Which function below has the following domain and range?
Domain: {-9, - 5, 2, 6, 10}
Range: { -2, 0, 8}
O {(-9, 10), (-2,8)}
O ((-9, -2), ( – 5, 0), (2, 8), (6, 5), (10, 9))}
O ((-2,-5), (8, 10), (0, 6), (-2, -9), (0, 2)}
O {(2,0), (-5, -2), (10, 8), (6, 0), (-9, -2)}

Answers

Answer 1

{(2,0),(-5,-2),(10,8),(6,0),(-9,-2)} is the correct answer (D)

Answer 2

Answer:

  (d)  {(2, 0), (-5, -2), (10, 8), (6, 0), (-9, -2)}

Step-by-step explanation:

The domain is the list of x-values. The range is the list of y-values. You are looking for the set that matches the given lists.

ChoicesA.

The list of x-values is {-9, -2}. The list is too short.

B.

The list of x-values is {-9, -5, 2, 6, 10}. This matches the required domain.

The list of y-values is {-2, 0, 8, 5, 9}. The list is too long.

C.

The list of x-values is {-2, 8, 0, -2, 0}. The list does not match the given domain list.

D.

The list of x-values is {2, -5, 10, 6, -9}. This matches the given domain.

The list of y-values is {0, -2, 8, 0, -2}. This matches the given range.

The function of interest is ...

   {(2, 0), (-5, -2), (10, 8), (6, 0), (-9, -2)}


Related Questions

Ivy is running errands for her mother. She bikes along straight paths to the supermarket, the bank, and then back home.Find the distance between Ivy's house and the supermarket and the distance between the supermarket and the bank. Each distance is rounded to the nearest meter.

Answers

The distance between Ivy's house and the supermarket and the distance between the supermarket and the bank:
H&S = 1,014 M; and S&B = 854m. This is resolved using the Sine Theorem.

What is the calculation backing the above solution?

Notice that the Angles of a Triangle add up to 180° That is

∠A + ∠B  + ∠C = 180°

Thus,

∠C = 180° - 32° - 109°

= 39°

Recall the Sine Theorem which indicates;

a/SinA = b/SinB = c/SinC

thus given that

AC = 1,523m

We have

AC/SinB = BC/SinA


BC = AC/SinB * SinA

= 1523/Sin109° * Sin32°

BC =854m

Therefore

AC/SinB = AB/SinC
Thus,

AB = AC/SinB * SinC

= 1523/Sin109° * Sin39°
AB ≈ 1,014m

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During an unusual storm, the temperature fell 8° C, rose 5° C, fell 4° C,
and then rose 6° C. If the temperature was 32° C at the outset of the storm,
what was it after the storm was over?

Answers

{[(32-8)+5]-4}+6= 21 after the storm was over =31 C


1 Austin has found that both(13,17) and (24,61) are solutions to a system of linear equations how are the two lines related? explain

Answers

Considering that the graphs have two intersection points, the two lines are equal.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In a graph, the solution of two linear equations is the intersection of the two lines. Hence, if there are two solutions, as is the case in this problem, the two lines are equal.

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In a given​ year, residents of a country spent approximately ​$54.6 billion on their pets. Of this​ amount, ​$17.1 billion was for veterinarian bills. What percent of the total was spent on veterinary​ care

Answers

Percent of the total was spent on veterinary​ care is 31.3186% .

Applying simple percentage formula,

let x be the percentage

x=[tex]\frac{17.1}{54.6} \ 100[/tex]

x=31.3186 %

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can two equilateral triangles always be congrunet ? give resons​

Answers

SOLUTION :

YES as well as NO , two equilateral ∆s can be congruent if any of their side matched to one another,

& CANNOT be congruent if any of their side didn't matched in terms of length (magnitude).

________________________________

MARK BRAINLIEST!

Select the statement that best describes √ 1 5

Answers

There are no statements to select from

A car’s purchase for $27,000 after each year the resale value decreases by 35% what will the resale be after four years

Answers

The resale value of the car after four years is $4820

How to determine the resale value?

The given parameters are:

initial value, a = $27,000

Rate, r = 35%

The value of the car each year is represented as:

Value = a *(1 - r)^t

So, we have:

Value = 27000 *(1 - 35%)^t

After four years, we have:

Value = 27000 *(1 - 35%)^4

Evaluate

Value = 4820

Hence, the resale value of the car after four years is $4820

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f(x) = [(9,11),(-11,4),(7,-6),(11,-1), (-6,-15),(-13,-5)].
f^-1(f(93)) = m
(f(7)) = n
Find m and n

Answers

Using the inverse functions property:

f⁻¹(f(93)) = m = 93f(7) = n = -6

How to find the values of m and n?

