In Exercises 7-8, find the domain of the function.

7. f(x) = x-5/x + 2

8. h(x) = 4x²

Answers

Answer 1

On solving the provided question, we can say that - the value of the function is = x-5/x + 2 => x= 2  => -3/4

what is function?

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

x-5/x + 2

x= 2

-3/4

ans also  4x² = 4 *2*2 = 16

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Related Questions

-15 POINTS-
What’s the length of GH

Answers

Answer = 22

To find the length of GH find the distance from G to 0 and 0 to H. The distance from -14 to 0 is 14 and the distance from 0 to 8 is 8. Add these distances since they make the distance of GH like 14 + 8 = 22.

Solve Using substitution 3x+5y=-28 Y=x+4

Answers

Answer:

(-6, -2) x=-6, y=-2

Step-by-step explanation:

3x + 5(x+4) = -28

3x + 5x+20=-28

8x+20=-28

8x=-48

x=-6

Y=-6+4

y=-2

The physician orders 3 mg/kg of medication twice a day. The patient’s weight is 315 lb. How much medication does the patient receive each day?

Answers

Answer: To find out how much medication the patient receives each day, you need to determine the patient's weight in kilograms and then calculate the total dosage per day.

You can convert the patient's weight from pounds (lb) to kilograms (kg) by dividing the weight by 2.2.

So,

315/2.2 = 142.72 kg

Next, we can use this weight to determine the dosage per day:

3 mg/kg * 142.72 kg = 428.16 mg

Now, since the physician ordered twice a day, we will multiply the dosage per day with 2:

428.16 mg * 2 = 856.32 mg

So the patient receives 856.32 mg of medication each day.

Step-by-step explanation:

A system of linear equations with an infinite number of solutions is a(n).
_____system.

Answers

Answer:

It means that if the system of equations has an infinite number of solution, then the system is said to be consistent.

Answer: Dependent
A system of linear equations with an infinite number of solutions is a(n) Dependent System.

Nataliah can read 160 words per minute. Let w represent the total number of words
Nataliah reads, and let m represent the number of minutes she spends reading. Create a
table and a graph to show how many words Nataliah will read from 1 to 5 minutes. Don't
forget to label your axes.

Answers

Please review the analysis for the dependent and independent variables. Equation: The total probability for the number w=160 m on the chart is 160 m.

What is the probability ?

Equation w=160 m.w (words) equals 160 words in the first minute and 320 words in the next two minutes. 800 words in five minutes, 480 words in three minutes, and 640 words in four minutes. The probability of A or B is equal to p(A or B) = p(A) + p(B) if occurrences A and B are mutually exclusive (B).

The steps listed below can be used to determine an event's likelihood: Step 1: Identify an event that has only one outcome. Step 2: Compile a list of all potential outcomes, including any positive ones. Step 3: Subtract the number of favourable outcomes from the total number of outcomes that are feasible. A probability is a number that expresses the possibility or likelihood that a specific event will take place.

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which of the expressions below has a 6 in the tenths place if the difference a) 17.45 - 8,81 b) 12.35 - 1.76 c) 5.78 - 2.16 d) 19.34 - 1.69

Answers

It’s b i know bc i took a test on it

A construction company is building a fence that is 1 1/3 miles long. They can building the fence 1/6 Mile every hr. How long to build the fence?

Answers

The time to build the fence will be 10 hours.

How to calculate the time?

The fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since construction company is building a fence that is 1 1/3 miles long and they can building the fence 1/6 Mile every hr.

The time to build the fence will be:

= 1 1/3 ÷ 1/6

= 5/3 × 6/1

= 30 / 3

= 10 hours.

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7.89 divided by 2 step by step

Answers

Answer:

3.945

Step-by-step explanation:

7X -6Y=-3 what is the slope of the parallel and perpendicular line

Answers

Answer:

parallel: 7/6perpendicular: -6/7

Step-by-step explanation:

You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.

Slope

The slope is the x-coefficient when the equation is in slope-intercept form:

  y = mx +b

Solving for y gives ...

  -6y = -7x -3

  y = 7/6x +1/2 . . . . . divide by -6

The slope of the given line is 7/6.

Parallel

A parallel line will have the same slope: 7/6.

