consider the following table: x -2, -1, 0, 1, 2 y: 7, 4, 3, 4, 7. Does the table represent a function? why or why not?

A: The table represents a function because each element in the range is associated with exactly one element in the domain.

B: The table does not represent a function because each element in the domain is associated exactly one element in the range

C: The table represents a function because each input has exactly one output.

D: The table does not represent a function because each output does not have exactly one input.

Answer: The third option, O 2x²+7x-4

Step-by-step explanation:

     We can use the "FOIL" method. We take the following four sets, multiply them together, then add them for our final answer.

-> first

-> last

-> inner

-> outer

     What does this look like mathematically?

-> first = (2x - 1)(x + 4) = 2x * x = 2x²

-> last = (2x - 1)(x + 4) = -1 * 4 = -4

-> inner = (2x - 1)(x + 4) = -1 * x = -x

-> outer = (2x - 1)(x + 4) = 2x * 4 = 8x

-

2x² - 4 - x + 8x

2x² + 7x - 4

           O 2x²+7x-4

Answer:

\(C. 2x^2+7x-4\)

Step-by-step explanation:

1) Distribute.

\((2x-1)(x+4)\\2x(x+4)-1(x+4)\)

2) Distribute.

\(2x(x+4)-1(x+4)\\2x^2+8x-1(x+4)\)

3) Distribute.

\(2x^2+8x-(x+4)\\2x^2+8x-x-4\)

4) Combine like terms.

\(2x^2+8x-x-4\\2x^2 + 7x - 4\)

Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

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With respect to the average cost curves, the marginal cost curve: intersects both average total cost and average variable cost at their minimum points that is option B.

The fixed cost per unit of production is the average fixed cost (AFC). AFC will reduce consistently as output grows since total fixed costs stay constant. The variable cost per unit of production is known as the average variable cost (AVC). AVC generally declines until it reaches a minimum and then increases due to the growing and then lowering marginal returns to the variable input. The average total cost curve's (ATC) behaviour is determined by the behaviour of the AFC and AVC.

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Complete question:

With respect to the average cost curves, the marginal cost curve:

A) Intersects average total cost, average fixed cost, and average variable cost at their minimum point

B) Intersects both average total cost and average variable cost at their minimum points

C) Intersects average total cost where it is increasing and average variable cost where it is decreasing

D) Intersects only average total cost at its minimum point

Answer:

18.2

Step-by-step explanation:

Since the hundreds place is less than 5, it stays the same.

Answer:

18.2, haven't done this for a while now, but I think that should be correct :)

Answer:

primero debemos resolver la ecuacion  sumamos 3d mas 10d luego pasamos el mumero 8 al otro lado entonces se convertira en negativo 8 el resulatdo de esta ecuacion sera 13d elevado al cubo =-8

13d^{3}=-8 entonces

entonces remplazamos en la formula cuadratica 3d=a  0=b  -8=c y lo rremplazas en la formula cuadratica

Step-by-step explanation:

First we must solve the equation we add 3d plus 10d then we pass the number 8 to the other side then it will become negative 8 the result of this equation will be 13d cubed = -8

13d 3 = - 8 then

then we replace in the quadratic formula 3d = a 0 = b -8 = c and you replace it in the quadratic formula

Answer:

\(2^{7}\)

Step-by-step explanation:

when x=2, the expression is now:

\((2^{4})(2^{3} )\)

First, multiply the terms with the same base by adding their exponents:

\(2^{4+3}\)

Add:

\(2^{4+3} =2^{7}\)

Hope this helps!! <3

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

The solution is D) The formula is true whenever n is a positive integer because we have completed both the basis and inductive steps, the assertion is true for any positive integer according to the concept of mathematical induction.

As per the idea of mathematical induction, to lay out a proclamation is valid for each sure whole number n, we should initially show that it is valid for n = 1 (the establishment step), and afterward, show that assuming the assertion is valid for some irregular number k, it should likewise be valid for k + 1.

Option D accurately says that both the basis and inductive steps have been completed, implying that the assertion is true for n = 1 and, if it is true for k, also true for k + 1.

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The question is -

Explain why these steps show that this formula is true whenever n is a positive integer.

Multiple Choice

A)We have completed the inductive step. so by the principle of mathematical induction, the statement is true for every positive integer n.

B) We have completed both the basic step and the inductive step, so by the principle of mathematical induction, the statement is true for every real number.

C) We have completed both the basic step and the inductive step, so by the principle of mathematical induction, the statement is true for every integer 2.

