 4, 3, 2, 1, 3.

A recession is a point at which the economy decreases fundamentally for no less than a half year.

In the correct order does these stages occur.

Hence, the correct order does these stages occur is 4, 3, 2, 1, 3.

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Answer:

40/3

Step-by-step explanation:

4x -20 = 10x -100 (Distributive Property)

4x -10x = -100 +20 (I swith the numbers so all of them are similar)

-6x= -80 (Divide -6 on both sides)

And you will get 40/3 or 13.3333..

Answer:

x = 40/3

Step-by-step explanation:

4(x-5)=10(x-10)

=> 4x - 20 = 10x - 100

=> 4x - 10x = - 100 + 20

=> -6x = -80

=> x = 80/6

=> x = 40/3

New function that is a horizontal stretch of F(x)=\((x+2)^{3} + 5\) is F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=\((x+2)^{3} + 5\)

F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)ch visit :
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Answer:

The distance between C and D is 4.2768 inches.

Step-by-step explanation:

As from A to B the distance is 5.625 inches and actual is 1688 miles

so,

1 mile = 5.625/1688 = 0.0033 inches

So, the distance between C and D is 1296 miles

= 1296 x 0.0033 inches = 4.2768 inches  

Step-by-step explanation:

Line AB has a Slope of -20/5 or -4. Since the line that is being calculated is parallel it has the same slope. We can plug this Slope and the given point of the line into the point Slope equation for an equation of y - 3 = -4 (x + 1).

Answer:

Unit rate=850

Step-by-step explanation:

673.5/0.75=850

1/4x850= 212.5

1.5x850= 1275

2.5x850= 2125

5.5x850= 4675

Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

Step-by-step explanation:

The general solution of the differential equation can be found as follows:

dQ/dx = k/x^2

Integrating both sides, we get:

Q = k * ln|x| + C

where C is the constant of integration.

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

4 pt = 8 cups

28 qt = 7 gallons

Step-by-step explanation:

We know, from your chart, that 1 p = 2 c

4 p is four times 1 p

so, to scale up 1 pint to 4 pints, we multiply by 4

to figure out what the corresponding number of cups would be, we also have to multiply that value by 4

if                1 p    =    2 c

then          4 p    =    8 c

               (1 x 4)      (2 x 4)

8 cups

--------

If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)

28 / 4 = 7

7 gallons