2x^2+13x+6=0 solve by factoring please show work

To receive maximum power dissipated by the load from a network the resistance of the load should be exactly equal to the Thévenin resistance of the network is True statement.

To receive maximum power dissipated by the load from a network, the resistance of the load should be exactly equal to the Thévenin resistance of the network. This condition is known as impedance matching.

When the load resistance matches the Thévenin resistance of the network, the maximum power transfer theorem states that the power delivered to the load will be maximized.

If the load resistance is not matched to the Thévenin resistance, there will be a mismatch and some of the power will be reflected back to the source, resulting in lower power dissipation by the load.

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Answer:

a horizontal translation 3 units to the right because-3 has been added to the exponent

The statements are always true regarding the diagram, as follows:

1.  m∠5 + m∠6 = 180°

2. ∠ 2+ ∠ 3 = ∠ 6

3. m∠2 + m∠3 + m∠5 = 180°

An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.

Consider Δ ABC with Exterior angles as

∠ 1 , ∠ 4 , and ∠ 6

For Exterior ∠ 1 we have

∠ 1 = ∠ 5 + ∠ 3

This true due to Exterior angle Property of Triangle

Similarly,

For Exterior ∠ 4 we have

∠ 4 = ∠ 5 + ∠ 2.

This true due to the Exterior angle Property of the Triangle

Similarly,

For Exterior ∠ 6 we have

∠ 6 = ∠ 2 + ∠ 3

In a triangle sum of the measures of angles is equal to 180°

∴ m∠2 + m∠3 + m∠5 = 180°

This is true due to Triangle Sum Property

A straight angle has a measurement of 180 degrees, hence a linear pair of angles must sum up to 180 degrees.

∴ m∠5 + m∠6 = 180°

This true due to the Linear Pair.

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Answer:

There are infinite number of answers.

(2,0)

(2,1)

(2,2)

(2,3)

(2,4) and etc.

Step-by-step explanation:

The given statement that the analysis of regression is used to test the significance of a linear regression equation based on a sample of n is TRUE.

 What is linear regression?

Linear regression analysis is used to predict the value of a variable based    on the value of another variable.

TRUE ,The significance of a linear regression equation based on a sample of n data points is examined using an analysis of regression, which tests the null hypothesis that the coefficients of the regression equation are equal to zero.

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Answer: The answer is A

Step-by-step explanation: Looking at the graph we can see that if we add up row 1, we get 0.75 of his friends go to the movies, while 0.69 go to soccer games.

False, the first step in the Delphi Technique is not to create a questionnaire consisting of a series of open-ended questions.

The Delphi Technique is a method used to obtain a reliable consensus among a group of experts. It is often used in forecasting, decision making, and problem solving. The first step in the Delphi Technique is to identify a panel of experts in the field of interest. These experts will be the ones providing their opinions and insights throughout the process.

Once the panel of experts has been identified, the next step is to create a questionnaire consisting of a series of open-ended questions. This questionnaire will be sent to the experts, and their responses will be used to develop a second questionnaire. This process will continue until a consensus has been reached.

In conclusion, the first step in the Delphi Technique is to identify a panel of experts, not to create a questionnaire consisting of a series of open-ended questions.

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The p-value for a hypothesis test that μx=520 is the probability of observing a sample mean as extreme or more extreme than 520, assuming that the true population mean is 520. It is calculated using the test statistic and a t-distribution or z-distribution, and is used to make a decision about the null hypothesis.

The p-value for a hypothesis test is the probability of observing a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true. In the case of the hypothesis test that μx=520, the p-value would be the probability of observing a sample mean as extreme or more extreme than 520, assuming that the true population mean is 520.

To calculate the p-value, we would first need to calculate the test statistic, which is the difference between the sample mean and the hypothesized population mean, divided by the standard error of the sample mean. The standard error of the sample mean is the standard deviation of the population divided by the square root of the sample size.

Once we have the test statistic, we can use a t-distribution or a z-distribution, depending on the sample size, to find the p-value. The p-value is the area in the tail of the distribution that corresponds to the test statistic.

If the p-value is less than the significance level, we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis. If the p-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support the alternative hypothesis.

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Answer:A = 6s²

a) s = 3in, subtitute

A = 6 · 3² = 6 · 9 = 54 (in²)

b) s = 1.5 m, subtitute

A = 6 · 1.5² = 6 · 2.25 = 13.5 (m²)

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

length x width x height

7 x 5 x 3

Answer: surface area = 142

Volume = 105

* make sure to add labels (units^2, etc.)

Step-by-step explanation:

Area = length x height

Volume = length x width x height

Answer:

189 diagonals have 21 sides.

it is called hectogan take care

Answer:

13x + 12xy - 3x

Step-by-step explanation:

x(13 + 12y - 3)

You want to distribute the x across each term in the parentheses.

x • 13 = 13x

x • 12y = 12xy

x • -3 = -3x

Combine terms.

13x + 12xy - 3x

Hope this helps!

Answer:

13x + 12yx - 3x

Answer 10x + 12yx is also right since it is just a fully simplified version of the equation above.

Step-by-step explanation:

In order to get the expanded version of this expression, we would just have to get rid of the brackets by multiplying each number inside the brackets by x. And so we get...

x(13 + 12y - 3) = 13x + 12yx - 3x = 10x + 12yx

Answer:

f ' [x] = 0

Step-by-step explanation:

If Ω is open, then S∩Ω⊇Ω is true. However, this statement is not necessarily true if Ω is not open.

To prove that S∩Ω⊇Ω when Ω is open, we can consider the definition of an open set. An open set Ω is a set in which every point has a neighborhood contained entirely within Ω. Since S is a dense set in Rn, it means that for every point in Rn, there exists a sequence of points in S that converges to that point.

Now, if Ω is open, for any point x∈Ω, there exists a neighborhood around x that is entirely contained within Ω. Since S is dense in Rn, there will be points from S within this neighborhood. Therefore, S∩Ω contains all the points in Ω, and thus S∩Ω⊇Ω.

However, if Ω is not open, this statement may not hold. In particular, if Ω has points on its boundary that do not belong to Ω itself, then S∩Ω may not contain all the points in Ω. In this case, S∩Ω may be a subset of Ω but not equal to Ω. Thus, the statement S∩Ω⊇Ω is not necessarily true when Ω is not open.

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To calculate the average rate of change of a function from x = -1 to x = 1, we need to find the difference in the function's values at those two points and divide it by the difference in the x-values.

Let's denote the function f(x). The average rate of change (AROC) is given by:

AROC = (f(1) - f(-1)) / (1 - (-1))

To determine the function's values at x = 1 and x = -1, we need more specific information or a graph of the function f(x).

Without that information, we cannot provide an accurate answer or simplify the fraction.

If you can provide the function's equation or a graph, I would be more than happy to assist you in finding the average rate of change.

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1

The exact value of tan(π4) tan ( π 4 ) is 1 .

A proper fraction is a fraction where the numerator is smaller than the denominator. In other words, the value of the fraction is less than one. On the other hand, an improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 4/3 and 7/5 are improper fractions.

1/2 - The numerator is 1, which is smaller than the denominator 2. This fraction represents one half or 0.5.

3/4 - The numerator is 3, which is smaller than the denominator 4. This fraction represents three-fourths or 0.75.

2/5 - The numerator is 2, which is smaller than the denominator 5. This fraction represents two-fifths or 0.4.

7/8 - The numerator is 7, which is smaller than the denominator 8. This fraction represents seven-eighths or 0.875.

In general, any fraction where the numerator is smaller than the denominator is a proper fraction. Proper fractions are important in mathematics and everyday life, as they represent parts of a whole and can be used to express values such as percentages and probabilities.

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All scores of Mrs. Jones students' fall within plus or minus 3.261 standard deviations from the mean, so all of the quiz grades fall within 3.261 standard deviations from the mean.

The grades of Mrs. Jones's Algebra 2 class are 91, 92, 94, 88, 96, 99, 91, 93, 94, 97, 95, 97.

The grade of one student is not mentioned, but everyone except this one student received an A.

We don't need to worry about the grade of the student who did not receive an A, but we can find the mean and standard deviation for the remaining twelve students.

The mean of these 12 scores is:

\($$\text{Mean}={\sum\text{grades.}}\\{\text{Number of grades}}=\frac{91+92+94+88+96+99+91+93+94+97+95+97}{12}=93.17$$\)

Next, find the standard deviation:

Step 1:

Find the deviations.

Find the deviations from the mean by subtracting the mean from each score.

The deviations are:

\($$-2.17, -1.17, 0.83, -5.17, 2.83, 5.83, -2.17, -0.17, 0.83, 3.83, 1.83, 3.83$$\)

Step 2: Square the deviations.

This will make each value positive.

The squared deviations are:\($$4.7, 1.4, 0.7, 26.7, 8.0, 33.9, 4.7, 0.0, 0.7, 14.6, 3.3, 14.6$$\)

Step 3: Add the squared deviations.

This is the sum of the squared deviations, or \(ΣX2:$$ΣX2=116.9$$\)

Step 4: Divide by the number of scores minus one.

This is the variance:

\($$s^{2}=\frac{ΣX^{2}}{n-1}\\=\frac{116.9}{11}\\=10.627$$\)

Step 5: Find the square root.

This is the standard deviation

\($$s=\sqrt{s^{2}}\\=\sqrt{10.627}\\=3.261$$\)

Thus, all quiz grades are within 3.261 standard deviations of the mean, which is the range of scores between plus and minus.

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The type of data for the eye color of respondents in a survey is qualitative. Qualitative data refers to non-numerical information that describes qualities or characteristics. In this case, eye color is a characteristic that can be described using words such as blue, brown, green, hazel, etc.

The level of measurement for the eye color data is nominal. Nominal measurement is the lowest level of measurement and involves categorizing data into distinct categories or groups without any inherent order or numerical value.

In the case of eye color, each respondent can be assigned to one and only one category (e.g., blue, brown, green), and there is no inherent order or ranking among these categories.

