The function f(x) is shown in the graph.

Graph in two parts. Part one is increasing from negative infinity in quadrant three to pass through negative 3 comma negative 2 and negative 1 comma 2 and continues increasing upward in quadrant two. Part two is increasing from negative infinity in quadrant 4 and passes through 1 comma negative 2 and 3 comma 2, then continues increasing upward to the right in quadrant one.

Which type of function describes f(x)?

Exponential
Logarithmic
Rational
Polynomial

Answers

Answer 1

The type of function that describes function f(x) is given as follows:

Rational function.

How to identify the type of function?

The four types of functions are given as follows:

Exponential function.Logarithmic function.Rational function.Polynomial function.

These functions are identified as follows from their graphs:

Exponential function: only an horizontal asymptote.Logarithmic function: only a vertical asymptote, but with a domain of only positive valuesRational function: can have both vertical and horizontal asymptotes.Polynomial function: no asymptotes.

From the graph given by the image at the end of the answer, the features are given as follows:

Vertical asymptotes.Domain of all real values.

Hence the function is a rational function.

Missing Information

The graph of the function is given by the image shown at the end of the answer.

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The Function F(x) Is Shown In The Graph.Graph In Two Parts. Part One Is Increasing From Negative Infinity

Related Questions

Garrick and Zan are measuring the heights of seedling plants for science class.

Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.

Answers

The complete statements are

Garrick's plant is shorter than Zan's plant, each millimetre of error results in a 11.11% percent error.Garrick's measurement was 2 millimetres off and Zan's was 12 millimetres off. Garrick's measurement was 20% off and Zan's was 12% off.

How to complete the statements?

The complete question is added at the end of this solution

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

Garrick's plant:

Actual height = 10 mmMeasured height = 8 mm

Zan's plant:

Actual height= 100 mmMeasured height = 88 mm

Garrick's plant is shorter than Zan's plant and the difference in heights is

Actual difference = 100 mm - 10 mm = 90 mm

Measured difference = 88 mm - 8 mm = 80 mm

The percentage errors are calculated using

Percentage errors = Difference/Actual measurement * 100%

So, we have

Garrick's actual error = (10 - 8)/10 *100% = 20%

Zan's actual error = (100 - 88)/10 * 100% = 12%

Hence, Garrick's measurement was 20% off and Zan's was 12% off.

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How do you remove split infinitives?

Answers

To get rid of the split infinitive move the term that separates the infinitive from the split position.

In the given question we have to explain, how we remove split infinitives.

As we know that,

Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.

When an adverb is inserted between the word "to" and the infinitive verb, a split infinitive results. Move the term that separates the infinitive from the split position to get rid of the split infinitive.

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Can you solve for 3 variables with 3 equations?

Answers

Yes, three equations are needed to find the values of three variables. Then only it will have a unique solution. The  solution of three variable equation is also known as the ordered triple.  

There must be 3 equations, If there are 3 variables.

Lets consider  A,B,C as our equations and x, y, and z as the variables.

We will now follow these following steps:

1) By using C, first write z in terms of x and y. Then, Replace z with its equivalent in B.

2) Then write y in terms of x.

3) In A, replace y with its equivalent and replace z with its equivalent then solve A for x. Now you should know the value of x. You should have written y in terms of x so plug x and you will find y.

4)Finally, you should have written z in terms of x and y so you can find the value of z.

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find each angle measure to the nearest degree cos C= 0.7193

Answers

Answer: c≈44°

Step-by-step explanation:

cos(c)=0,7193

c=arccos(0.7193)

c≈44°

Elizabeth has half as many CDs as Jennifer. Which equation would represent the number of CDs that Jennifer has? (Let e = the number of Elizabeth's CDs and j = the number of Jennifer's CDs.)

a) 1/2e = j

b)2e = j

c)2j = e

d)1/2 + j = e​

Answers

it's A

Step-by-step explanation:

i can feel the changes... i am going to gorge my eyes out :)

PLEASE HURRY The function, f(x), gives the train fare, in dollars, for a child who is “x” years old based on these rules:
-free for children under 5
-$5 for children who are at least 5 but younger than 11
-$7 for children who are at least 11 but younger than 16
Graph this piecewise function

Answers

The Piecewise function is

f(x) = [tex]\left \{ \right.[/tex] 0,    x<5

          5,     5<x<11

          7,      11<x< 16

What is Piecewise Function?

A function that is defined piecemeal is one that has numerous subfunctions, each of which applies to a distinct interval in the domain. Instead of being a property of the function itself, piecewise definition is a means to express the function.

A piecewise function is a function that is constructed from bits of various functions across various time intervals.