Perpendicular

A perpendicular line will have opposite reciprocal slope: -6/7.

Statement of stockholders' equity
The revenues and expenses of Paradise Travel Service for the year ended May 31, 206, follow:
Fees earned
$900,000
Office expense
300,000
Miscellaneous expense
15,000
Wages expense
450,000
Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common June 1, 205.
Prepare a statement of stockholders' equity for the year ended May 31, 206.
Paradise Travel Service
Statement of Stockholders' Equity
For the Year Ended May 31, 206
Common Stock Retained Earnings
Balances, June 1, 20Y5
60.000
300,000 V
Issued common stock
40,000
1♥
Net income
I x
Total
$ 360.000
V
40.000
V
Dividends
0
10,000
10.000

Answers

When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.

What is the formula for stockholders equity?

After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.

Total Assets - Total Liabilities = Shareholders' Equity

The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.

SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.

The complete question is:

Statement of stockholders' equity

The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:

Fees earned $900,000

Office expense 300,000

Miscellaneous expense 15,000

Wages expense 450,000

Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.

Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.

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When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.

What is the formula for stockholders equity?

After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.

Total Assets - Total Liabilities = Shareholders' Equity

The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.

SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.

The complete question is:

Statement of stockholders' equity

The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:

Fees earned $900,000

Office expense 300,000

Miscellaneous expense 15,000

Wages expense 450,000

Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.

Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.

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I don’t understand this ssshh

Answers

After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given that ,

7/ 8  * 14  / (3/8 * 6 ) + 2  1/5

= (7/8 * 14 )/ ((18 / 8) + 11/5)

= (98/ 8 ) / (90 + 88) / 40

= (98/ 8 ) /  (178/ 40)

= (98 * 40) / (8* 78)

= 245/89

Hence the final value could be 245/53.

7/ 8  + (6*7/8 - 4 * 3/16 ) / (3/4 )

(7/8 + (21/4 - 3/4 ) )  / (3/4)

(7/8 + 18/4)  / (3/4)

(43/8) / (3/4)

43/6

Hence the final value could be 43/6.

3  1/7  * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)

11/7 * (10/6 - 5/18) / (17/7)

(11/7 )* (27/ 18) /( 17/7)

(11* 27/18 )/ (17)

33/34.

Hence the final value could be 33/34.

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Use the long division method to find the result when 4x^3+13x^2+17x+8 is divided by x+1

Answers

Step-by-step explanation:

please refer to the sketch

Find the product.
(6a² + 4b) (a²- b)

Answers

On solving the provide question, we can say that - the quadratic equation [tex](6a^2 + 4b)(a^2 - b)[/tex] = -4

What is quadratic equation?

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here, we have

[tex](6a^2 + 4b)(a^2 - b)[/tex]

a = 0 and b = 1

-4

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please please help so desperate

Answers

Answer:

The objective of the PACER is to run as long as possible while keeping a specified pace. Students run back and forth across a 20-meter space at a pace that gets faster each minute. A point is scored for each 20-meter distance covered. The test is easier in the beginning but progressively gets more difficult.

Step-by-step explanation:

What is the equation of the line that passes through the point (7, -4) and has an
undefined slope?

Answers

Undefined slope = no x

y = mx + b

y = -4

-15 POINTS- Find the length of the indicated side of the similar figure X=[?]

Answers

X = 5

I found it by comparing the large triangle with the small triangle

4:12
1: 3

So i said if the sides are 1:3 , x:15 has to be 5:15

Hope it helps

T:
Change each denominator to the given denominator. Check if the domain changed.
If yes, state the changes.
12
y = x
x-y
to a denominator of x - y
The domain of the expression

Answers

The new expression is -12/(x - y) and the domain is x ≠ y

How to change the denominator?

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

12/(y - x)

Multiply the fraction by 1

So, we have the following representation

12/(y - x) * 1

Express 1 as -1/-1

This gives

12/(y - x) * -1/-1

So, we have

-12/(x - y)

It should be noted that the domain remains the same

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Help Please!!!!!!!!!​

Answers

Answer:

what's the question?

Step-by-step explanation:

There is a pair of parallel sides in the following shape.

