Which statement about residual plots is NOT true?
A. The vertical axis shows residuals.
B. If there is an obvious pattern, the model is probably reasonable.
C. The x-axis appears in the middle of the graph.
D. The sum of the residuals is 0.

Answer:

1 Greatest Common Factor

We have to find out the greatest common factor, of the given polynomial to factorise it. This process is nothing but a type of reverse procedure of distributive law.

2. Grouping

This method is also said to be factoring by pairs. Here, the given polynomial is distributed in pairs or grouped in pairs to find the zeros.

3. Using Identities

The factorisation can be done also by using algebraic identities. The most common identities used in terms of the factorisation are:

(a + b)2 = a2 + 2ab + b2

(a – b)2 = a2 – 2ab + b2

a2 – b2= (a + b)(a – b)

4. Zero Factor Property :The Zero Factor Property (also called the Zero Product Property) says that if the product of two quantities is zero, then at least one of those quantities is zero. The only way to get a product equal to zero is to multiply by zero itself.

5. Greatest Common Factor (GCF) Method:

This is almost always the first method applied to factoring polynomials. Look at all of the terms and see if they all have something in common that can be removed.

6. Sum or Difference in Two Cubes

A cube is a term that has been multiplied by itself twice.

\( {3}^{3} {x}^{3} and \: \: \: {27x}^{3} \)

are all cubed terms. The trick to remembering how to factor cubed terms is S.O.A.P. S = same sign, O = opposite sign A.P. = always positive.

We have discussed the general strategy for solving an equation of the form x/a = b.

What is an equation?

An equation is a mathematical statement that shows that two expressions are equal. An equation is composed of two sides, separated by an equal sign (=), with each side containing one or more variables, numbers, and/or mathematical operations.

The general strategy for solving an equation of the form x/a = b is to:

Multiply both sides of the equation by a, in order to cancel out the fraction on the left side. This will isolate the variable x on one side of the equation.

Simplify the equation by combining like terms if necessary.

Check the solution by substituting it back into the original equation and verifying that it makes the equation true.

For example, consider the equation x/2 = 4

Multiply both sides by 2: x/2 * 2 = 4 * 2

x = 8

To check the solution, substitute it back into the original equation: x/2 = 4, 8/2 = 4. The equation is true, so x = 8 is the correct solution.

It's important to keep in mind that when solving equations, it is important to follow the order of operations, and also to be careful when dividing or multiplying by zero.

Hence, we have discussed the general strategy for solving the equation.

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The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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The total interest paid over the 20-year mortgage term is approximately $128,087.20.To calculate the monthly payments and total interest for a $150,000 20-year fixed-rate mortgage at 4.5%, we can use the loan payment formula.

First, let's convert the annual interest rate to a monthly interest rate by dividing it by 12 and converting it to a decimal form. The monthly interest rate is 4.5% / 12 = 0.375%.

Next, we calculate the number of monthly payments by multiplying the number of years by 12. In this case, it's 20 years * 12 = 240 months.Using the loan payment formula:

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

Where P is the principal amount (in this case $150,000), r is the monthly interest rate (0.00375), and n is the number of monthly payments (240).Plugging in the values, we get:

Monthly Payment = (150000 * 0.00375 * (1 + 0.00375)^240) / ((1 + 0.00375)^240 - 1) ≈ $952.03

Therefore, the monthly payment amount is approximately $952.03.To calculate the total interest paid, we subtract the principal amount from the total amount paid over the loan term. The total amount paid is the monthly payment multiplied by the number of payments:

Total Interest = (Monthly Payment * n) - P

= ($952.03 * 240) - $150,000

≈ $128,087.20.

