Is the relation depicted in the chart below a function?

Is The Relation Depicted In The Chart Below A Function?

Answers

Answer 1

The true statement is (a) it is a function

How to determine the relation?

For a relation to be a function, the following must be true:

Each x value must be paired with exactly one y value

From the table of values, all x values have exactly one y value

This means that the relation is a function

Hence, the true statement is (a) it is a function

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Answer 2

The correct option regarding whether the relation is a function is:

It is a function.

When does a relation represents a function?

A relation represents a function if each input X is mapped to only one output Y.

In this problem, this statement is true(input 3 is mapped to output 10 twice, same output so ok), hence it is a function.

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Related Questions

Write the equation of the line with a slope of 2/3 and y-intercept of 1. Write your answer in slope-intercept form

Answers

B = y - mx = 1 - (2/3)(0) = 1

y = (2/3)x + 1

Y=2/3x+1
Because in slope intercept form y=mx+b: 2/3 is m and 1 is b in the formula.

Factorize this equation:
6=x^2-x

Answers

The factored form of the given expression is (x+2)(x-3)

Factorizing equation

Quadratic equation are equation that has a leading degree of 2. Given the equation below

6=x^2-x


Equate to zero

x^2-x - 6 = 0

Factorize

x^2 - 3x + 2x - 6 = 0

x(x-3)+2(x-3) = 0

x = 3 and -2

Hence the factored form of the given expression is (x+2)(x-3)

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Find the value of b.

Answers

Answer: [tex]230^{\circ[/tex]

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] are tangents to the circle.

[tex]\overline{BO} \cong \overline{BO}[/tex] (reflexive property)[tex]\overline{AB} \cong \overline{BC}[/tex] (tangents drawn from a common external point are congruent)[tex]\angle BAO \cong \angle BCO[/tex] (right angles are congruent)

Therefore, we know [tex]\triangle ABO \cong \triangle CBO[/tex] by HL.

Thus, by CPCTC,

[tex]\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}[/tex]

This means the measure of minor arc AC is [tex]130^{\circ}[/tex], and thus [tex]b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}[/tex]

What is the inverse of function f?
F(x) =3-x/7

Answers

Answer:

the answer is (D) F-1 (X) = 7x - 3

Step-by-step explanation:

You are buying a used car which costs $10,200. You plan to sell the car after keeping it for 5 years. Research shows that this car will lose value at a rate of 8% per year. How much will the car be worth after 5 years?

Answers

Answer:

$6,722.63

Step-by-step explanation:

Now: $10,200

In 1 year: 0.92 × $10,200 = $9,384

In 2 years: 0.92 × $9,384 = $8,633.28

In 3 years: 0.92 × $8,633.28 = $7,942.6176

In 4 years: 0.92 × $7,942.6176 = $7,307.208192

In 5 years: 0.92 × $7,307.208192 = $6,722.63

Answer: $6,722.63

Answer:

$6,722.63

Step-by-step explanation:

Using this formula A=P(1-d/100)^n where

A = Amount

P = Principal

d = percent

n = number of year

A=P(1-d/100)^n

A = 10,200(1-8/100)

A = 10,200(1-0.08)

A = 10,200(0.92)

A = 10,200(0.6591)

A= $6,722.63

11
24
1
4

I’m very lost with this one can anyone answer this for me please

Answers

Answer:

So let start with 1/4 simplest form of that would be 9/4 and for 11/24 simplest would be just that so now we got 11/24 - 9/4 = 1/72

Step-by-step explanation:

11/24

4/9

now we do 11 x 9 equals 99 so now 4 x 24 = 96

now we take the two new denominators2 24 and 9

and we do 24 x 9 = 216 so now we got

99/216

96/216

now 99 - 96 is 3 so we got a new fraction

3/216 now we just simplify that  so we get 1/72

Which steps would prove the circles similar?

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.

Answers

The steps needed is :Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

What is dilation?

Dilation is a transformation, which is used to resize the object.

As the radius of big circle is 6 then the dilation should be scale factor 3.

As well as they should share the same center.

The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,

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A system of inequalities is shown.

The graph shows a dashed upward opening parabola with a vertex at negative 2 comma negative 6, with shading inside the parabola. It also shows a dashed line passing through the points negative 3 comma negative 5 and 0 comma 4, with shading below the line.

Which system is represented in the graph?

Answers

The required system hence becomes

3x-y+4>0,

y + 6 > (x + 2)²

When the symbols “>”, “<”, “≥”, “≤”,  are used to connect two real numbers or algebraic expressions, that relationship is known as an inequality.

The Graph is given below of the given problem statement.