Answers

Answer:

A = 38.5 units²

Step-by-step explanation:

the figure has one pair of parallel sides and is therefore a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

b₁ and b₂ are the parallel bases and h the perpendicular height between them.

here h = 7 , b₁ = 5 , b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 7 × (5 + 6) = 3.5 × 11 = 38.5 units²

Can someone solve this please

Answers

Answer:

u=37

Step-by-step explanation:

u+41= u+4 + u (sum of 2 interior angles is equal to exterior angle)

u+41= 2u+4

2u-u= 41-4

u=37

Just before a referendum on a school​ budget, a local newspaper polls 417 voters to predict whether the budget will pass. Suppose the budget has the support of ​54% of the voters. What is the probability that the​ newspaper's sample will lead it to predict​ defeat?

Answers

Answer:

The probability here is 62%

The probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Let X be the number of voters in the sample who do not support the budget (i.e., who will vote against it). Then X follows a binomial distribution with parameters n = 417 (the sample size) and p = 1 - 0.54 = 0.46 (the probability that a voter does not support the budget).

The probability that the sample will lead the newspaper to predict defeat is the probability that X is greater than half the sample size (since the budget will be defeated if more than half of the voters in the population vote against it). In other words, we need to calculate:

P(X > 0.5n) = P(X > 0.5 × 417) = P(X > 208.5)

We can use a normal approximation to the binomial distribution to estimate this probability. The mean of the binomial distribution is np = 417 × 0.46 = 191.82, and the standard deviation is √(np(1-p)) = √(417 × 0.46 × 0.54) = 10.04.

To apply the normal approximation, we standardize the random variable X as follows:

Z = (X - np) / √(np(1-p))

Then we can use a standard normal distribution table or calculator to find the probability:

P(X > 208.5) = P(Z > (208.5 - 191.82) / 10.04) = P(Z > 1.65) ≈ 0.0495

Therefore, the probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

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What is the value of m in the figure below? If necessary , round your answer to the nearest tenth of a unit

Answers

Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.

What are similar triangles?

Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.

From the concept of the similar triangle,

3/BD = BD/12

BD² = 12 × 3

BD² = 36

As triangle BDC is a right-angled triangle, use Pythagoras' theorem

m² = BD² + 3²

m² = 36 + 9

m² = 45

m = √45

m = 6.708

m ≈ 6.71

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please help !!!!!!!!

Answers

8.96848786347

i think this should be right i did it with my 5th grade math skills and dont wory i have an a+

Yoga Common Core Performance Assessment_ Regina takes yoga classes 2 days a week at the community center. The cost for the classes is $72, and Regina pays an additional one-time fee of $12 to rent the yoga equipment used in class. The classes run for 6 weeks. The local gym offers the same yoga program, including equipment, for $8 a class. Is Regina paying more or less than what the local gym charges for yoga classes?​

Answers

On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

cost for the 12 classes = $72

cost of 1 unit = $6

cost of 9 units = $54

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If 1 US Dollar is worth 0.80 Euros, how many US Dollars is 1 Euro worth?

Answers

search in to find answer

Solve the system of linear equations by graphing. Y=-3 and 6x +y=3

Answers

Answer is solution coordinate ( 1, -3)
Where the two lines cross

Step by step

The two equations were graphed, see attached. The point where the two lines cross is the solution, ( 1, -3)

Write the word sentence as an equation.

11 3/4 is the quotient of a number y and 6 1/4


An equation that represents this sentence is ?

Answers

The equation that represents the sentence is y ÷ 6₄¹ = 11₄³

What is quotient?

The word quotient is the outcome when dividend is divided by a divisor.

The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.

The number that is divided by other number is called dividend and this other number is called divisor.

Write the word sentence as an equation given in question?

11³₄ is the quotient of a number y and 6¹₄.

47/4 is the quotient of a number y and 25/4

hence, y is the dividend and 25/4 is the divisor

y ÷ 25/4 = 47/4

y × 4/25 = 47/4

y = 1175/16

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Change this radical to an algebraic expression with fractional exponents.

3√a

Answers

The fractional form of the expression [tex]\sqrt[3]a[/tex] is [tex]a^{\frac{1}{3}[/tex]

What are surds and indices?