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It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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The value of the equation that defines the function is f(x) = 3(5/3)ˣ

From the question, we have the following parameters that can be used in our computation:

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

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Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer: x = -3/2 , x = -1 1/2 , x = -1.5

Step-by-step explanation:

6/-4.5 = 8/4x

first determine the defined range --> x ≠ 0

cancel out the common factor 4 --> 6/-4.5 = 2/x

the convert the decimal into a fraction --> 6/-9/2 = 2/x

now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x

then simplify the complex fraction --> -4/3 = 2/x

simplify the equation using cross-multiplication --> -4x=6

divide both side of the equation by -4 --> x = -3/2 , x ≠ 0

lastly, check if the solution is in the defined range --> x = -3/2

solution : x = -3/2

Alternative form: x = -1 1/2 , x = -1.5 (simplified)

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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The expression provided is equal to  \(\frac{19}{6}\).

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

As per the given data we have to evaluate:

\(\frac{1}{\frac14} - \frac56\)

Simplifying:

\(\frac41 - \frac56\)

Taking LCM of denominator:

\(\frac{4\times6}{1\times6} - \frac56\)

= \(\frac{24-5}{6}\)

= \(\frac{19}{6}\)

The given expression is equal to  \(\frac{19}{6}\).

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Answer:

37.69

Step-by-step explanation:

Answer:r=7r =9 r=10

Step-by-step explanation:

Answer:

22,2

Step-by-step explanation:

average also known as mean

so you find it by adding all the numbers together and dividing them by how many there are

so 21,8 + 24,2 + 20.6 = 66,6 divided by 3 equals 22,2

Answer

D. (-3, 0) and (3, -4)

Explanation

Let the coordinate of the points be A(-9, 4) and B(9, -8).

We shall look for the gradient m of line using

m = (y₂ - y₁)/(x₂ - x₁)

Substitute for x₁ = -9, y₁ = 4, x₂ = 9 and y₂ = -8

m = (-8 - 4)/(9 - -9) = -12/18 = -2/3

From option A - D given, only C and D would have the same gradient of -2/3 as line AB

To know the correct option, we shall look for the equation of the line AB, that is,

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

(y - 4)/(x - -9) = (-8 - 4)/(9 - -9)

(y -4)/(x + 9) = -12/18

(y - 4)/(x + 9) = -2/3 -----------*

Between option C and D, only D satisfies the equation *

That is, using (-3, 0), we have (0 - 4)/(-3 + 9) = -4/6 = -2/3

Also, using (3, -4), we have (-4 - 4)/(3 + 9) = -8/12 = -2/3

Answer:

7/17

Step-by-step explanation: I hope this helps!

Answer:

21/51 simplified to lowest terms is 7/17.

Step-by-step explanation:

Find the GCD of numerator and denominator

Divide both the numerator and denominator by the GCD

21 ÷ 3  = 7

51 ÷ 3 = 17

Reduced fraction = 7/17

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Who is economist?

An economist is an expert who studies the relationship between society's resources and their production or output. Economists study societies ranging from small communities to whole nations to the global economy.

Economists expert opinions and research inform the design of a variety of policies, including interest rates, tax laws, employment programs, international trade agreements and corporate strategy.

The work of economists is incredibly diverse. Conduct surveys and collect data. Analyze data using mathematical models, statistical methods, and software. Present your research results in reports, tables, and graphs. Interpreting and forecasting market trends. Advises businesses, governments and individuals on economic matters. Proposing solutions to economic problems. Write articles for scientific journals and other media.

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

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Answer:

109

Step-by-step explanation:

line AB is 180 degrees because a circle is 360 degrees and half a circle is 180 degrees.

Add 42 degrees and 29 degrees.  42+29 = 71

Then subtract. 180 - 71 = 109

So therefore \(x=109\)

Hope this helps:)

Answer:

109

Step-by-step explanation:

AB = 180° ( straight line )

X = 180 - 42 - 29

= 138 - 29

= 109

Hope this helped :)

Answer:

Chris=24

Jane=32

Shen=96

Step-by-step explanation:

Chris= x

Jane = x + 8

Shen = 4x

6x+8= 152

152-8=144

6x=144

144/6=24

x=24

Please find attached

Answer:

equation : 2x+9-5y=0

Step-by-step explanation:

x and y cut axes at -4.5 and 1.4 respectively

given

when x=0

9-5y=0

y=1.4

When y=0

2x+9=0

x=-4.5

The solution of each row and column is shown in figure below.

