What property is used?

Answer:

slope = - 2, y- intercept = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = \(\frac{-1-5}{3-0}\) = \(\frac{-6}{3}\) = - 2

The y- intercept is the point on the y- axis where the line crosses

The y- intercept = 5

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer:

The solution is any point in the common part of red and blue

The two lines intersect each other at (4 , 7)

Step-by-step explanation:

∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6

∵ y > 2x - 1 ⇒ y = 2x - 1

∴ 2x - 1 = 1/4 x + 6

∴ 2x - 1/4 x = 6 + 1

∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4

∴ x = 4

∴ y = 2(4) - 1 = 7

∴ The two lines intersect each other at (4 , 7)

∴ The solution is any point in the common part of red and blue

Let's convert 40m to yards

\(\\ \sf\longmapsto 40m=40(1.094)=43.76\)

Jason can throw more farther .

The factorization of the expression  \(x^3+3x^2+9x+27\) is  \((x+3)(x^2+9)\).

What is factorization?

  The greatest common factors among the terms in the provided algebraic expression are identified, and the terms are then grouped in accordance with these factors to factorise the equation. A factorization is just the procedure by which an algebraic expression gets expanded in the opposite direction. The greatest common factors among the terms in the provided algebraic expression are identified, and the terms are then grouped in accordance with these factors to factorise the equation. Factorization is the reverse process of expansion of an algebraic statement. If an algebraic expression is a product of prime factors, it has undergone complete factorization.

Here the given polynomial expression is ,

=> \(x^3+3x^2+9x+27\)

=> \(x^2(x+3)+9(x+3)\)

=> \((x+3)(x^2+9)\)

Hence the complete factorization of the given expression is \((x+3)(x^2+9)\).

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Answer:

yellow blue green gray black white

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer:

The perimeter of square is 240 meters.

Step-by-step explanation:

Given that all sides of square are the same. Let the expression of sides into x :

\(area = side \times side\)

\(let \: sides = x,area = 3600\)

\( {x}^{2} = 3600\)

\(x = \sqrt{3600} \)

\(x = 60 \: m\)

Then, you have to apply perimeter of square :

\(perimeter = 4(sides)\)

\(perimeter = 4 \times 60\)

\(perimeter = 240 \: m\)

Answer:

Computer = $2106

Printer = $1053

Step-by-step explanation:

Computer - Multiple by 2 = 2106

Printer - Divide by 2 = 1053

Hope this helped the wording was a little confusing, but I hope I got it right.

In linear equation , $8  the amount of money (cost) to play laser tag.

What are a definition and an example of a linear equation?

let x = number of games, let y = cost of  tag

then        Total cost = x•$3 + y

In this case, TC = 3•$2 + $2

TC = $8

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Answer:

210 degrees

Step-by-step explanation:

The line is pointing at 210 degrees. You just have to turn the picture.

Using the cosine double angle formula,

\(\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}\)

(Note I took the positive case since \(\theta\) terminates in the first quadrant)

Using the Pythagorean identity,

\(\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}\)

(Note I took the positive case since \(\theta\) terminates in the first quadrant)

Using exponential properties, it is found that the equivalent expression to the frequency of any pitch is given by:

\(f = 440\sqrt[12]{2^{10}}\)

It happens according to the following rule, with the denominator as the root and the numerator as the exponent:

\(a^{\frac{n}{m}} = \sqrt[m]{a^n}\)

The rule for the frequency is given by:

\(f = 440(2)^{\frac{10}{12}}\)

Hence the equivalent expression to f is given by:

\(f = 440\sqrt[12]{2^{10}}\)

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The value of x in the pentagon JKLMN is 7.2.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The pentagons ABCDE and JKLMN are similar.

when two figures have the same shape but their sizes are different, then such figures are called similar figures.

We need to find the value of x.

1/1.8=4/x

Apply cross multiplication

x=4×1.8

x=7.2

Hence, the value of x in the pentagon JKLMN is 7.2.

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Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

B and A

Step-by-step explanation:

Answer:

0.01145

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 x 4 - 5

= 7

The required output of the given function at x = 4 is given as f(x) = 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To evaluate output from the function f(x) = 3x - 5, at x = 4 we must put the value of x in the function:
f(4) = 3(4) - 5
f(4) = 7

Thus, the required output of the given function at x = 4 is given as f(x) = 7.

