For the following relation, give the domain and range, and indicate whether it is a function.{(1, 2), (7, 8), (6, 4), (7,5)}Domain: {Range:{Is it a function?Select an answeryesno

Answers

Answer 1

We have the following relation, given as follows:

$\lbrace(1,2),(7,8),(6,4),(7,5)\rbrace$

And we need to find the domain and the range of that relation, and determine if the given relation is a function.

1. To find the domain, we already know that the domain of a relation (or a function) is the set of all the inputs. In this case, the inputs are given by the first element of the coordinates pairs: 1, 7, 6, 7. However, since in a set we do not repeat the given values, then the elements of the domain are:

$\text{ Domain:}\lbrace1,6,7\rbrace$

2. To find the range in the given relation, we can proceed in a similar way as before. However, we need to select the second element of the given coordinate pairs: 2, 8, 4, and 5.

We know that the range of a function is the set of outputs of the relation (or of a function). That is, after following the rule of the function, we get the result, and this result will be the range of the relation (or of a function). Therefore, the range can be written as:

$\text{ Range: }\lbrace2,4,5,8\rbrace$

3. To determine if the relation is a function, we need to remember that the key fact that makes a relation a function is that there will be exactly one output for each input.

In this case, we can see that input 7 has two outputs: 8 and 5. Therefore, this relation is NOT a function.

And we can see that, graphically, as follows:

Therefore, in summary, we have:

• Domain: {1, 6, 7}

• Range: { 2, 4, 5, 8}

• Is it a function?: No

Related Questions

Describe how you can use the factors of a quadratic function to find its zeroes. (Please try to answer it specifically)

Answers

Oce we have the factors, we must equal each factor to zero, then we solve for x to find the zeroes of the equation.

Ex.

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

the factors are (x - 3) and (x + 2)

Equal to zero

x - 3 = 0 x + 2 = 0

Solve for x

x = 3 x = -2 and these are the zeroes of the

equation.

Answer:

To find de ceros you can take each factor and use the 0 product property, then you solve to find the value of the cero.

Can someone please tell me the answer

Answers

Answer:

E, 5, 3

Step-by-step explanation:

We just need to connect the rectangle with dots equally placed.

what number is 7 hundredths greater than 5.25

Answers

Answer:

36,750.

Step-by-step explanation:

The way to determine the number that is seven hundred times greater than 5.25 is by multiplying those numbers, the result being the number in question.

Thus, the following multiplication must be performed:

700 x 5.25 = X

3,675 = X

Thus, the number that is seven hundred times greater than 5.25 is 3,675.

help!!!

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC

Answers

The segment lengths are given as follows:

BD = 7.BC = $7\sqrt{2}$

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.

Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:

BD² = 7 x 7

BD² = 7²

BD = 7.

The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:

(BC)² = 7² + 7²

$BC = \sqrt{2 \times 49}$

$BC = 7\sqrt{2}$

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Please help!!
Thank you

Answers

Answer:

the answer to this particular question is c

The temperature of a refrigerator when it is first plugged in can be modelled by the function y = - 4x + 70 , where y represents the degrees Fahrenheit inside the fridge and x represents the number of hours since it was first plugged in . What is the rate of change of the temperature of the fridge ?

Answers

The rate of change in the temperature of the fridge is -4

Rate of change

Given the temperature of a refrigerator when it is first plugged in can be modeled by the function y = - 4x + 70

Get the required rate

where

y represents the degrees Fahrenheit inside the fridge and;x represents the number of hours since it was first plugged in

The rate of change of temperature of the fridge is expressed as:

$\frac{dy}{dx} =-4 +0\\\frac{dy}{dx} =-4$

Hence the rate of change in the temperature of the fridge is -4

Learn more on rate of change here: https://brainly.com/question/8728504

A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?

Answers

Answer:

25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Step-by-step explanation:

Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:

25 x 1 + 5 x 0 = 25

25 x 0.9 + 5 x 0.1 = 23

25 x 0.8 + 5 x 0.2 = 21

25 x 0.7 + 5 x 0.3 = 19

25 x 0.6 + 5 x 0.4 = 17

25 x 0.5 + 5 x 0.5 = 15

25 x 0.4 + 5 x 0.6 = 13

25 x 0.3 + 5 x 0.7 = 11

25 x 0.2 + 5 x 0.8 = 9

Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:

25 x 0.25 + 5 x 0.75 = 10

Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Please help! I’ll mark brainliest ASAP

Answers

Answer:

Given:

Amount made by each computer programmer = $10⁵Number of computer programmers = 10⁶

Solution:

The total money can be found using; = Amount made by each programmer x number of programmers

= $10⁵ x 10⁶

= $10¹¹

As a power of ten, the amount made is $10¹¹

In dollar amount = $100,000,000,000

The total distance a ball rolls varies directly with the time in seconds. The ball rolls a total distance of 78 centimeters in 6 seconds.

