Graph the given function. Which key features apply to the graph? A. The graph has an asymptote at and is decreasing as x approaches positive infinity. B. The graph has an asymptote at and is increasing as x approaches positive infinity. C. The graph has an asymptote at and is decreasing as x approaches positive infinity. D. The graph has an asymptote at and is increasing as x approaches positive infinity.

Answer:

g(x) = f(x) - 5

Step-by-step explanation:

Answer for edgenuity

Answer:

A, g(x)=f(x)-5

Step-by-step explanation:

g(x) is 5 units lower than f(x) so -5  and inside the parentheses would mean moving on the x axis but it is five lower on the y axis of g(x)=f(x)-5 is correct.

The equation which represents the factored form of 4x² + 23x - 6 = 0 is (4x - 1) (x + 6) = 0.

Quadratic equations are polynomial equations for which the degree of the variable is 2.

The general form of a quadratic expression is ax² + b x + c = 0.

Given quadratic equation is 4x² + 23x - 6 = 0.

We have to factorize the equation.

4x² + 23x - 6 = 0

Factor this by grouping.

4x² + 24x - x - 6 = 0

(4x² - x) + (24x - 6) = 0

Take the common factors outside from each group.

x (4x - 1) + 6 (4x - 1) = 0

(4x - 1) (x + 6) = 0

Hence the factored form is (4x - 1) (x + 6) = 0.

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A) The mean of the original set is 1.8

B) if we add 10 to each element, the new mean is 11.8

C) If we double each element, the new mean is 3.6.

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is defined as:

M = (x₁ + x₂ + ... + xₙ)/N

In this case, the set is:

{2.4, 1.6, 3.2, 0.3, 1.5}

So we have 5 elements.

a) The mean is given by the equation below, so we will get:

M = (2.4 + 1.6 + 3.2 + 0.3 + 1.5)/5

M = 1.8

The mean is 1.8

b) If now we add 10 to each element we will get the set:

{12.4, 11.6, 13.2, 10.3, 11.5}

Then the new mean is:

M = (12.4 + 11.6 + 13.2 + 10.3 + 11.5)/5

M = 11.8

The mean also increased by 10.

c) Finally, if we double each number we will get:

{2*2.4, 2*1.6, 2*3.2, 2*0.3, 2*1.5}

{4.8, 3.2, 6.4, 0.6, 3}

Then the new mean is:

M = (4.8 + 3.2 + 6.4 + 0.6 + 3)/5

M = 3.6

Notice that the new mean is twice the original mean.

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The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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Answer:B

Step-by-step explanation:

so I guess is getting the area of both sectors, hmmm, ok, well, one sector is 101° and the other must be 259°, both have a radius of 2.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =101 \end{cases}\implies A=\cfrac{(101)\pi (2)^2}{360}\implies A\approx 3.53~m^2 \\\\[-0.35em] ~\dotfill\)

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =259 \end{cases}\implies A=\cfrac{(259)\pi (2)^2}{360}\implies A\approx 9.04~m^2\)

The four critical points of the function f(x, y) = xy(1-2x-4y) are (0, 0), (1/2, 0), (0, 1/4), and (1/6, 1/12).

To locate the important points of the function f(x, y), we want to find the values of x and y wherein the partial derivatives of f with admire to x and y are the same to zero:

fx(x, y) = y(1 - 2x - 4y) - 2xy = y - 2xy - 4y² = y(1 - 2x - 4y) = 0

fy(x, y) = x(1 - 2x - 4y) - 4xy = x - 2x² - 4xy = x(1 - 2x - 4y) = 0

the critical points of f(x, y) arise on the values of (x, y) that satisfy each of these equations. There are 4 cases to keep in mind:

case 1: x = 0, y = 0

fx(0, 0) = 0, fy(0, 0) = 0

this critical point is a saddle point. Case 2: x = 1/2 of, y = 0

fx(1/2, 0) = 0, fy(1/2, 0) = 0

this critical point is a saddle point. Case 3: x = zero, y = 1/4

fx(0, 1/4) = 0, fy(0, 1/4) = 0

this critical point is a saddle point. Case 4: x = 1/6, y = 1/12

fx(1/6, 1/12) = 0, fy(1/6, 1/12) = 0

this critical point is a local maximum. Therefore, the four important factors of f(x, y) are:

(0, 0), (1/2, 0), (0, 1/4), and (1/6, 1/12). And their respective sorts are:

the critical point (0, 0), (1/2, 0), and (0, 1/4) are saddle points. The critical point (1/6, 1/12) is a local maximum.

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Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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The linear equation representing the relationship between the number of paving stones left for Gerald to place, y, and the time, x, Gerald has spent working is 5x + y = 55.

A linear equation is always in the form of y = ax + b, where a is the slope and b is the y-intercept.

The slope, a, is given as (y2 - y1)/(x2 - x1).