Observe that the parabola y=x² has vertex at (0,0) we can shift the vertex to (-2,-6) to get the parabola

y + 6 = (x + 2)²

And the inequality is

y + 6 > (x + 2)²

Hence, this parabola is as required by the problem.

And the line passing through (-3,-5) and (0,4) is

[tex]\frac{\left(y-4\right)}{\left(-5-4\right)}=\frac{\left(x\right)}{-3}[/tex]

The required inequality hence becomes

3x-y+4>0

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You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair.

How many legs are on the ground?

Answers

Answer:

28

Step-by-step explanation:

1 dog = 4 legs, 2 dogs = 8 legs

1 horse = 4 legs, 4 horses = 16 legs

1 giraffe = 4 legs.

So we need to add "2 dogs = 8 legs", "4 horses = 16 legs", and 1 giraffe = 4 legs.

(8 + 16 + 4)

We get the final answer: 28

Answer:
2 which are yours.
The animals are either lying on a bed or flying.
Step-by-step explanation:

evaluate the expression when a= -7 and b=4 for 3b-a

Answers

Step-by-step explanation:

By putting value of a and b in 3b-a

The value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 3b - a

Plug a = -7 and b = 4

= 3(4) - (-7)

= 12+7

= 19

Thus, the value of the expression 3b - a is 19 when a= -7 and b=4 the answer is 19.

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Write the logarithmic expression as a single logarithm.

Answers

Answer:

[tex]\log_48[/tex]

Step-by-step explanation:

[tex]\log_432-\log_4(4) = \log_4(\frac{32}{4} )=\log_48[/tex]

Solve each inequality Exercises 65-70 and graph the solution set on a real number line.

Answers

Answer:

Where are the exercizes.

A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to make a mix that contains 120 pounds of soil?

144
230.4
9
0.06

Answers

A ratio shows us the number of times a number contains another number. The correct option is A.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of fertilizer to soil is,

Fertilizer/Soil = 12 ounces / 10 pounds

The amount of fertilizer that the farmer need to mix for 120 pounds of soil is,

Fertilizer/120 pounds = 12 ounces / 10 pounds

Fertilizer = (12 ounces × 120 pounds)/10pounds

Fertilizer = 144 ounces

Hence, the correct option is A.

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Please solve this question

Answers

Using the Poisson distribution, the probabilities are given as follows:

[tex]P(X = 0) = e^{-10.6}[/tex][tex]P(X \geq 1) = 1 - e^{-10.6}[/tex][tex]P(X \leq 2) = 67.78e^{-10.6}[/tex]

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

The mean is given as follows:

[tex]\mu = 10.6[/tex]

Hence the probability of no dandelions in an area of 1 m² is P(X = 0), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-10.6}(10.6)^{0}}{(0)!} = e^{-10.6}[/tex]

The probability of at least one dandelion is:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - e^{-10.6}[/tex]

The probability of at most two dandelions is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-10.6}(10.6)^{0}}{(0)!} = e^{-10.6}[/tex]

[tex]P(X = 1) = \frac{e^{-10.6}(10.6)^{1}}{(1)!} = 10.6e^{-10.6}[/tex]

[tex]P(X = 2) = \frac{e^{-10.6}(10.6)^{2}}{(2)!} = 56.18e^{-10.6}[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = e^{-10.6} + 10.6e^{-10.6} + 56.18e^{-10.6} = 67.78e^{-10.6}[/tex]

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Simplify the expression 3-8 × 34.

Answers

Answer:

3-8x 34= -5x 34 = -170

Step-by-step explanation:

3-8* 34
3-8= 5
5*34=170

Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.

What does point T represent in this context?

Answer:
A number of books and their costs where the subscription with the annual fee costs less

Answers

The first subscription option is given by T = 92 while the second subscription option is given as T = 3x. Where T represent the cost of borrowing x number of books.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let T represent the cost of borrowing x number of books.

For the first subscription option:

T = 92

For the second subscription option:

T = 3x

The first subscription option is given by T = 92 while the second subscription option is given as T = 3x. Where T represent the cost of borrowing x number of books.

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Eight more than seven times a number is equal to four more than five times the number. What is the number?

Answers

Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

Let us consider the number to be 'n'.

Given condition :

7n + 8 = 5n + 4

Subtract '5n' from each side :

7n + 8 - 5n = 5n + 4 - 5n2n + 8 = 4

Subtract '8' from each side :

2n + 8 - 8 = 4 - 82n = -4

Divide '2' from each side :

2n/2 = -4/2[tex]\fbox {n = -2}[/tex]

∴ The number is -2.