Two functions f(x) and f⁻¹(x) are inverses if:

f( f⁻¹(x) ) = x

f⁻¹(f(x)) = x

We want to get:

f⁻¹(f(93)) = m

By using the above definition we get:

f⁻¹(f(93)) = m = 93

Now for the second one we want:

f(7) = n

If you look at the table, you can see that f(x) contains the point (7, -6), then:

f(7) = n = -6

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solve 4/7- (-4/7)
A. 8/7
B.-8/7
C.-4/7
D.4/7​

Answers

Answer:

A. 8/7

Step-by-step explanation:

Step 1    

4/7 - (-4/7) --> 4/7 + 4/7

The two minutes turn into a plus, removing the bracket.

Step 2

4/7 + 4/7 = 8/7

Add the two fractions together.

Answer:

A. 8/7

Step-by-step explanation:

43 POINTS!!,!,!!,!,!!


Alex went to a furniture shop to buy chairs and tables for his cafe. Find the maximum numbers of chairs he can buy if, he spent $300 for 3 tables cost of 1 chair is $30 and, he cannot spend more than $800 on the furniture.

Answers

Answer:

16 chairs

Step-by-step explanation:

800 - 300 = 500

500/30 = 16.6 since it's money you can only afford 16

find the surface area of the triangular prism.

Answers

The surface area of the triangular prism is 93 squared feet.

What is the surface area of the triangular prism?

The surface area of triangular prism is expressed as;

S.A = bh + ( s₁ + s₂ + s₃ )H

From the diagram;

h = 2ftb or s₁ = 3fts₂ = 3fts₃ = 3ftH = 10ft

We substitute our given values into the equation above.

S.A = bh + ( s₁ + s₂ + s₃ )H

S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft

S.A = 3ft² + ( 9ft )10ft

S.A = 3ft² + 90ft²

S.A = 93ft²

The surface area of the triangular prism is 93 squared feet.

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would anyone be able to help me with this?

Answers

This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.

How to solve for the maximum of the graph

We have ( x-2²) (x-4)

x-2²) = 0, or x - 4

x - 2 = 0, x = 2

Hence we can see that the graph has its minimum at x = 4

b. The graph here does not have a local maximum

c. Next we have to find the point of inflection

To do this you have to differentiate the equation

Use the product rule of differentiation in order to solve for the solution.

(x-2)²[ (x-4) 2 (x-2)]

This would then give us

x -2, 3x -10

In both equations we have to make x the subject of the equation

X = 2, x = 10/3

Hence the point of inflection is 2 and 10/3

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To fight a fire breathing dragon, a knight needs a sword made of Dragon Alloy #13, which contains 7% gold, 3% silver, and 90% magic steel. The dwarves promised to forge such a sword for the knight. At the moment, they have an alloy that contains magic steel, 21% gold, and 9% silver. How much of that alloy and how much magic steel do the dwarves have to combine to get 2.7 kg of Dragon Alloy #13?

Answers

Let [tex]x[/tex] and [tex]y[/tex] be the amounts of available alloy (AA) and pure magic steel that are used, so we also have

[tex]x + y = 2.7[/tex]

DA13 is supposed to contain 7% gold, 3% silver, and 90% steel, so that 2.7 kg of it is made up of

[tex]0.07 \times 2.7 \,\mathrm{kg} = 0.189 \,\mathrm{kg} \text{ gold}[/tex]

[tex]0.03 \times 2.7 \,\mathrm{kg} = 0.081 \,\mathrm{kg} \text{ silver}[/tex]

[tex]0.90 \times 2.7 \,\mathrm{kg} = 2.43 \,\mathrm{kg} \text{ magic steel}[/tex]

For each kg of the available alloy (AA), there is a contribution of 0.21 kg of gold, 0.09 kg of silver, and therefore 0.70 kg of steel; [tex]x[/tex] kg of it will contain [tex]0.21x[/tex] kg of gold, [tex]0.09x[/tex] kg of silver, and [tex]0.70x[/tex] kg of steel. Each kg of magic steel of course contributes 1 kg of steel; [tex]y[/tex] kg of it will contribute [tex]y[/tex] kg of steel.