(0, 55), (3, 40), and (7, 20)

Taking (3, 40) and (7, 20), the slope is determined as follows:

7 - 3 = 4

20 - 40 = -20

-20/4

= -5

In standard form, the linear equation is 5x + y = 55.

Thus, based on the linear equation above, we can conclude that the more time Gerald spends playing with the paving stones, the fewer stones he has to place.

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The scale factor is 4/5.

In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.

The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.

Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.

A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.

An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.

A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.

Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.

To find the scale factor, we can compare the ratios of the corresponding side lengths of the congruent triangles.

Scale factor = (corresponding side length in triangle FQX) / (corresponding side length in triangle CVI)

Let's first identify the pairs of congruent angles:

Angle FQX = angle CVI (both are right angles)

Angle XQF = angle ICV (corresponding angles)

Angle FXQ = angle CVI (corresponding angles)

Now let's write the ratios of the corresponding side lengths in a proportion:

FQ / CV = QX / VI = XF / IC

Substituting the given values, we have:

28 / 35 = 36 / 45 = 24 / 30

Simplifying each fraction, we get:

4 / 5 = 4 / 5 = 4 / 5

Therefore, the scale factor is 4/5.

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Answer:12 gallons

Step-by-step explanation:

There are 16 cups in a gallon 16 cups =1 gallon so 192/16 is 12

Answer:

12 gallons

Step-by-step explanation:

To convert cups to gallons you must divide the volume (192) by 16.

192/16 = 12

12 gallons

Hope this helps:)

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer

I gotchu. The answer I got is 15.9235 or 16

Step-by-step explanation:

So the formula for circumference is Pi times diameter. (If I remember right) Now we can flip this equation to become Circumference divided by pi. This will give us our answer. I dunno if you have to round so here are my two answers.

16 (rounded) or  15.9235 :)

Answer:

a very weak relationship between cost and volume

Step-by-step explanation:

The R factor is used to access the strength of the relationship between a dependent and independent variable. The R factor ranges between - 1 and 1. With negative values depicting a negative linear relationship and positive values meaning a positive relationship. The closer the R factor is to - 1 or + 1, the greater the strength, a value of 0 means, no correlation exists.

Hence, a R factor of 0.15 depicts a positive but very weak relationship between cost and volume as the R value is close to 0.

Answer:

The three consecutive POSITIVE ODD integers are: 3, 5 and 7

Step-by-step explanation:

If x is an integer, then there consecutive positive odd integers are:

x , x + 2, x + 4 are three consecutive integers.

Where

First integer, a = x

Second integer, b = x + 2

Third integer, c = x + 4

We are told to:

Find three consecutive POSITIVE ODD integers such that when you multiply the first and third the result is nine less than six times the second integer.

Hence, this is represented as:

a × c = 6(b) - 9

Where

a = x

b = x + 2

c = x + 4

x (x + 4 ) = 6(x + 2) - 9

x ² + 4x = 6x + 12 - 9

x² +4x - 6x - 12 + 9= 0

x² - 2x - 3 = 0

Factorising

x² +x - 3x - 3 = 0

x (x + 1) -3(x + 1) = 0

(x - 3) (x + 1) = 0

x - 3 = 0

x = 3

x + 1 = 0

x = -1

Since, x cannot be negative for this question, x = 3

First integer, a = x = 3

Solving for:

Second integer, b = x + 2

b = 3 + 2 = 5

Solving for :

Third integer, c = x + 4

c = 3 + 4 = 7

Therefore, the three consecutive POSITIVE ODD integers are: 3, 5 and 7

Answer:

-18  bvhbdhbgdjd

Step-by-step explanation:

fgjfgfkgkdfhgkjdvn cjkvb

makes sense mostly if you know this algorithm

Answer:

7.6m

hope this helps :)

The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Answer:

x=10

Step-by-step explanation:

add al the numbers that are alike so xes with xes blah blah

17x+10=180

-10 both sides

17x=170

divide 17 both sides

check

5(10)=50-1=49

80+5=85

40+6=46

49+85+46=180

Answer:

It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest

Step-by-step explanation:

Answer:

I don't get it the two triangles look the same

Step-by-step explanation:

Answer:

y = 225(x)

Step-by-step explanation:

Given:

Cost per night = 225

Total cost = y

Number of nights = x

Computation:

Total cost = (Cost per night)(Number of nights)

So,

y = 225(x)

The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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The percentage of information that is remembered by a particular person after one year (52 weeks) is 20%

The function f(x)=80e-0.5x+20 describes the percentage of information that a particular person remembers after x weeks.

To find the percentage of information that is remembered by a particular person after one year (52 weeks), we need to substitute x=52 in the given f(x).

f(x)=80\(e^{-0.5x}\)+20

x=52, f(52)= 80\(e^{(-o.5\times 52)}\)+20

       =80\(e^{-26}\)+20

       =80(5.109 \(E^{-12\))+20

       = 4.087\(E^{-20}\)+20

f(52)= 20

The percentage of information that is remembered by a particular person after one year (52 weeks) is 20%

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