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Is this a function? Explain, why or why not!
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DQuestion 6Is This A Function? Explain, Why Or Why Not!Edit View Insert Format Tools Table12ptParagraph

Answers

Answer 1

By using the concept of function, it can be seen that the given graph represents a function.

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values on the x axis represents the domain and the values on the y axis represents the Range.

From the graph it can be seen that

Every point of the domain maps to unique point on the range.

So this is a function

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Related Questions

what is 7 8/11 rounded to the nearest tenth

Answers

The provided mixed fraction (7 8/11) will have a decimal value of 7.7.

What is fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. 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.

Here,

7 8/11=(7*11+8)/11

=85/11

=7.7

The value of the given mixed fraction 7 8/11 will be 7.7 in the decimal format.

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Name the corresponding part if polygon WXYZ polygon PQRS.

X =

Answers

The corresponding angle of X is angle Q

What are corresponding shapes?

Corresponding sides are the sides that are in the same position in any different 2-dimensional shapes. For any two polygons to be congruent, they must have exactly the same shape and size. This means that all their interior angles and their corresponding sides must be the same measure.

For two congruent shapes, the corresponding are equal.

if polygons WXYZ and PQRS are congruent, then, line XY= line QS

Therefore angle X= angle Q

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y = x + 2 on a graph with the solution

Answers

here's your answer hope it helps :D

(PICTURE INCLUDED) What are the missing parts that correctly complete the proof?

Answers

It is proved that Point A is situated equal distance from Triangle PQA and RQA.

What is bisector?

It is a line that divide an angle or a line in two equal parts.  In the given figure, QA is a bisector as it divides the angle PQR.

what is congruent triangle?

Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.

it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.

As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.

hence, A is the same distance from P and R

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Statement                                                                  Reason

1. QA is the bisector of ∠PQR                                   Given

2. ∠PQA   ≅ ∠RQA                                          Definition of bisector

4. ∠QXA ≅ ∠QYA                                   All right angles are congruent

5. QA ≅ QA                                                                Given

6.△PQA ≅ △RQA                                            AAS Postulate

8. Point A is equidistance                              Definition equidistance

from the side of ∠PQR        

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that point A is lie on the bisector of ∠PQR.

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Therefore QA is the bisector of ∠PQR

Then ∠PQA   ≅ ∠RQA  

Since ∠QXA and ∠QYA are right angle, therefore they are congruent.

∠QXA ≅ ∠QYA

QA ≅ QA

AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.

According to AAS postulate,

△PQA ≅ △RQA  

Point A is equidistance from ∠PQR.

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Need help on b please

Answers

Answer:

As the age of your car increases the value of that car decreases

Step-by-step explanation:

hope this helps

lucia flips a coin three times. what is the probability that she gets head-tail-head, in that order? express your answer as a common fraction.

Answers

The probability that Lucia receives (Head, Tail, Head) within this order is 1/8.

Describe the term probability?The probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages extending between 0% to 100% can be used to describe probabilities.

A coin toss has a total of two possible outcomes.

Three coin flips have a total of eight outcomes possible: 2 x 2 x 2 = 8

Positive result = (Head, tail, Head) in that sequence

i.e., 1 is the number of favourable results.

As we well aware,

Probability = favourable outcome / total outcome

The needed probability follows as a result.

Probability (first head) = 1/2

Probability (second tail) = 1/2

Probability (third head) = 1/2

Thus,

Probability(Head, tail, Head) = 1/2 x 1/2 x 1/2

Probability (Head, tail, Head) = 1/8

Consequently, the likelihood that she receives (Head, Tail, Head) within this order is 1/8.

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to use a binomial distribution to approximate the count of successes in an srs, why do we require that the sample size n be no more than 10% of the population size n?

Answers

When the 10% criterion is met, we can use a binomial distribution to approximate the number of successes in a simple random sample (SRS) (as a simple random sample selects the trials without replacement).

The sample must be less than 10% of the population in order to satisfy the 10% requirement. It is fair to presume that the trials are independent because the sample is so much smaller than the population (even though the sampling occurred without replacement).

This suggests that the sample size n in this situation must be less than 10% of the population size NN.

This is the reason why 10% condition should be met.

In a binomial probability distribution, the number of successes in a series of n experiments is represented as either success or failure   (probability q = 1 p), depending on the outcome's boolean value. A Bernoulli trial or experiment is another name for a single success or failure test, while a Bernoulli process is another name for a sequence of results.