Then the dwarves need

• total gold: [tex]0.21x = 0.189[/tex]

• total silver: [tex]0.09x = 0.081[/tex]

• total steel: [tex]0.70x + y = 2.43[/tex]

Solve for [tex]x[/tex] and [tex]y[/tex]. The first two equations are consistent and give [tex]x = 0.90[/tex], and substituting this into the third we find [tex]y = 1.80[/tex]. So the dwarves must combine 0.90 kg of AA and 1.80 kg of magic steel.

there are 60 minutes in one hour and 60 seconds in one minute. Using this information, explain how you could convert 20 miles per hour to feet per second

Answers

The conversion is given as 1, 760 feet per second

How to convert the value

We need to convert 20miles per hour to feet per second

First, we should convert miles to feet

1 mile = 5280 feet

Then,

20 miles = x

Cross multiply

20 × 5280 = x

x = 105, 600

Per hour = I hour = 60 seconds

To find the conversion, we divided the conversion to feet by that of the time

= 105, 600/60

= 1, 760 feet per second

Thus, the conversion is given as 1, 760 feet per second

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Is -46x-23 = 46x+23 an infinite solution

Answers

Answer:

There is only 1 solution, and it is ½

Step-by-step explanation:

-46x - 23 = 46x + 23

46x + 46x = 23 + 23

92x = 46

x = 46 / 92

x = ½

Find the integral
∫(cos(1/x)) /x^2 dx

Answers

Answer:

Step-by-step explanation:

∫(cos(1/x)/x² dx

[tex]put~\frac{1}{x} =t\\diff.\\\frac{-1}{x^2} dx=dt\\\int(- cos~t~)dt=-sin~t+c\\=-sin (\frac{1}{x} )+c[/tex]

How many full cases and additional items are needed to fulfill the order? 50 8

Answers

The computation illustrate that there'll be 13 cases and 2 additional units.

How to illustrate the information?

From the information given, it was stated that 80 units are needed, 6. units per case.

Therefore, the number of cases will be:

= 80/6

= 13 remainder 2.

Therefore, there'll be 13 cases and 2 additional units

Complete information

80 units are needed, 6. units per case. What is the number of cases and the number of additional units?

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Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown.

Each section will be a different color, so they need to know the area of each section
1. Write an expression for the total area of the wall. Explain how you came up with your expression

Answers

The expression for the total area of the wall is 10x.

What is area of rectangle?

Let l be length and b be breadth of the rectangle.

Then the area is the product of length and breadth of the rectangle.

That is area = l* b

We can find the expression for the total area of the wall as shown below:

Let the total length of the wall be x.

Height=10 ft

Total area = Height*Length

Putting the value of length and breadth in the above formula.

Total area = 10*x

Total area = 10x

Hence, the expression for the total area of the wall is 10x.

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Find an angle between 0 and 360 that is coterminal with -60.

Answers

The angle which is coterminal with -60 between 0 and 360 is; 300°.

Which angle is coterminal with -60?

Since, it follows that the representation of the angle -60 corresponds to 60° span in the clockwise direction.

Therefore, by going the conventional anticlockwise direction, the angle which is coterminal with -60 is; 300°.

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Sara sells fruit juices. She made 400 cups of fruit juice. By the end of the day, 34th of the quantity was sold. How many pints of fruit juice was sold?

Answers

To answer the question, we need to convert cups to pints, now here is a way to remember the gallon, quarts, to pints, and to cups

In the Kingdom of Gallons (Write a big G on your paper)

Inside the G write 4 Qs

There were four Queens

Inside the Qs write 2 ps

Each Queen had to princess

In each princess write 2 Cs

And each princess has two Cats

Now we know that there is 2 Cups in each Pints so

since she sold 34 cups of juice in cups then we divide 34 by 2 to get

17 PINTS

Answer:

150 pints

Step-by-step explanation:

I believe you meant "By the end of the day, 3/4th of the quantity was sold."

Recall that 2 cups = 1 pint, so 400 cups = 200 pints, and

3/4 th of that would be 150 pints.

Two angles in a triangle have measures of 42 and 82. (Degrees)

What is the measure of the third angle?

Answers

Answer:

angles of the triangle are equal 180

so 42+82=124

180-124=56

so the answer is 56

Step-by-step explanation:

A-12 issue magazine subscription costs $36 what average cost per issue of magazine

Answers

The average cost per issue of magazine is $3

How to determine the average cost?