Given:

let x be the age of person.

We have,

free for children under 5$5 for children who are at least 5 but younger than 11$7 for children who are at least 11 but younger than 16

let f(x) represents the piecewise function

f(x) = [tex]\left \{ \right.[/tex] 0,    x<5

          5,     5<x<11

          7,      11<x< 16

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Which is the last sentence of the proof? because f e = 1, a2 b2 = c2. because f e = c, a2 b2 = c2. because a2 b2 = c2, f e = c. because a2 b2 = c2, f e = 1.

Answers

The last sentence of the proof is Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex]. Hence, option b is the correct answer to this question.

We have that △ABC and △CBD are right-angled triangles.

We have to prove [tex]a^{2} + b^{2} = c^{2}[/tex].

We are given the proof too.

Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA.

Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA.

The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as

[tex]a^{2}[/tex] = cf and [tex]b^{2}[/tex] = ce.

Adding [tex]b^{2}[/tex] to both sides of the first equation, [tex]a^{2}[/tex] = cf, which results in the equation [tex]a^{2} + b^{2} = cf +b^{2}[/tex].

Because [tex]b^{2}[/tex] and ce are equal, ce can be substituted into the right side of the equation for [tex]b^{2}[/tex], resulting in the equation [tex]a^{2}+b^{2}[/tex] = cf + ce.

Applying the converse of the distributive property results in the equation  [tex]a^{2}+b^{2}[/tex]= c(f + e).

Now Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex] .

Hence, the last sentence of this proof is Because f+e=c, [tex]a^{2} + b^{2} = c^{2}[/tex].

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The complete question is -

Which is the last sentence of the proof?

a. Because f + e = 1, [tex]a^{2} + b^{2} = c^{2}[/tex].

b. Because f + e = c, [tex]a^{2} + b^{2} = c^{2}[/tex].

c. Because [tex]a^{2} + b^{2} = c^{2}[/tex], f + e = c.

d. Because [tex]a^{2} + b^{2} = c^{2}[/tex], f + e = 1.

Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).

Answer: option b

Step-by-step explanation:

If you wanted information about a population, it could be impossible to ask everyone. One way to avoid asking everyone is to take a sample. There are many ways to take a sample, including a random sample.

Why might it be important to small subgroups of populations that you use a random sample?

The subgroup can be those who differ from the majority because of physical, ethnic, religious, or other differences. Include an example of a real-life situation that involves a subgroup that supports your response.

Read and reply to another student's post. Your reply should include questions and comments that add to the discussion. For example, you might point out additional reasons that subgroups benefit from random sampling, or how other subgroups might benefit in similar ways to those discussed in the post.

Answers

straightforward random sampling With simple random sampling (SRS), each sampling unit of a population has an equal chance of being included in the sample.

What is simple random sampling?In other words, by looking at a smaller sample, you can draw conclusions about a larger population. To find trends in a variety of fields, including business and finance, statistical analysis is frequently utilized. Findings from statistical research can be used by people to improve the decisions they make with regard to their finances, enterprises, and investments.Simple random samples are a common place for researchers to start. As a result, they are able to statistically analyze a sample of people drawn from a larger population or group to get a rough idea of how the entire group will respond.Both pros and cons apply to this research methodology. In this article, we present a brief description of simple random sampling and highlight its benefits and drawbacks.A simple random sample is one of the techniques researchers employ to select a sample from a bigger population.If there is an equal likelihood that any subject will be selected from a population, this strategy will work.In order to draw general conclusions about a group, researchers choose basic random sampling.The simplicity and impartiality of it are two major benefits.Time, money, and the fact that bias may still exist are some of the drawbacks. Another is the difficulty of obtaining a list of a wider population.

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an information technology company claims that a certain model of laptops have mean battery capacity of 5 hours. a consumer report firm wants to show that the actual mean is smaller than the company claims. what should be the null and alternative hypotheses? group of answer choices : versus : : versus : : versus :

Answers

Null Hypothesis: The actual mean is equal to the company's claim of 5 hours.Alternative Hypothesis: The actual mean is less than the company's claim of 5 hours.

Null and alternative hypotheses are applied for evaluating statistical theories. In contrast to the null hypothesis, which is a test's default assumption, the alternative hypothesis indicates how your research anticipates an effect or link between variables.

Null hypothesis: The null hypothesis states the expected outcome. In the given situation, the expected outcome is that the actual mean is equal to the company's claim of 5 hours.The alternate hypothesis conveys the null hypothesis' complete opposite.In this case, the alternative hypothesis is that the actual mean is less than the company's claim of 5 hours.

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Find the values of x and y.