What is the time in seconds the ball rolls when the total distance is 130 centimeters?

10 s

13 s

22 s

25 s

Answers

The time the balls roll when the total distance is 130 cm is 10 seconds.

let

d = total distance the ball rolls

t = time in seconds

The total distance is directly proportional to the time in seconds. Therefore,

d ∝ t

d = kt

where

∝ is the proportionality sign

k = constant of proportionality

when d = 78 cm, t = 6 seconds

Therefore, let's find the constant of proportionality.

k = d / t

k = 78 / 6

k = 13

The constanst of proportionality is known . Now let's find the time(seconds) when d = 130 cm .

d = kt

make t the subject of the formula

t = d / k

t = 130 / 13

t = 10 secs

read more: https://brainly.com/question/23285852?referrer=searchResults

Last year, Gina's sweet potato farm produced 337 tons of sweet potatoes. This year, the sweet potato production increased by 40%. How many tons of sweet potatoes did Gina's farm produce this year? 427 tons 425 tons 447 tons 445 tons

Answers

So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

What you mean by increasing?

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

To learn more about increase:

https://brainly.com/question/9895771

#SPJ1

The price of a car has been reduced from $16,500 to $11,055. What is the percentage decrease of the price of the car?

Answers

Answer:

33%

Step-by-step explanation:

$16,500-$11,055= $5,445

$5,445÷$16,500= 0.33 which in percentage format is 33%

HOPE THIS HELPS! MARK BRAINLIEST PLEASE!!!!!

There is a decrease of $5445, meaning it decreased by 33%. I’m pretty sure this is right but I’m really sorry if it’s not

Solve each system by elimination.

3) 3x + 4y = 12
-3x - y = 6

4) -5x – 6y = 5
-6x + 6y = 6

5) 7x - 4y = 19
10x - 2y = 16

6) 10x - 9y=-13
5x – 3y =-11

Answers

Answer:

3) x = -4 and y = 6

4) x = -1 and y = 0

5) x = 1 and y = -3

6) x = -4 and y = -3

Step-by-step explanation:

3) Add the equations:

(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)

= 3y = 18

y = 18/3

y = 6

3x + 4(6) = 12

3x = 12 - 24

x = -12/3 = 4

4) Add the equations:

(-5x - 6y = 5) + (-6x + 6y = 6)

-11x = 11

x = -1

-5(-1) -6y = 5

-6y = 5 - 5

y = 0

5) 7x -4y = 19

10x - 2y = 16

Multiply the second equation by -2 to eliminate the y and add both equations.

-2(10x -2y = 16) =

(-20x + 4y = -32) + (7x - 4y = 19)

-13x = -13

x = 1

7(1) - 4y = 19

-4y = 19-7

y = 12/-4

y = 3

6) multiply the second equation by -2 to eliminate the x and then add the equations.

-2(5x - 3y = - 11) =

(-10x + 6y = 22) + (10x - 9y = - 13)

= -3y = 9

y = - 3

10x - 9(-3) = - 13

10x = -13 - 27

x = -40/10

x = -4

HELPPP ASPA 60 POINT!!!!!Show to draw a line segment that measures 92 millimeters. i need it to be in words not a photo please

Answers

A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

Learn more about Line Segments here :

https://brainly.com/question/9477630

#SPJ1

The half-life of a radioactive isotope is 140 days. In how many days does the decay rate of a sample of this isotope decrease to one fourth its initial decay rate? A) 35 days B) 70 days C) 105 days D) 210 days E) 280 day

Answers

Answer:

It mus be 70 because you half 140 hence its called 'half life'

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:226
Step-by-step explanation:
Surface area =S
To find the surface area we have to apply formula :S=(2×Base Area) +(base prism×height)
Where, base area=11cm
Base prism=8.5cm, Hight =24cm to solve(2×11cm)+(8.5cm×24cm)=226cm

Please help me on this geometry question. Use a trig function to find the missing side to the nearest 10. Please show step by step

Answers

Answer:

x = 42.9

Step-by-step explanation:

We can let 34 represent the reference angle. Using this angle, we see that the side measuring 24 units is the opposite side and the side measuring x is the hypotenuse.