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I need help with these two questions!

Answers

Question 1

C. Congruent by ASA.

Question 2

The reason is 'definition of isosceles triangle'.

How do I do this question about angles in circles

Answers

you should watch videos on circle theorems on yt its really helpful

reflex angle of POR = 302 degrees

explanation in the picture

What is StartFraction 2 tangent (10 degrees) Over 1 minus tangent squared (10 degrees) EndFraction expressed as a single trigonometric ratio?

Answers

As a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree

What is Trigonometric Ratios ?

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions.

                  The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

The expression given is

(2tan(10 degrees))/(1 - tan² (10 degrees))

By the property of Tan 2x

Tan 2x = 2tanx /(1 - tan² x)

Therefore from the formula ,

x = 10 in the given expression

Therefore as a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree

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Answer: yes tan(20°) option 4

Step-by-step explanation:

A fox can run at a peed of 10 kmph, and a wolf can run at a peed of 11 mph. Which animal i fater?

Answers

If fox run at speed of 10 kmph and wolf run at 11 mph , then the animal that runs faster is  wolf  .

In the question ,

it is given that ,

the speed at which the fox runs is = 10 kmph

the speed at which the wolf runs is = 11mph ,

for comparison , the units should be same ,

So , we need to convert 11 mph to kmph .

we know  that , 1 mile per hour = 1.60934 kmph ,

So , 11 mph = 17.7028 kmph .

So , the speed at which the wolf runs is = 17.7028 kmph .

On comparison , we get that speed of wolf is greater than speed of fox .

Therefore , wolf runs faster than fox .

The given question is incomplete , the complete question is

A fox can run at a speed of 10 kmph, and a wolf can run at a speed of 11 mph. Which animal is faster ?

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Answer: the Answer is wolf

Step-by-step explanation:

the wolf can peed so it is fater

Suppose trains leave from New York for Atlanta every 20 minutes starting at 1 a.m., and trains leave Atlanta for New York every 30 minutes starting at 1:10 a.m. If it takes each train 10 hours to travel from one city to the other, how many trains traveling from Atlanta to New York are passed by the train that leaves New York at 1 p.m. and arrives in Atlanta at 11 pm?

Answers

The trains leaving atlanta for new york every 30 minutes....it takes 10 hours   so there is 20 trains on the track when YOUR

NY to ATL train leaves......during the 10 hour trip ANOTHER 20 trains will launch from ATL going to NY

  so you will pass 40 trains that are going from ATL to NY    while you are travelling to ATL  

This assumes that the trains go every 30 minutes around the clock.

If they do not go around the clock , you will only pass trains that launch for the 10 hours after your departure from NY

  that would be 20 trains

the estimated regression equation is . a. what is the value of the standard error of the estimate (to decimals)?

Answers

The value of the standard error of the estimate is 6.5141.

Given :

the estimated regression equation is y = 7.6 + 0.9x

we need to find the value of the standard error of the estimate.

Regression equation ;

A regression equation is used in stats to find out what relationship, if any, exists between sets of data.

Standard error :

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.

here n = 5 and k = 2

σ = [tex]\sqrt{127.3/3}[/tex]

= 6.5141.

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Full question:

the estimated regression equation is y = 7.6 + 0.9x . a. what is the value of the standard error of the estimate (to decimals)?

What is the slope-intercept form of the equation of a line the line passing through point (6, -1)
that is parallel to y = 2x - 3?

Answers

Answer:

baba perksssssssssssssss

Step-by-step explanation:

Answer: y=2x-13

Step-by-step explanation:

When lines are parallel to each other they have the same slope so the slope of the line we are trying to find is 2.

To find the y-intercept we can turn the equation into point-slope form using our point (6,-1) and slope (2).

Point-Slope Form: y-y1=m(x-x1)

y+1=2(x-6)

Then solve for y to find the y-intercept

y+1=2x-12

y=2x-13 is your answer in Slope-intercept form

Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

How much did the bicycle cost?

Answers

Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division.

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

According to the given question:

Hugo decided to pay $2 a week to his brother to buy a bicycle.

The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

To pay back to the brother he must owe no money which is y = 0.

∴ The weeks needed is,

0 - 10 = -2(x - 10).

- 10 = -2x + 20.

2x = 30.

x = 15.

He needs 15 weeks to pay back completely.