D) We have completed both the basic step and the inductive step, so by the principle of mathematical induction, the statement is true for every positive integer.

E) We have completed the inductive step, so by the principle of mathematical induction, the statement is true for every integer.

Answer:15

Step-by-step explanation: i a siwishy fishey

the perimeter of the composite figure is 20cm and its area is 37cm².

what is perimeter  ?

Perimeter is the total length of the boundary of a two-dimensional shape or figure. In other words, it is the distance around the outside of a shape. To find the perimeter of a shape, you simply add up the lengths of all its sides.

In the given question,

To find the perimeter of the composite figure, we need to add up the lengths of all the sides.

Starting from the left side of the figure, we have a vertical line segment of length 6cm, followed by a horizontal line segment of length 5cm, then another vertical line segment of length 2cm, followed by a slanted line segment of length 3cm, then another horizontal line segment of length 2cm, and finally, a vertical line segment of length 2cm.

So the perimeter of the composite figure is:

Perimeter = 6cm + 5cm + 2cm + 3cm + 2cm + 2cm

Perimeter = 20cm

To find the area of the composite figure, we can break it down into simpler shapes and add up their areas.

The composite figure can be split into two rectangles, one with dimensions 6cm x 5cm and the other with dimensions 2cm x 2cm, and a right triangle with base 3cm and height 2cm.

The area of the first rectangle is:

Area = length x width

Area = 6cm x 5cm

Area = 30cm²

The area of the second rectangle is:

Area = length x width

Area = 2cm x 2cm

Area = 4cm²

The area of the right triangle is:

Area = (base x height) / 2

Area = (3cm x 2cm) / 2

Area = 3cm²

Therefore, the total area of the composite figure is:

Area = 30cm² + 4cm² + 3cm²

Area = 37cm²

So the perimeter of the composite figure is 20cm and its area is 37cm².

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Answer:

980 Euro

Step-by-step explanation:

7/100  *  14,000.00= 7*140=980

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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8.27 is the normally distributed value of the shelf life which falls under 16% of the battery shelf life.

Because the shelf life of a battery manufactured by one big business is known to be regularly distributed, we would use the normal distribution formula, which is stated as

z = (x - µ) ÷ σ

Where

x = shelf life of a battery in years.

µ = mean shell life

σ = standard deviation

Based on the facts provided,

µ = 8 years

σ = 0.3 years

The z score corresponds to a p-value of 16% in the normal distribution table,

(16 ÷ 100 = 0.16) is - 0.9.

Therefore,

- 0.9 = (x - 9) ÷ 0.3

0.3 × (- 0.9) = x - 8

0.27 = x - 8

x = 0.27 + 8

x = 8.27

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Step-by-step explanation:

1.  (2^3)*(2^3)*(2^3)*(2^3)=2^12

2. (p^2)* (p^2)* (p^2)* (p^2)* (p^2)=p^10

3. (x^m)*(x^m)=x^(2m)

4. (2^3 x)* (2^3 x) = 2^6 x^2

Step-by-step explanation:

1. \((2^{3})^{4}=(2^{3})(2^{3})(2^{3})(2^{3})=(2^{12})\\\)

2. \((p^{2})^{5}=(p^{2})(p^{2})(p^{2})(p^{2})(p^{2})=(p^{10})\)

3. \((x^{m})^{2}=(x^{m})(x^{m})=(x^{2m})\)

4. \((2^{3}x)^{2}=(2^{3}x)(2^{3}x)=(2^{6}x^{2})\\\)

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find a linear equation that best fits the observed data points, allowing for the prediction of the dependent variable based on the independent variables.

In more detail, linear regression assumes a linear relationship between the dependent variable and the independent variables. The method estimates the parameters of the linear equation by minimizing the sum of the squared differences between the observed data points and the predicted values. This is typically done using a technique called ordinary least squares (OLS) regression. The resulting linear equation can be used to make predictions or infer the impact of the independent variables on the dependent variable.

Linear regression is widely used in various fields, including economics, finance, social sciences, and machine learning. It provides a simple and interpretable way to analyze and understand the relationship between variables. However, it is important to note that linear regression assumes certain assumptions about the data, such as linearity, independence of errors, and homoscedasticity. Violations of these assumptions can affect the accuracy and reliability of the regression model.