A Sudoku puzzle is a logic-based puzzle that involves filling a 9x9 grid with digits so that each column, row, and 3x3 sub-grid contains all of the digits from 1 to 9. The puzzle typically starts with some of the cells already filled in, and the player's task is to use logic and deduction to fill in the remaining cells.

The puzzle is usually designed to have a unique solution, and there are often multiple levels of difficulty depending on how many cells are initially filled in and how complex the logic required to solve the puzzle is. Sudoku puzzles are a popular pastime and have been published in newspapers, magazines, and puzzle books, as well as being available online and in mobile apps.

The solution of each row and column is shown in figure below.

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By answering the presented question, we may conclude that Therefore, triangle the length of the base AB is approximately 20.88 centimeters.

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

the length of the base AB,

Area = (1/2) * base * height

\(CB^2 = CD^2 + BD^2\\9^2 = x^2 + (AB - x)^2\\81 = x^2 + (AB^2 - 2ABx + x^2)\\AB^2 - 2ABx + 2x^2 = 81\\\)

We also know that the area of the triangle is:

\(46 = (1/2) * AB * CB\\46 = (1/2) * AB * \sqrt(x^2 + 81)\\Now we can solve for AB in terms of x:AB = (2 * 46) / \sqrt(x^2 + 81)\\AB = 92 / \sqrt(x^2 + 81)\\(92 / \sqrt(x^2 + 81))^2 - 2(92 / \sqrt(x^2 + 81))x + 2x^2 = 81\\\)

\(8464 / (x^2 + 81) - (184x) /sqrt(x^2 + 81) + 2x^2 = 81\\8464 - 184x(x^2 + 81) + 2x^2(x^2 + 81) * sqrt(x^2 + 81) = 81(x^2 + 81)\\2x^4 - 181x^2 + 7743 = 0\\x^2 = (181 + \sqrt(181^2 - 427743)) / (2*2)\\x^2 = (181 + sqrt(129961)) / 4\\x^2 = (181 + 361) / 4\\x^2 = 90^2 / 4\\x = 45\sqrt(2) / 2\\\)

\(AB = 92 / \sqrt(x^2 + 81)\\AB = 92 / \sqrt((45sqrt(2) / 2)^2 + 81)\\AB = 92 / \sqrt(4050)\\AB ≈ 20.88 cm\\\)

Therefore, the length of the base AB is approximately 20.88 centimeters.

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The correct graph of the inequality -0.4x - 2 < - 1.2 is option 2.

Equation containing a relational operator and a linear expression is known as a linear inequality. In a coordinate plane or space, regions that satisfy a linear inequality are defined. A linear inequality defines a half-plane in two dimensions, which, depending on the inequality, can be either above or below a line. A linear inequality defines a half-space in three dimensions, which, depending on the inequality, is either above or below a plane. The goal of optimization problems is to determine the maximum or minimum value of a linear function under a set of constraints, which are typically represented by linear inequalities.

The given inequality is -0.4x - 2 < - 1.2.

-0.4x - 2 < - 1.2

Adding 2 on both sides of the equation we have:

-0.4x < -1.2 + 2

-0.4x < 0.8

-x < 2

x > -2

Hence, the correct graph of the inequality is option 2.

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a and b are paralllel, both corssed by a tranversal line.

5 and 6 are supplementary angles (both add to 180°)

So:

<5+<6 =180

Since <6=74°

<5+74 =180

<5=180-74

<5= 106°

angles 5 and 1 are corresponding angles ( they are in matching corners), so they are equal:

<5=<1

<1 = 106°

Answer:

First Graph: the function is symmetrical around y axis -> Even

Second Graph: the function is neither

Answer:

Step-by-step explanation:

Answer:

1 pound 3.4 ounces

Step-by-step explanation: