Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution.

G(x) = 3x 2 - 2x - 1
G(a + b) =

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer: 1/6

Step-by-step explanation:

Probability - The answer to the problem is P(Y = 4) = 3/32

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Mean = 120

Standard Deviation = 5

Z = (X - Mean)/Standard Deviation

Z = 1/2

(i) P(Y = 4) = 6/4 * (1/2)^2 * (1-1/2)^6-4

P(Y = 4) = 3/2 * 1/4 * 1/4

P(Y = 4) = 3/32

(ii)P(X > 500) = 1 - P(X ≤ 500)
= 1 - Φ(500; 480, 10)
= 1 - 0.9772
= 0.0228

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Answer:

3.63666666667 or about $3.64

Step-by-step explanation:

63.06 - 30.33 = 32.73(this is the price for 9 hamburgers)

32.73/9 = 3.63666666667(The price for hamburgers.)

1. A

2. A

3. D

4. A

5. D

6. A

7. B

8. C

9. D

The following statements are incorrect:  The slope is 1/2: The y-intercept is -4: The points (-2, -5) and (8, 0) are also on the line.

The slope of a line is calculated by finding the change in y divided by the change in x. In this case, the change in y is -7 - (-4) = -3 and the change in x is 2 - (-6) = 8. Therefore, the slope is -3/8.

The y-intercept of a line is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at (0, -4). Therefore, the y-intercept is -4.

The points (-2, -5) and (8, 0) are both on the line because they satisfy the equation of the line. The equation of the line is y = 2x - 4. Plugging in -2 for x gives y = 2(-2) - 4 = -8 - 4 = -12. Plugging in 8 for x gives y = 2(8) - 4 = 16 - 4 = 12. Both of these values are equal to the y-coordinate of the corresponding point, so the points are on the line.

The points (-5, -2) and (1, 10) are not on the line because they do not satisfy the equation of the line. Plugging in -5 for x gives y = 2(-5) - 4 = -10 - 4 = -14. Plugging in 1 for x gives y = 2(1) - 4 = 2 - 4 = -2. Neither of these values are equal to the y-coordinate of the corresponding point, so the points are not on the line.

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In a study examining the effect of ignoring text messages on distraction, the variable "trying to ignore text messages" would be the independent variable, whereas the variable "amount of distraction" would be the dependent variable.

The independent variable is the one that is manipulated or controlled by the researcher. In this case, the researchers are interested in studying the effect of attempting to ignore text messages, so they would manipulate the participants' behavior in relation to text messages (e.g., asking them to ignore the messages or not).

The dependent variable, on the other hand, is the variable that is measured or observed to determine the effect of the independent variable. Here, the researchers would measure the amount of distraction experienced by the participants as a result of trying to ignore the text messages.

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Answer:

a = 6

Step-by-step explanation:

using the sine ratio in the right triangle

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{12}\) ( multiply both sides by 12 )

12 × sin30° = a

12 × 0.5 = a , then

a = 6

Answer:

hope this helps!!

Step-by-step explanation:

Answer:

Already have the answer?

Step-by-step explanation:

k12

The  functions  graphed is y = x²+3 at x<4 y = x+4  x≥4 , Option B is the correct answer.

A function is a mathematical statement used to correlate the value of two variables.

The function given in the image consists of piece wise function

The first part is a parabola and the second is a straight line function

The dot is filled at point 4 for the straight line while the parabola is showing that the point is not included therefore

y = x²+3 at x<4

y = x+4  x≥4

Therefore Option B is the correct answer.

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The most basic distinction between types of data is that some data are quantitative while other data are qualitative. Quantitative data consists of numerical information that can be measured or counted, allowing for statistical analysis and objective comparisons. This type of data can be further classified into two subcategories: continuous data and discrete data.

Continuous data represent measurements that can take on any value within a specified range, such as height, weight, temperature, or time. These measurements can be represented using fractions or decimals and are typically collected using precise instruments like rulers or thermometers.

Discrete data, on the other hand, consist of distinct, separate values that can be counted or categorized. Examples of discrete data include the number of students in a class, the number of cars in a parking lot, or the number of books sold in a month. Discrete data is often collected through surveys or counting processes.

In contrast, qualitative data are non-numerical and describe attributes, characteristics, or experiences. This type of data is typically obtained through observation, interviews, or open-ended survey questions. Examples of qualitative data include feelings, opinions, beliefs, or descriptions of events.

In summary, the primary distinction between types of data lies in their nature: quantitative data is numerical and allows for objective measurement, while qualitative data is descriptive and explores subjective aspects. Understanding the difference between these two types of data is essential for conducting accurate and meaningful research.

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if any doubt leave a comment

Answer:

w = 10

l = 50

Step-by-step explanation:

Formula of Perimeter: w + w + l + l or 2w + 2l

l = 5w

2l + 2w = 120

2(5w) + 2w = 120

10w + 2w = 120

12w = 120

w = 10

l = 5(10)

l = 50

Check:

2l + 2w = 120

2(50) + 2(10) = 120

100 + 20 = 120

120 = 120

Hope This Helps!

Lets denote our variables as:

The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:

2(x) + 2(5x) = 120

2x + 10x = 120

12x = 120

 x = 120/12

 x = 10 m → Width of the rectangle

Substituting in the length:

5x = 5(10) = 50 m → Length of the rectangle

Answer:

Peter hit 12 home runs and alice hit 6 home runs

Step-by-step explanation:

this is right because if Peter hit 6 and then he hit twice the amount that would bring his total to 12 due to 6 x 2 = 12 and if together they hit 18 home runs that would mean you want to subtract the total from Peter's and that would be explained as 18-12=6 and the 6 left over would leave you with alice number of home runs. Hope this helps :)

9514 1404 393

Answer:

  6b

Step-by-step explanation:

  ( - bc + 3b - 4c) + (bc + 3b + 4c) = bc(-1 +1) +b(3 +3) +c(-4 +4)

  = 0bc +6b +0c

  = 6b

hope this helps.enjoy

Answer:hi

Step-by-step explanation:

Answer:

Origin of common law

The English common law originated in the early middle ages in the King's court. It did not have substantive rights but it consisted of procedural remedies. Until the 19th century, the English common law continued to be developed primarily by the judges rather than the legislature.

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The time it would take for Julian's money to double than for Brandon's money to double is  0.81 years.

The formula that can be used to determine the doubling time is

Number of years =  (In FV/PV) / r

(In 2/ 0.0475)  - (In 2/ 0.045) - (In 2/ 0.0475)  

= 14.59 - 15.40

= 0.81 years

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Answer:

15. -140.008

16. \(j = \frac{17-15q}{4}\)

17. \(q = \frac{17 - 4j}{15}\)

Step-by-step explanation:

15. -2.3(8.6)²+ 3.5(8.6)= -140.008

16.

15q + 4j = 17

4j = 17 - 15q

\(j = \frac{17-15q}{4}\)

17.

15q + 4j = 17

15q = 17 - 4j

\(q = \frac{17 - 4j}{15}\)

The point that preserves the function is option  A(-3,-8).

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

We have four option for the answer.

Note: if f is a function then each number of the domain has an unique image.

Since (regarding the table) the image of 9 is 6 then the answer D is wrong

The same apply on answers B and C .

Therefore, the right answer is A(-3,-8).

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Answer:

19

Step-by-step explanation:

The measure of an inscribed angle is half of the measure of its intercepted arc.

6x + 17 = (1/2)(262)

6x + 17 = 131

6x = 114

x = 19

The irrational number on a number line is 13.1. All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.There is no length, no matter how short, that could be used to express the lengths of both of the two supplied segments as integer multiples of itself.

Square Root of 172 to the nearest tenth, means to calculate the square root of 172 where the answer should only have one number after the decimal point.

We calculate the square root of 172 to be:

√172 = 13.11487704860400

Reduce the tail of the answer above to two numbers after the decimal point: 13.11

Round 13.11 so you only have one digit after the decimal point to get the answer: 13.1

To check that the answer is correct, use your calculator to confirm that 13.1² is about 172.

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Jessica's annual salary is $68571.43.

Data;

This is the ratio of a number to the entire value and multiplied by 100

The percentage set aside for housing is given as 28% which is $1600.

Let find 28% of x which is equal to 1600

\(\frac{28}{100} = \frac{1600}{x}\)

cross multiply both sides and solve for x

\(\frac{28}{100} = \frac{1600}{x}\\ 28*x = 100*1600\\28x = 160000\\\)

Divide both sides by the coefficient of x

\(\frac{28x}{28} = \frac{160000}{28}\\ x = 5714.28\)

Her monthly income is $5714.28.

Let's multiply this by 12 (months in a year) to determine her gross monthly income.

\(5714.28*12 = 68571.43\)

From the above calculations, Jessica's annual salary is $68571.43.

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Answer:

Step-by-step explanation:

(0.7}

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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Answer:

The way the choices are given is a bit confusing but it has a slope of -1/2

The graph that gives the best representation of the scenario is: option 1 (A).

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

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I would recommend taking this bet, as the expected value of the bet is Positive.

The expected value of a bet is the sum of the product of each possible outcome and its corresponding probability. In this case, the probability of getting two heads is 0.25, and the payout for that outcome is $10. The probability of not getting two heads is 0.75, and the payout for that outcome is -$2. When you multiply each outcome by its corresponding probability and sum them together, the expected value of the bet is $1.0. Because the expected value of the bet is positive, it is  a good bet to take. It is more likely that you will gain money .

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