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Given, A radical expression [tex]\sqrt[3]a[/tex].

We know this describes the cube root of a or one-third root of a.

This can be written as a fractional exponent as [tex]a^{\frac{1}{3}[/tex].

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

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Suppose f is a function. If f(6) = -9, give an ordered pair of numbers that is a solution of the function.

Answers

The ordered pair solution to the function f(x) is (6, -9) because f(6) = -9,

What is an equation?

An equation is an expression relating numbers and variables.

A function is a rule that defines the relationship between the dependent and independent variable. Dependent variables are variables that depends on others variable while independent variables are variables that does not depends on others variable

A solution to a function is the values of the variable that makes the equation true.

Given the function f(x) have solution of f(6) = -9. The ordered pair is (6, -9)

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Solve each equation if [tex]f (x) = 2x^{2} - 2[/tex] and [tex]g(x) = 6x + 3[/tex]

Answers

a) Given: f(x)=2x^2-2 Find: f(3)

f(3)= 2(3)^2-2 => 18-2 => 16

Ans: f(3)=16

b) Given: g(x)=6x+3 Find: x when g(x)=48

48=6x+3 => 45=6x => x=45/6 => x=15/2

Ans: 15/2

c) Given: g(x)=6x+3 Find: g(1/3)

g(1/3)=6(1/3)+3 => 2+5 => 7

Ans: g(1/3)=7
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Which of the following effectively paraphrases paragraph 5?An honor system as a way to judge a competition seems silly and leaves the contest open to birders being able to claim they've seen more species thanthey haveOIt is pretty hard to cheat in the competition, and most birders take great pride in their reputation and their abilities to see and hear a bird.O Participants in the Big Year competition take the contest so seriously that few question the submissions despite there being no requirement of photo orvideo evidence.The birds the contestants are counting are the number they see in a particular years Otaking responsibility for one's actionsO taking care of one's children.Odisobeying the gods to follow one's pathOdisobeyingthe rules to achieve one's goals what is the first step in hand washing procedure What two elements of culture interact to produce anomie and/or anomic conditions?A) informal social control and public social controlB) middle-class measuring rods and educational underachievementC) culturally defined goals and socially approved means for obtaining themD) community cohesiveness and collective efficacy when both the inside rearview mirror and the outside rearview mirrors are adjutsed properly, the right blind spot and the smaller blind spot to the left will effective when sending a single message to several recipients and when needing to communicate 24 hours a day, 365 days a year. At a coffee shop, the first 100customers' orders were as follows.SmallMediumLargeHot54822Cold8125What is the probability that a customer ordered ahot drink given that he or she ordered a large?P( Hot Large ) = [?]Round to the nearest hundredth If a_1=7a 1 =7 and a_n=a_{n-1}+5a n =a n1 +5 then find the value of a_5a 5 8210Can you please help me find it? 100 POINTS, Which belief did Thomas Jefferson have? A strong national government is necessary to prevent internal rebellions. Tariffs should protect American manufacturing. A national bank will strengthen the nation. 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Find Delta S for the formation of 1 mole of PCl5(g) from its elements.____ J/K (m - 7m - 11) (m-8)By diving polynomials Schools also censor by prohibiting some articles to be printed in student newspapers. Approximately 74 percent of high schools in the United States offer student newspapers or journalism programs. Student publications are a safe venue where adolescents can express their opinions. These programs are often run by students and overseen by teachers and other adults at the school. Before articles are printed, they usually go through an editing and review process. Although this is a normal part of the publication process, it can sometimes lead to censorship. There have been many cases where portions of the text or entire articles have been removed from school newspapers for being inappropriate. A famous Supreme Court case involving this issue occurred in 1988 in Hazelwood v. Kuhlmeier. The principal of Hazelwood East High School prohibited two topics from being printed in the school newspaper. Hazelwood East students brought the case to court, arguing that their First Amendment right to free speech had been violated. In this case, the court ruled that the principal did not violate the students free speech right. The court pointed out that the school newspaper was not a "public forum," and that, therefore, students did not have the same First Amendment rights as other journalists. Many people were outraged by this decision and continue to fight censorship in school newspapers.What is the intended purpose of this section of the passage?