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Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer:

415 ÷ 3.4 = 122.058

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

they are x² and 3x

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

Evaluating Polynomials:

a. f(1) = -10  

b. f(-3) = -239  

c. f(2)² = 3125

Factoring Polynomials:

a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)  

b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)  

c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)  

A polynomial can be evaluated and factored by long division, factoring and synthetic division methods.

1. Evaluate polynomials

\(\mathbf{f(x) = x^4 - 7x^2 + 2x - 6}\)

Substitute 1 for x

\(\mathbf{f(1) = 1^4 - 7(1)^2 + 2(1) - 6}\)

\(\mathbf{f(1) = 1 - 7 + 2 - 6}\)

\(\mathbf{f(1) = -10}\)

\(\mathbf{f(x) = 10x^3 + 4x^2 - 5}\)

Substitute -3 for x

\(\mathbf{f(-3) = 10(-3)^3 + 4(-3)^2 - 5}\)

\(\mathbf{f(-3) = -270 + 36 - 5}\)

\(\mathbf{f(-3) = -239}\)

\(\mathbf{f(x) =x^4 + 5x^3 - 2x + 3}\)

Substitute 2 for x

\(\mathbf{f(2) =2^4 + 5(2)^3 - 2(2) + 3}\)

\(\mathbf{f(2) =16 + 40 - 4 + 3}\)

\(\mathbf{f(2) =55}\)

Square both sides

\(\mathbf{f(2)^2 =3025}\)

Hence, the results of evaluating the polynomials are \(\mathbf{f(1) = -10}\), \(\mathbf{f(-3) = -239}\) and \(\mathbf{f(2)^2 =3025}\)

2. Factor the polynomials

\(\mathbf{(x + 1)(x^2 - 5x + 6)}\)

Expand

\(\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x^2 - 2x - 3x + 6) }\)

Factorize

\(\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x(x - 2) - 3(x - 2) )}\)

Factor out x - 2

\(\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }\)

\(\mathbf{(x^2 - x - 6)(x^2 + 6x + 9)}\)

Expand

\(\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x^2 +2x - 3x - 6)(x^2 + 3x +3x + 9)}\)

Factorize

\(\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [x(x +2) - 3(x + 2)][x(x + 3) +3(x + 3)]}\)

Factor out x + 2 and x + 3

\(\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [(x - 3) (x + 2)][(x + 3)(x + 3)]}\)

Remove square brackets

\(\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}\)

\(\mathbf{x^3 + 3x^2 - 4x - 12}\)

Factorize

\(\mathbf{x^3 + 3x^2 - 4x - 12 = x^2(x + 3) - 4(x + 3)}\)

Factor out x + 3

\(\mathbf{x^3 + 3x^2 - 4x - 12 = (x^2 -4) (x + 3)}\)

Apply the difference of two squares

\(\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}\)

Hence, the results of factoring the polynomials are \(\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }\), \(\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}\) and \(\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}\)

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Answer:

can you ask the qustion better plz

Step-by-step explanation:

Answer:

8.96

Step-by-step explanation:

8×112:100 uh it t 8tc7tct8 it 7rct8 ig e6zw6 og ì ì og

Answer:

y = 20x + 200

Step-by-step explanation:

The 200 is the constant.  It is only added once, but the monthly deposits are added at 20 every month.  

After 1 month:

y = 20x + 200

y = 20(1) + 200

y = 20 + 200

y =220       money deposited.

After 2 months:

y = 20x + 200

y = 20(2) + 200

y = 40 + 200

y =240 money deposited.

After 3 months:

y = 20x + 200

y = 20(3) + 200

y = 60 + 200

y = 260  money deposited

And so on, and so on, and so on...

Answer:

qualitative

Step-by-step explanation:

Favorite rock group is the qualitative variable because it shows an attribute. It does not depict a quantity or numbers. The favorite rock group will perform and show their ability to deliver music articles so it is showing quality not quantity. It is an attribute.

Variable is defined as the characteristic being studied so it is a qualitative variable meaning it is showing quality of the characteristic.

Answer:

K,JHJKHUIK

Step-by-step explanation:

Answer:

\(4x - 6 + 2x - 4 = 2 + 3x \\ 4x + 2x - 3x = 2 + 6 + 4 \\ 3x = 12 \\ \\ x = \frac{12}{3} \\ \\ x = 4\)

I hope I helped you^_^

Answer:

4x-6+2x-4=2+3x

4x+2x-3x=2+6+4

6x-3x=12

3x/3=12/3

x=4