Answers

The value of x is 5.

The value of y is 40°.

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

A composite figure that has three triangles.

Two equilateral triangles.

One isosceles triangle.

We see that,

Both equilateral triangles have the same sides and the same angles.

5x - 1 = 24

5x = 24 + 1

5x = 25

x = 5

We see that,

Let the opposite angle of 6y° = m

6y° + 60 + 60 + m = 360

6y + 120 = 360

6y = 360 - 120

6y = 240

y = 40°

Thus,

x = 5 and y = 40°

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two numeric variables x and y exhibit a negative correlation if a. the value of y tends to decrease as the value of x decreases. b. the value of y tends to increase as the value of x decreases. c. the value of y tends to increase as the value of x increases. d. the values of x and y always have the same difference.

Answers

If x and y are two numerical variables, they will have a negative correlation. As the value of x declines, the value of y tends to do the same.

Statistics uses the terms correlation or dependency to describe any statistical relationship between two random variables or bivariate data, regardless of whether it is causal or not. When two variables are negatively correlated, one drops when the other grows.Therefore, if the value of x decreases, the value of y will decrease as well.A negative correlation between x and y means that when x increases, y decreases, and when x decreases, y also decreases. This is expressed by the formula y = -x.

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PLEASE HELP‼️‼️‼️ TRIGONOMETRIC FUNCTIONS‼️‼️‼️

Answers

Sides of the given Right angle Triangle are 7.5,12.5,10.

What are basic theorems of Right angle Triangle?

The Pythagoras Theorem defines the relationship between a triangle's perpendicular, hypotenuse, and base. The right-angled triangle theorem is another name for this. The Pythagoras theorem states that a triangle is said to be right-angled if the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be said in the following way:

If Angle equals 90° then Hypotenuse = Perpendicular∧2+ Base∧2.

The base is the side that the right angle is connected to, the neighboring side of the right angle is connected to the hypotenuse by the perpendicular, and the side that the angle is opposite to is known as the hypotenuse. The legs of the hypotenuse are another name for the base.

Calculation:

Given

Tan(B) = [tex]\frac{3}{4}[/tex]=[tex]\frac{NE}{BE}[/tex]

⇒BE=10;

NB^2=NE^2+BE^2;

⇒NB^2=156.25

⇒NB=12.5

Sides of the given Right angle Triangle are 7.5,12.5,10.

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Last week cam's ice cream shop sold 525252 chocolate chip ice cream cones out of a total of 997997997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone?.

Answers

The probability that next ice cream cone sold is a chocolate chip ice cream cone is 0.052. The result is obtained by dividing the chocolate chip ice cream cone sold by the total ice cream from the previous week data.

What is probability?

Probability is a numerical description of how possible an event to happen. Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample

The previous week data shows that

The number of chocolate chip ice cream cones, n(A) = 52The number of ice cream cones, n(S) = 997

To estimate the probability that will happen in the future, we use the data happened in the past.

The probability that the ice cream cone sold for chocolate chip variant is

P(A) = n(A) / n(S)

P(A) = 52 / 997

P(A) = 0.052

Hence, the probability of next selling a chocolate chip ice cream cone is 0.052.

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Answer: 52/997

Step-by-step explanation: I checked on khan

9) y=3x+1
y=1/3x + 1

Answers

Answer:

y = 3 ; x = -3

Step-by-step explanation:

[x + 1 x y = 1/3x + 1] y = 3

SUBSTITUTE

[ x + 1 x 3 = 1/3x + 1

SIMPLIFY

[ x + 3 = 1/3x + 1]

ISOLATE X FOR X + 3 = 1/3X + 1: X = -3

Find the Value of sin180

Answers

the value of sin180 is 0

6a+4 when a=1/3

And

5a-2/3

Answers

6 and 1 are the answers.

Step-by-step explanation:

1.6a+4 when a=1/3 is 6

2.5a-2/3=0.133

RIP BRO

Which integer represents the following situation:
The scuba diver is 30 feet below sea level.

Question 3 options:

A: -3


B: 33


C: 30


D: -30

Answers

Answer:

D. -30

Step-by-step explanation:

Let's say 0 is sea level. If the diver is 30 feet below 0, then they would by 30 below 0, or -30.

solve compound inequality -3a<6 or a-5<-2

Answers

The simplified form of the compound inequality - 3a < 6 Or a - 5< - 2

is a > 3 Or a < 3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, - 3a < 6 Or a - 5< - 2.

∴ 3a > 6  Or a < - 2 + 5.

a > 6/3 Or a < 3.

a > 3 Or a < 3.