The given parameters are:

Cost = $36

Issue = 12

The cost per issue is calculated as:

Average = Cost/issue

This gives

Average = 36/12

Evaluate

Average = 3

Hence, the average cost per issue of magazine is $3

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What is the perimeter of a yard with length = 4 x + 6 2 x + 1 feet and width = x − 3 2 x + 1 feet? 4 x − 3 4 x + 12 feet 4 x − 3 2 x + 6 feet 8 x − 6 4 x + 12 feet 8 x − 6 2 x + 6 feet

Answers

The perimeter of the given yard is P = 10x + 6

Perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(l + w)

where

l is the length

w is the width

Given the following parameters

length = 4x+6

width = x-3

Substitute

P = 2(4x+6+x-3)

P = 2(5x + 3)

P = 10x + 6

Hence the perimeter of the given yard is P = 10x + 6

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2. How many 3-person groups can be formed in a club with 8 people?

Answers

Answer:

2

Step-by-step explanation:

8/3 = 2 with a Remainder of 2

I NEED ANSWER ASAP please and thank you

Answers

Answer:

hexagon and pentagon structure. also known as a truncated icosahedron

Step-by-step explanation:

hope that gives you a good enough description.

Attached as an image below.

Answers

The formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years

Growth constant


The growth constant k can be defined as the frequency or also known as the number of times per unit time of growing by a factor

it is also called the logarithmic return, compounded return, or the force of interest.

Note that the general formula for growth rate is given as;

[tex]P(t) = P0 e^k^t[/tex]

Where,

Po =  Initial value = 400 squirrels

r = Rate of growth

k = constant of proportionality = 0. 5 per year

t = time = 1 year

The function P(t) is given as;

P(t) = 400 e^0.5t

Note that the formula for doubling time is given as;

[tex]TD = t \frac{In 2}{In 1 + r/ 100}[/tex]

r = 4

t = 1

substitute into the formula

[tex]TD = 1 \frac{0. 693}{0. 0392}[/tex]

Doubling time  = 1 × 17. 68

Doubling time = 17. 68 years

Thus, the formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years

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Find the value of 2a + 3b

Answers

Answer: 19

Step-by-step explanation:

Using the sum of an arithmetic series formula,

[tex]\sum^{30}_{n=2} (an+b)=2407 \implies 29(16a+b)=2407 \implies 16a+b=83\\\\\sum^{40}_{n=1} (an+b)=4220 \implies 20(41a+2b)=4220 \implies 41a+2b=211[/tex]

Multiplying the second equation by 2 gives us [tex]32a+2b=166[/tex].

Subtracting this from the second equation, we get that [tex]9a=45 \implies a=5[/tex].

Substituting this back into the first equation, we get that [tex]b=3[/tex].

Therefore, [tex]2a+3b=2(5)+3(3)=19[/tex]

Which of the following is a radical equation?
x StartRoot 3 EndRoot = 13
x + StartRoot 3 EndRoot = 13
StartRoot x EndRoot + 3 = 13
x + 3 = StartRoot 13 EndRoot

Answers

Using it's concept, a radical equation is given as follows:

[tex]\sqrt{x} + 3 = 13[/tex].

What is a radical equation?

A radical equation is an equation in which the variable is inside the radical.

Hence, among the equations given, the radical equation is:

[tex]\sqrt{x} + 3 = 13[/tex].

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Answer:

C

Step-by-step explanation:

took edge test and got 100

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.11 gallons. A previous study found that for an average family the standard deviation is 1.8 gallons and the mean is 16.2 gallons per day. If they are using a 98% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.

Answers

The sample size required is mathematically given as

n=1454

What is the Margin of error?

Generally, the equation for Margin of error is  mathematically given as

[tex]M=Z_{\alpha/2} > \frac{\sigma}{\sqrt{n}}[/tex]

Therefore

[tex]M= 0.11 \leq \frac{ 2.33*1.8}{\sqrt{n}}\\\\\sqrt{n} \leq 38.127[/tex]

n=1453.69.

In conclusion, The sample size required is mathematically given as

n=1454

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someone please help me with this

Answers

Answer:

x = 60 degrees

Step-by-step explanation:

1. We know that a triangle has a total angle of 180. If we look at the image closely, triangle GEH can be found, and since we know two angles, which are 40 and 80, we can find the other angle. 180 - (40+80) = 60. Angle GEH is 60 degrees.

2. If angle GEH is 60 degrees, angle EFD will also be 60 degrees, since they have the same angle side. To prove this, we can use alternate interior angles. This means that if a line crosses two parallel lines, the inner angles made have the same size.

3. Since angle EFD is x, we can find that x is equal to 60 degrees.

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