11. Name a pair of complementary angles in this figure.

angles DEF and DEH
angles DEH and HEJ
angles DEH and DEK
angles DEH and DEJ​

Answers

Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

Which point corresponds to the real zero of the graph of y = log2 (x + 2) - 1?

Answers

Answer:

(0, 0)

Step-by-step explanation:

Ok so you have the equation: [tex]y = log_2{(x+2)}-1[/tex]. To find the zero you simply set the y equal to zero and then solve for x

[tex]0 = log_2{(x+2)}-1[/tex]

Add 1 to both sides

[tex]1 = log_2{x+2}[/tex]

Rewrite the equation in exponential form:

[tex]2^1=x+2[/tex]

Subtract 2 from both sides

[tex]0 = x[/tex]

So the zero of the function is at the origin (0, 0)

Item cost $430 sales tax was $8.60 what is the percentage of the sales tax rate

Answers

Answer:

2%

Step-by-step explanation:

You can write it out as equation first.

430*x%=8.60, leave x% alone, so the equation will change into

x%=8.60/430

8.60/430=0.02=2%

therefore, x%=2%

what is the answer to
√a³-7 + -4

Answers

Answer:

√a^3−7-4

Step-by-step explanation:

Replace all occurrences of + − with a single −. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅ −1= −1

Which relation below represents a one-to-one function?

A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197.

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5.

A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11.

Answers

the last option. would be correct

The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

  f(x) with entries 26, 197, 50, 170, 197.

Option A is the correct answer.

We have,

A one-to-one function is a function that has one output for one input.

Now,

A.

x with entries 5, 14, 7, 13, 12.

f x) with entries 26, 197, 50, 170, 197.

This is a one-to-one function.

B.

x with entries -2, -1, 0, 1, 2.

f(x) with entries 5, 2, 1, 2, 5.

This is not a one-to-one function.

The x values -1 and 1 have the same f(x) value 2.

C.

x with entries 7.25, 7.5, 7.75, 8, 8.5.

f(x) with entries 11, 13, 15, 13, 11.

This is not a one-to-one function.

The x values 7.25 and 8.5 have the same f(x) value 11.

Thus,

The relation that represents a one-to-one function is

A. x with entries 5, 14, 7, 13, 12.

   f(x) with entries 26, 197, 50, 170, 197.

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Cost of a computer game: $32.00
Markup: 20%

Answers

Answer:

38.4

Step-by-step explanation:

32×%20=6.4

32+6.4=38.4 new price

what is the value of the expression below when x= 2? for y²-2y+10

Answers

Answer:

I think its y = 2.

Then, your answer will be 10.

Step-by-step explanation:

y²- 2y + 10

=2² - 2.2 + 10

=4 - 4 + 10

=10    ans.

Hope its helpful!

Answer:

If y = 2.

Your answer is 10.

Step-by-step explanation:

y²- 2y + 10

=2² - 2.2 + 10

=4 - 4 + 10

=10   ans.

Hope its helpful!

John currently pays $500 monthly towards his minimum payments on his credit cards. , John now pays $350 towards the same credit cards through his debt relief program. How much does John save off his minimums after 3 months

Answers

The amount John saves off his minimums after 3 months is $450

Calculating amount saved

From the question, we are to determine the amount John saves off his minimums after 3 months

The amount John saves off his minimums after 3 months =

($500 - $350) × 3

$150 × 3

= $450

Hence, the amount John saves off his minimums after 3 months is $450

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Look at the figure. How many different labeled rays are shown?
A.)2
B.)10
C.)20
D.)8

Answers

B.) 10

The rays are
AB, BC, CD, DE
AC, BD, CE
AD, BE
AE

Joe piad $5 for a burger. He has more than $25 left. How much money did he have before buying the burger?

Answers

Answer:

More than 30 dollars

Step-by-step explanation:

This situation can be described with the inequality:

x - 5 > 25

1. Add 5 to both sides

2. X > 30

He had 30 bucks before buying the burger

When using three letters to name an angle, the middle letter represents the ____.

Answers

Answer:

Vertex

Step-by-step explanation:

Vertex is the 'point' of an angle

Find the lengh of AB

Answers

start by using rise/run. B is 8u higher than A, and 5u right. use the sides as a triangle and use pythagorean theorem to solve. a^2 + b^2 = c^2.

81+25 = 106
root106 = 10.3

your answer is 10.3

What is the value of h(2)?
-2
-1
0
3

Answers

Answer:

0

Step-by-step explanation:

all the question is asking is

if x is 2 then what is y

the line on the left is downward facing line which ends at

(2,0) <- where is x is 2 and y is 0

the upward facing line on the right does start at (2,3)

but the dot there is a

hollow dot

hollow dot represents excluded value

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