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i need helpplsssssssssssssssssssssssssssssss−28+15=

Answers

Answer:

-13???

Step-by-step explanation:

Answer: −28+15=-13

Step-by-step explanation: -28 + 15 = -13

The number of pages cameron reads varies directly with time in minutes. He can read 15 pages in 60 minutes. What is the constant of proportionality for the number of minutes to read 1 page.

Answers

The constant of proportionality is 0.25

What is Unitary Method ?

Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.

According to the given information

Applying Unitary Method

Pages have a direct relationship with time.

N ∝ t

N = k × t

k is constant of proportionality

Time taken to read 15 pages = 60 minutes

Time taken to read 1 page = [tex]\frac{15}{60}[/tex]

                                            = 1/4

1/4 is constant of proportionality

k = 0.25

The constant of proportionality is 0.25

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Paula bought a ski jacket on sale for $4 less than half its original price. She paid $89 for the jacket. What was the original price?

Answers

The original price was $186

In AABC and ADEF, mZA = 68°,
m/C= m/F = 59°, mZE = 53°, and
AB = DE = 8 units. Can you prove that
AABC = ADEF? If so, write a proof. If not,
explain why not.

Answers

Answer:

It is impossible to prove that AABC = ADEF with the information given. In order for us to prove that these two figures are congruent, we would need to know the measures of all the angles in both figures and the lengths of all the sides. Since we only have the measures of some of the angles and the lengths of two sides, we cannot prove that the figures are congruent.

PLEASE HELP ME
im stuck on it

Answers

The completed two-column table used to prove that ΔSUV ≅ ΔTVU, can be completed as follows;

        Statements         [tex]{}[/tex]                        Reasons

1.    [tex]\overline{SU}[/tex] ≅ [tex]\overline{TV}[/tex]                                         Given

2.   ∠TSU ≅ ∠STV [tex]{}[/tex]                               Given

3.   [tex]\overline{UV}[/tex]║[tex]\overline{ST}[/tex]        [tex]{}[/tex]                                  Given

4.   ∠TSU ≅ ∠SUV[tex]{}[/tex]                               Alternate Interior Angles Theorem

5.   ∠TVU ≅ ∠STV[tex]{}[/tex]                               Alternate Interior Angles Theorem

6.   ∠STV ≅ ∠SUV [tex]{}[/tex][tex]{}[/tex]                              Transitive Property of Congruence

7.   ∠TVU ≅ ∠SUV[tex]{}[/tex]                               Transitive Property of Congruence

8.    [tex]\overline{UV}[/tex]    ≅ [tex]\overline{UV}[/tex]                               [tex]{}[/tex]    Reflexive Property of Congruence

9.    ΔSUV ≅ ΔTVU         [tex]{}[/tex]                    SAS                            

What are congruent triangles?

Two triangles such  as ΔSUV and ΔTUV are congruent when the three sides of triangle ΔSUV are congruent to the three sides of triangle ΔTUV.

The details of the reasons used to prove the congruency of the triangles are as follows;

Alternate Interior Angles Theorem

The alternate interior angles theorem states that the alternate interior angles formed by two parallel lines, such as [tex]\overline{UV}[/tex] and [tex]\overline{ST}[/tex] and their common transversals, [tex]\overline{TV}[/tex] and [tex]\overline{SU}[/tex], are congruent.

Transitive Property of Congruence

The transitive property of congruence states that two shapes are congruent to themselves if both shapes are congruent to a third shape.

Reflexive Property of Congruence

The reflexive property of congruence states that a shape, line, or angle is congruent to itself.

SAS

SAS, is an acronym for Side-Angle-Side congruency postulate, which states that, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

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Please help me quick please it’s proofs and am really stuck on this question !!!

Answers

Answer:

Step-by-step explanation:

hey buddy thts supper easy just match the d and b

Ruby is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.50. Ruby spent $15 altogether at the carnival and the number of games she played is twice the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Ruby played, x, and the number of rides Ruby went on, y.

Answers

$15 = 1.25x + 2.50y

x number of games, y = number of rides

Graphing this will show a line with coordinates (x, y) on it who 'fit' in this equation to make it = 15

I graphed points where both x and y are whole numbers.

These are answers to the equation that make it = 15.

Graph the line 2x = y   (2 times the number of games is the number of rides)

Where the lines intersect is where number of rides is twice taht of games, and the price is 15.

Visually, we can determine that they intersect at (2.4, 4.8)

To verify that this is correct, plug them into the first function to see if this gives you 15.

It does equal 15.

While these are not whole numbers, they do make the equations true, but in the real world we would not have numbers like this.