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set up an equation and solve: the length of a rectangle is 4 feet more than three times the width. the perimeter is 48 feet. find the length and the width of the rectangle.

Answers

solving the equation, the width of the rectangle was found to be 6.67 feet and the length was found to be 22.67 feet.

Let x = the width of the rectangle

Then, the length = 3x + 4

Perimeter = 2(3x + 4) + 2x = 48

2(3x + 4) + 2x = 48

6x + 8 = 48

6x = 40

x = 40/6

x = 6.67 feet

The width of the rectangle = 6.67 feet

The length of the rectangle = 3(6.67) + 4 = 22.67 feet

To solve for the length and width of the rectangle, an equation was set up using the perimeter of 48 feet. The length was represented by 3x + 4, where x is the width. After solving the equation, the width of the rectangle was found to be 6.67 feet and the length was found to be 22.67 feet.

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A houe on the market wa valued at 376,000. After everal year, the value decreaed by 9%. By how much did the houe value decreae in dollar. What i the current value of the houe?

Answers

The house value is decreased by $33840 and the current value of the house is $342160

Here, we have been given a house on the market was valued at $376,000.

The value decreased by 9% .

We need to find the amount by which the house value decreased in dollar and the current value of the house.

The 9 percent of $376,000

376,000 * (9/100) = 33840

This means, the house value is decreased by $33840

So, the current value would be,

376,000 - 33840 = 342160

Therefore, the house value is decreased by $33840.

The current value = $342160

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Julius operates an athletic apparel stor. His records indicate that he had sales of 97,000. Customer return $ 2000 worth of clothing and shoes because of various reason. His cost of good sold was $ 25,000. What is Julius schedule c ( form) gross profit

Answers

Julius's Schedule C gross profit is $72,000

($97,000 sales - $2,000 returns - $25,000 cost of goods sold = $70,000 gross profit).

What does the profit actually mean?

income from trade or business after covering the costs of generating and disbursing goods and services: Selling scraps to textile businesses brings her a sizable profit.

The purpose of profit calculation

A business's primary goal should be to earn a profit. Understanding where your business is producing money and where you are spending it can help you assess your level of success. Calculating your profit can also provide you this information.

What does profit math look like?

Income less all costs. As an illustration, Sam's Bakery collected $900 yesterday, but its expenses, including salaries, food, and power, were $650. Profit was therefore $900 divided by $650 to equal $250.

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Solve the equation
2x^3-4x^2-96x=-8x^2

Answers

Answer:

x = 6 or x = 0 or x = -8

Step-by-step explanation:

Solve for x over the real numbers:

2 x^3 - 4 x^2 - 96 x = -8 x^2

Add 8 x^2 to both sides:

2 x^3 + 4 x^2 - 96 x = 0

The left-hand side factors into a product with four terms:

2 x (x - 6) (x + 8) = 0

Divide both sides by 2:

x (x - 6) (x + 8) = 0

Split into three equations:

x - 6 = 0 or x = 0 or x + 8 = 0

Add 6 to both sides:

x = 6 or x = 0 or x + 8 = 0

Subtract 8 from both sides:

Answer: x = 6 or x = 0 or x = -8

17.
DEFG is a square. Find DG.

Answers

Answer:

DG = √[tex]2x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] + [tex]x^{2}[/tex] = 2[tex]x^{2}[/tex]

DG = √[tex]2x^{2}[/tex]

Ernie Brody had $3,620 on deposit at Savings Bank on July 1. The money earns interest at a rate of 6.5% compounded quarterly until
April 1 of the fillowing year.

Answers

The amount of money in the account by April 1st of the following year is $4372.78.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.

Here, principal compounded quarterly

Thus, Amount =3620(1+6.5/100)³

= 3620(1+0.065)³

= 3620(1.065)³

= $4372.78

Therefore, amount of money in the account by April 1st of the following year is $4372.78.

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Christopher buys 1/2 pound of cheese for $3.60. How much would it cost per pound of cheese?

Answers

Answer:

$ 7.2

Step-by-step explanation:

½ pound = $3.60

1 pound = x

just cross multiply.

½x = $ 3.60

0.5x = $ 3.60

x = $3.60/0.5

x = $7.2

Answer:

[tex]\huge\boxed{\sf \$ 7.20}[/tex]

Step-by-step explanation:

Given that,

1/2 pound of cheese = $3.60

Using unitary method.