Thus, we can use the sine trig function which is

$sin(angle)=\frac{opposite}{hypotenuse}$

We plug in what we have into the equation above and solve for x:

$sin(34)=\frac{24}{x}\\ x*sin(34)=24\\x=\frac{24}{sin(34)}\\ x=42.9189996\\x=42.9$

please help please...

Answers

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

What is the transformation of geometry over the coordinate plane?

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Learn more about transformation here: https://brainly.com/question/18065245
#SPJ1

help with this question

Answers

Answer: choice D) $(y-x)(y-z) \le 0$

=====================================================

Explanation:

Unfortunately, we don't have enough info to determine what x,y, and z are.

However, we do know that x < y < z is the case. Though to be more technical, x = y or y = z could be possible, but for now we'll ignore these cases.

So we'll focus on x < y < z.

This is true because 25% of the values are below x and 50% of the values are below y. So naturally x is smaller than y. Also, 75% of the values are smaller than z, so z is the largest of the three values.

Since x < y, this makes 0 < y-x when you subtract x from both sides. This is the same as saying y-x > 0. So y-x is positive.

On the other hand, because y < z, this leads to y-z < 0. So y-z is negative.

We have

y-x is some positive valuey-z is some negative value

therefore, (y-x)(y-z) = (positive)*(negative) = negative

Overall,

(y-x)(y-z) < 0

So far, we can see that we have strict inequality. However, it is possible to have x = y or y = z be possible. Consider a set like {5,5,5,7,9}. You should find that Q1 = 5 and Q2 = median = 5 also. This example is one of infinitely many where x = y. Due to something like this, we must update (y-x)(y-z) < 0 into $(y-x)(y-z) \le 0$

...................................................................

Answers

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Which linear equation shows a proportional relationship?

y equals negative 2 times x minus one third
y equals one third times x minus 1
y equals five sixths times x
y equals 5 times x plus 3

Answers

The proportional relation is the third one.

y = (5/6)*x

Which linear equation shows a proportional relationship?

A general linear equation in the point-slope form is written as:

y = a*x + b

Where the a is the slope, and b is the y-intercept.

Particularly, a proportional relation is a linear equation where the y-intercept is equal to zero

y = a*x

And in this case, the slope is also called a constant of proportionality.

Then from the given options, the one that is a proportional relation is:

y = (5/6)*x

Which is the third option, counting from the top.

If you want to learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

The state transportation commission counted cars traveling east and west across a toll bridge. 75% of the 588 cars counted were traveling east. How many eastbound cars did the commission count?

Answers

Answer: the answer is 441

Step-by-step explanation: 75% of 588 is 441

Differentiate between equity and equality in mathematics class.

Answers

Equality means each individual or groups of people is given the same resources or opportunities. Equity recognizes that each person has different circumstances and allocates the exact resources and opportunities needed to reach an equal outcome.

PLZ ANSWER IF U KNOW THE ANSWER

Answers

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

What is the Measure of angle AOE in the figure below?

Answers

Answer:

The answer is D: 130

Step-by-step explanation:

(3x-28) +90+(66-x) = 180

2x + 128 = 180

2x = 52

x = 26

Therefore Angle AOE = 90 + (66-26)

= 130

To increase an amount by 48% multiply by

Answers

0.48

Step-by-step explanation:

to increase an amount by 48%

you divide 48 with 100 to find the multiplier

which is 0.48

multiply 0.48 to an number to find 48%

Whats 5x6 what if it’s division

Answers

Answer:

Step-by-step explanation:

5x6=30

5/6= 5 over 6

WILL GIVE BRAINLIEST

1. Find the equation of the line graphed at right.

2. What are its
x and
y intercepts?

Answers

Step-by-step explanation:

Hopefully this helps you.

"11 minus a number" is the same as

Answers

x - 11 is what I think. Sorry if I’m wrong

The expression ''11 minus a number'' can be expressed algebraically using the expression; 11 - x

What is an algebraic expression?

An algebraic expression is a mathematical phrase, which contains, operators, variables and numbers.

''11 minus a number'' can be written as an algebraic expression. Where x represents the unknown number, then the expression for ''11 minus a number'' would be 11 - x. The expression 11 - x represents the value obtained when an unknown number x is subtracted from 11

Learn more on algebraic expressions here: https://brainly.com/question/33666592

#SPJ6

Josiah rides his bike 18 miles in 2 hours. If he rides at a constant speed, select the answers below that are equivalentratios to the speed he rides. Select all ratios that are equivalent.