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

help with example 6

Answers

In the given triangle, length of side AD is 5 unit and length of side AB is 7 unit.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

In triangle ABC,

BC is perpendicular bisector or side AC.

The length of side AC = 10, BC = 7,

Since, BD is a perpendicular bisector of AC,

Therefore, D will be midpoint of AC.

AD = DC = AC /2 = 10/2 = 5.

By angle bisector property,

AB/BC = AD / AC

AB / 7 = 5/5

AB = 7

The length of side AB is 7 and Side AD is 5.

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Triangle PQR, with vertices P(4,6), Q(8,5), and R(5,9), is drawn inside a rectangle, as shown below.

Answers

The area of the given triangle will be A = 4.52 units².

How to find the distance between two points?

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

As per the given,

P(4,6), Q(8,5), and R(5,9)

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

PQ = [tex]\sqrt {\left( {4 - 8 } \right)^2 + \left( {6 - 5 } \right)^2 }[/tex]

PQ = √17 = 4.12

PR = [tex]\sqrt {\left( {4 - 5 } \right)^2 + \left( {6 - 9 } \right)^2 }[/tex]

PR = √5 = 2.25

QR = [tex]\sqrt {\left( {8 - 5 } \right)^2 + \left( {5 - 9 } \right)^2 }[/tex]

QR = √18 = 4.25

The area will be as, √(S(S - PQ)(S - QR)(S - PR)

Where, S = (4.12 + 2.25 + 4.25)/2 = 5.31

Area = √(5.31(5.31 - 4.12)(5.31 - 4.25)(5.31 - 2.25)

A = 4.52 units²

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Answer:

6.5 square units

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7cm}\underline{Area of a triangle}\\\\$A=\dfrac{x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)}{2}$\\\\where:\\ \phantom{ww}$\bullet$ $(x_1,y_1), (x_2,y_2)$ and $(x_3,y_3)$ are \\ \phantom{ww}\;\;\; vertices of the triangle. \\\end{minipage}}[/tex]

From inspection of the given diagram, the vertices of the triangle are:

(x₁, y₁) = P = (4, 6)(x₂, y₂) = Q = (8, 5)(x₃, y₃) = R = (5, 9)

Substitute the vertices into the formula to solve for area:

[tex]\implies A=\dfrac{4(5 - 9) + 8(9 - 6) + 5(6 - 5)}{2}[/tex]

[tex]\implies A=\dfrac{4(-4) + 8(3) + 5(1)}{2}[/tex]

[tex]\implies A=\dfrac{-16 + 24 + 5}{2}[/tex]

[tex]\implies A=\dfrac{13}{2}[/tex]

[tex]\implies A=6.5 \; \sf units^2[/tex]

Therefore, the area of triangle PQR is 6.5 square units.

The publisher of a high school yearbook charges $24 per yearbook plus a layout fee of $475. The yearbook committee has decided that the publisher will receive no more than $6100. What is the maximum number of yearbooks that can be sold?

Answers

With the help of simple mathematical operations, we know that the publisher can sell a maximum of 12 yearbooks.

What are mathematical operations?

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations refers to the rules that govern how to solve an expression with several operations.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, the maximum number of books that can be sold are:

24 + 475 = 499

Now, the publisher can receive not more than $6100. Then,

6100/499 = 12.22


Therefore, with the help of simple mathematical operations, we know that the publisher can sell a maximum of 12 yearbooks.

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Which answer choice correctly represents an algebraic expression for 8 less than a number? i need help

Answers

The algebraic expression for 8 less than a number is x - 8

What is the algebraic expression for 8 less than a number?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations

Let the number be x.

The algebraic expression for 8 less than a number will be:

x - 8.

The expression is x - 8.

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If you apply the following
translation:
(x, y) → (x + 3, y − 2)
to the point (0, 1), what are the
resulting coordinates?

Answers

Answer:

(3,-1)

Step-by-step explanation:

you have a graph and poin is (0,1) you have 0+3 to make 2 on the horizontil line and they y = -2 so you go down 2 to make (3,-1)

Answer:

(3, -1)

Step-by-step explanation:

Graphical Translation

Graphical Translation is about shifting the coordinates by a certain value towards the left/down (x and y coordinates respectively) for negative signs and towards the right/up (x and y coordinates respectively) for positive signs.

Eg. x is shifted by + 3 units, y is shifted by - 1 unit from the point (9 , 3) , the resulting coordinate will be:

(9 + 3, 3 - 1) = (12, 2)

Solution

Given from the question:

x is shifted by + 3 units and y is shifted by - 2 units,

Therefore, the resulting coordinates will be:

(0 + 3, 1 - 2) = (3, -1).

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