Multiply 2 to both sides

1 pound of cheese = $3.60 × 2

1 pound of cheese = $7.20

[tex]\rule[225]{225}{2}[/tex]

Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.
R′(x) = 0.06x^2 − 0.05x + 138

Answers

The demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.

Define Marginal revenue

Marginal revenue is a central concept in microeconomics that describes the additional total revenue generated by increasing product sales by 1 unit.

Given expression is,

R′(x) = 0.06x² − 0.05x + 138

To make R'(x) to R(x) just integrate R'(x),

R(x) = ∫ R'(x) dx

      = ∫ (0.06x² − 0.05x + 138) dx

      =  0.06x³/3 − 0.05x²/2 + 138 x  + C

We get, R(x) = 0.02x³ − 0.025x² + 138 x  + C

It's given, the revenue is 0 means no items sold so R(0) = 0.

Now, put x = 0 and find C

R(0) = 0.02(0)³ − 0.025(0)² + 138 (0)  + C

   0 = 0 + C

C = 0

So, R(x) = 0.02x³ − 0.025x² + 138 x, since C = 0

Now, take x common from R(x) will give us,

R(x) = x( 0.02x² − 0.025x + 138 )

so, R(x) = x p(x)

so, p(x) = 0.02x² − 0.025x + 138

Hence, the demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.

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given 2n = m + h h = n + m prove n = 2m

Answers

Answer:

See steps below for proving n = 2m:

Step-by-step explanation:

An equation is formed of two equal expressions. n=2m can be proved by solving the two of the given equation for h and then equating them together as shown below.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign ''=''.

Given the two equations, 2n=m+h, and h=n+m. Now, solve the two of the equations for h as shown below:

Equation 1.

2n = m + h

2n - m = h

h = 2n - m

Equation 2.

h = n + m

Further, equate the value of h from both the equation,

h = h

2n - m = n + m

Bring the like terms on the same side of the equation,

2n - n = m + m

n = 2m

Hence, proved n=2m.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Use the 2016 marginal tax rates to compute the income tax owed by the following person. Single male, no dependents. Gross income: $88,000 Adjustments: $2000 Deductions:$27,000 mortgage interest $4036 property taxes $2000 charitable contributions

Answers

The taxable income in marginal tax rates for 2016 is $44964.

What is marginal tax rate?

The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate. With a marginal tax rate of 10%, tax would be deducted from the following dollar of income at a rate of 10%.

Gross income = $88000

Adjustments = $2000

Deductions interest = $27000

Property taxes = $4036

Charitable contribution = $2000

Taxable income = 88000 - (2000 + 27000 + 4036 + 2000)

= 88000 - 35036

= 44964

Hence, the taxable income in marginal tax rates for 2016 is $44964.

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The sum of the 12th square number and the 4th cube number is:​

Answers

Answer:

144 + 64 =208

Step-by-step explanation:

you see the 12th square number is 12 × 12 which is 144 then the 4th cube number is 4 × 4 ×4 make it 64 and the sum of all of this is 204

omar had 5/7 acres of land. He planted 5/6 of this land with corn. How many acres did he plant with corn

Answers

Answer: He planted 5/42 acres

Step-by-step explanation:

First, find the common of 7 and 6, which is 42

5/7 - 5/6

= 30/42 - 35/42

= -5/42

Jason spent $25.50 on movie tickets. Each movie ticket (m) cost $8.50 . Which equation could be used to represent how many tickets Jason bought?

Answers

Answer:

8.50m = 25.50

Step-by-step explanation:

Total movie ticket spent = 25.50

Movie ticket unitary price = 8.50

Then an equation to represent that is:

8.50m = 25.50

m = 25.50/8.50

m = 3

Answer:

He bought 3 tickets

Step-by-step explanation:

Add $8.50 3 times to get how much he spent

The average speed of a ship for the first hour of a journey is 32 km/hr.Its average speed for the next 2 hours is 41 km/hr.Find its average speed for the whole journey.

Answers

The average speed for the whole journey is 24.3 km per hour.

What is the average speed for the whole journey?

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

It should be noted that:

Speed = Distance / Time

Distance = 32km + 41km

= 73km

Time = 1 hour + 2 hours

Time = 3 hours

Speed = Distance / Time

Speed = 73 / 3

Speed = 24.3 km per hour.

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Expand and simplify (2x + 1)(x-2)(x + 3)
Optional working
+
Answer
+

Answers

Answer:2x^3+3x^2-11x-6

Step-by-step explanation:

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