The choice of qualitative data and nominal level of measurement for eye color in a survey is based on the nature of the variable being measured. Eye color is a categorical variable that cannot be meaningfully quantified or measured on a numerical scale.

It represents distinct categories rather than quantities or amounts. Additionally, there is no inherent order or ranking among different eye colors; they are simply different categories.

Using qualitative data and nominal level of measurement allows for easy classification and analysis of eye color data. It enables researchers to group respondents based on their eye color and examine patterns or relationships within these groups.

Overall, the choice of qualitative data and nominal level of measurement for the eye color variable in a survey is appropriate because it accurately reflects the nature of this characteristic and allows for meaningful analysis within its categorical framework.

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Answer:

8 inches on each side

Step-by-step explanation:

The total amount of money after 3 years with a principal of $5000 and an annual interest rate of 5.6% would be $10,875.82.

Assuming that the interest is compounded annually, the calculation for the total amount of interest earned over the 3 years would be:

Interest = Principal x (1 + annual interest rate)^time - Principal

Plugging in the given values:

Interest = $5000 x (1 + 0.056)^3 - $5000

= $5000 x 1.175 + $182.32

= $5875.82

Therefore, the total interest earned over the 3 years would be $5875.82.

To calculate the total amount of money after the 3 years, you would add the interest earned to the principal:

Total amount = Principal + Interest

= $5000 + $5875.82

= $10,875.82

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complete question:

Find the total amount received , If Principal,$5000;Annual interest rate, 5. 6%; time, 3 years ?

Answer:

Explanation:

Here, we want to get the original fraction

Let us have the original fraction as follows:

From the question, the denominator is greater than the numerator by 9

Mathematically, we have that as:

We proceed with the second sentence as follows:

From the first equation, we have it that:

Substitute this into the second equation as follows:

From above, we recall that:

The original fraction is thus:

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Answer:

Yes

Step-by-step explanation:

You are using the x values once, so it will pass the vertical line test.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

A relation is a function if it has only One y-value for each x-value.

The relation is {(3,4), (5,0), (2,4), (-5,-5)}

Relation on a set may, or may not, hold between two given set members.

Three comma four comma five comma zero two comma four comma minus five comma minus five.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function, because in (x,y) the x terms are not repeated.

For every y value there is a unique x value.

Hence, {(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

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The statements given are mostly true, except for the statements that V_4 is parallel to V_3 and that V_3 is greater than V_1.

The magnitude of a vector can be different in different coordinate systems. True

It is possible to add a scalar to a vector. True

A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. True

The direction of a vector can be different in different coordinate systems. True

A 2D vector can have a component equal to zero even when its magnitude is nonzero. True

The components of a vector can be different in different coordinate systems. True

It is possible to multiply a vector by a scalar. True

If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. False

If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. True

If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. True

If V_3 = V_1 + V_2, then V_3 > V_1. False

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Answer:

The value of Car B will become greater than the value of car A during the fifth year.

Step-by-step explanation:

Note: See the attached excel file for calculation of beginning and ending values of Cars A and B.

In the attached excel file, the following are used:

Annual Depreciation expense of Car A = Initial value of Car A * Depreciates rate of Car A = 30,000 * 20% = 6,000

Annual Depreciation expense of Car B from Year 1 to Year 6 = Initial value of Car B * Depreciates rate of Car B = 20,000 * 15% = 3,000

Annual Depreciation expense of Car B in Year 7 =  Beginning value of Car B in Year 7 = 2,000

Conclusion

Since the 8,000 Beginning value of Car B in Year 5 is greater than the 6,000 Beginning value of Car A in Year 5, it therefore implies that the value Car B becomes greater than the value of car A during the fifth year.

It’s the 7th year

Plato

The solution to the system of equations is (-2, 3), where x is -2 and y is 3.

To find the solution to the system of equations:

1. Isolate x in the first equation:

x + 3y = 7

Subtract 3y from both sides:

x = 7 - 3y

2. Substitute the value for x into the second equation:

2x + 4y = 8

Substitute x with 7 - 3y:

2(7 - 3y) + 4y = 8

3. Simplify and solve for y:

14 - 6y + 4y = 8

Combine like terms:

-2y + 14 = 8

Subtract 14 from both sides:

-2y = -6

Divide both sides by -2:

y = 3

4. Substitute y = 3 into either original equation:

x + 3(3) = 7

x + 9 = 7

x = 7 - 9

x = -2

5. Write the solution as an ordered pair:

The solution is (-2, 3), which represents the values of x and y that satisfy both equations in the system.

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The complete question is:

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the value for x into the second equation: 3. Solve for y: 4. Substitute y into either original equation: 5. Write the solution as an ordered pair: x = 7 – 3y 2(7 – 3y) + 4y = 8 14 – 6y + 4y = 8 14 – 2y = 8 –2y = –6 y = 3 x + 3(3) = 7.

Answer:

12

Step-by-step explanation:

let the rational number be x

x+(-3) = 9

x = 9+3 = 12

Answer:

12

Step-by-step explanation:

x + y = 9

x = -3

=>

-3 + y = 9

y = 12