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Answer:

p = 4n

p = 312 passengers

n = 19.5 cars

Step-by-step explanation:

Let

n = number of cars

p = number of passengers

a. p = 4n

b. p = 4n

Find p if n = 78

p = 4n

p = 4 * 78

p = 312 passengers

c. Find n if p = 78

p = 4n

78 = 4n

Divide both sides by 4

78 / 4 = 4n / 4

19.5 = n

n = 19.5 cars

Answer:

$34.125

Step-by-step explanation:

5% of 32.50 is 1.625

1.625+32.50=34.125

$34.125

Answer:

15 movies

Step-by-step explanation:

If a person skips step 3 of blending or whisking the eggs, the eggs are likely to stick to the pan during cooking techniques .

Skipping step 3 in a cooking process can result in the eggs sticking to the pan.

When preparing eggs, step 3 typically involves blending or whisking the eggs. This step is crucial as it helps to incorporate air into the eggs, creating a light and fluffy texture. Additionally, whisking the eggs thoroughly ensures that the yolks and whites are well mixed, resulting in a uniform consistency.

By skipping step 3 and not whisking or blending the eggs, they will not be properly mixed. This can lead to the yolks and whites remaining separated, resulting in an uneven distribution of ingredients. As a consequence, when cooking the eggs, they may stick to the pan due to the clumps of not blended yolks or whites.

Whisking or blending the eggs in step 3 is essential, as it introduces air and creates a homogenous mixture. The incorporation of air adds volume to the eggs, contributing to their light and fluffy texture when cooked. It also aids in the cooking process by allowing heat to distribute more evenly throughout the eggs.

To avoid the eggs sticking to the pan, it is important to follow step 3 and whisk or blend the eggs thoroughly before cooking. This ensures that the eggs are properly mixed, resulting in a smooth consistency and even cooking.

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Answer:

not completely sure but I think it's it's 13.4

It will take approximately 27 years to accumulate $100,000 in the savings account.

To calculate the time required, we can use the future value of an ordinary annuity formula. In this case, the annuity is the annual savings of $1,300, the interest rate is 5%, and the desired future value is $100,000. By plugging these values into the formula, we can solve for the number of periods (years) it will take to reach the target amount.

The formula is:

FV = P * ((1 + r)^n - 1) / r

Where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of periods. Rearranging the formula to solve for n, we have:

n = log((FV * r / P) + 1) / log(1 + r)

Substituting the given values, we get:

n = log((100000 * 0.05 / 1300) + 1) / log(1 + 0.05)

Evaluating this expression, we find that n is approximately equal to 27. Therefore, it will take approximately 27 years to accumulate $100,000 in the savings account by saving $1,300 annually at an interest rate of 5%.

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Answer:

The answer is {1,2}

Step-by-step explanation:

{1,2,3,4}-{3,4,5,6}

{1,2}

First find the Slope-intercept form of the graph:

b=1

Given the points: (0,1)&(3,0)

slope= \(\frac{y1-y2}{x1-x2} =\frac{1-0}{0-3} =\frac{-1}{3}\)

The line is not a dashed line, so that means the values on the slope (blue) are also counted

All the y values below the slope are counted, the inequality is:

y\(\leq \frac{-1}{3}x +1\)

Hope it helps!

The equivalent expression of the expression given as \(\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}\) is (13 - 5x)/(2x - 8)

From the question, the expression is given as

\(\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}\)

Take the LCM of the fractions in the above expression

So, we have

\(\frac{\frac{3 - 5x + 10}{x - 2}}{\frac{2x - 4 - 4}{x - 2}}\)

Evaluate the like terms of the expressions

So, we have

\(\frac{\frac{13 - 5x}{x - 2}}{\frac{2x - 8}{x - 2}}\)

Divide the common factor x -2 in the expression

So, we have

\(\frac{13 - 5x}{2x - 8}\)

Rewrite as

(13 - 5x)/(2x - 8)

The expression cannot be further simplified

Hence, the solution is (13 - 5x)/(2x - 8)

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Answer:

x = -3

Step-by-step explanation:

6x + 4 = 4x - 2

-4x        -4x

--------------------

2x + 4 = -2

      -4    -4

--------------------

2x = -6

÷2     ÷2

-------------

x = -3

I hope this helps!

6x +  4 = 4x -2

2x = -6

x = -3

Answer:

62 + 6x + 10y

Step-by-step explanation:

1. add the x's together

3x+3x = 6x

2. add the constants together

66-6-6+4+4 = 62

3. add the y's together

5y + 5y = 10y

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates 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.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Answer:

23,24,26,27 sorry if you get it wrong