Is it a function why or why not ??

Is It A Function Why Or Why Not ??

Answers

Answer 1

it is a function because each input (x) has a unique output (y) that is not repeated

Answer 2

In order for a relationship between numbers x and y to be considered a function from x to y, you need to have one unique y for every x. This doesn’t mean that each y needs exactly one x; for instance, the function y = x² is a function from x to y and has two y values associated with most x values (x = 2 and x = -2, for instance, both give you y = 4).

Essentially, if we give a function some x value, we want to know exactly what y value we’re getting out of it.

The pictured table gives you two possible values for x = 2; given a 2 as input, we have no idea whether to go to 1 or 7 for our output, so it would not be a function from x to y.

(Interestingly, a function from y to x would satisfy that “one output per input” requirement, so if you wanted to impress your teacher, you could answer “yes, but only from y to x, NOT x to y”)


Related Questions

Please help me with this. 20 points.

Answers

Answer:A,C

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

Here, m  is the x-value (the independent variable).

The month number m is an integer, so the appropriate number type for the domain of r is integer.

The month numbers run from 1 to 12, inclusive, so the appropriate domain is 1 ≤ m ≤ 12.

URGENT !!!!!!!!!!!!!!!!!

Answers

no, the angles in triangles have to add up to 180 deg. but this adds up to 190

plzzzzz help worth 15 points
Which expression is equivalent to one over threep + 15? one over three(p + 45) one over three(p + 5) 3(p + 45) 3(p + 5)

Answers

Answer:

[tex]\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}[/tex]

Step-by-step explanation:

"one over threep + 15":

[tex]\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}[/tex]

What is the length of segment AB
A. 5
B. 6
C. 8
D. 10​

Answers

Answer:

D. 10

Step-by-step explanation:

The formula of a distance between two points:

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

From the graph we have the points A(6, 2) and B(0, 10). Substitute:

[tex]AB=\sqrt{(0-6)^2+(10-2)^2}=\sqrt{(-6)^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]

The length is D. 10

(x2 - x1)^2 + (y2 - y1)^2

√ (0-6)^2 + (10 - 2)^2

√ (-6)^2 + (8)^2

√ 36 + 64

√ 100 = 10

four less than the quotient of a number x and 4.​

Answers

Answer:

(x/4)   -4

Step-by-step explanation:

quotient means divide

quotient of a number x and 4.​

x/4

four less than

x/4   -4

Answer:

This can be written as x/4 - 4

Step-by-step explanation:

To find this, note that quotient denotes a division problem. Then we subtract 4, since it starts with four less than,

a pool can hold up to 850 gallons. It now has 598 gallons of water and is being filled at the rate shown. How many more minutes, m, can water continue to flow into the pool before it overflows? write and solve an inequality.

Answers

Final answer:

To determine how many more minutes the water can continue to flow into the pool before it overflows, we need to find the value of m that satisfies the inequality 598 + x*m <= 850. The inequality can be rearranged to m >= (850 - 598) / x.

Explanation:

To answer this question, we need to set up an inequality to represent the situation. Let m represent the number of minutes the water can continue to flow into the pool before it overflows.



The pool can hold up to 850 gallons of water, and it currently has 598 gallons. If water is being filled at a certain rate, we can express the rate as gallons per minute. Let's say the rate is x gallons per minute.



So, in m minutes, the pool will have 598 + x*m gallons. To determine how many more minutes the water can continue to flow before it overflows, we need to find the value of m that satisfies the inequality 598 + x*m <= 850.



Now, we can solve this inequality for m by rearranging it: m >= (850 - 598) / x.



This means that water can continue to flow into the pool for m minutes as long as m is greater than or equal to (850 - 598) / x.

Final answer:

To determine how many more minutes water can be added to the pool before it overflows, subtract the current amount of water from the pool's capacity and set up an inequality with the rate of filling. Solve the inequality for the time, represented by 'm', to find the answer.

Explanation:

The student's question relates to finding out for how many more minutes, m, can water be added to a pool before it reaches its full capacity, using an inequality.

Firstly, we need to identify the amount of water the pool can still hold. The pool's total capacity is 850 gallons, and it already contains 598 gallons. Subtracting the current amount from the total capacity gives us the volume that can still be filled:

850 gallons - 598 gallons = 252 gallons

Next, we need to know the rate at which the pool is being filled. Since the rate isn't given in the student's question, let's assume the pool is being filled at the rate of R gallons per minute. We can then set up an inequality to represent the condition that the pool should not overflow:

252 gallons >= R * m

Where m is the number of minutes the water can continue to flow. Dividing both sides by R gives us:

m <= 252 gallons / R

This inequality can be used to solve for m once the actual rate (R) is known. To find the value of m, simply plug in the value of R and calculate.

there are 495 coins in a bottle.
1/3 of the coins are £1 coins.
124 of the coins are 50p coins.
the rest of the coins are 20p.

work out the total value of the 495 coins.

Answers

Answer:

The total value is £268.20.

Step-by-step explanation:

Given : There are 495 coins in a bottle.

1/3 of the coins are £1 coins.

124 of the coins are 50p coins.

The rest of the coins are 20p.

To find : Work out the total value of the 495 coins?

Solution :

According to question,

Total coins = 495

[tex]\frac{1}{3}[/tex] of the coins are £1 coins.

i.e.  The number £1 coins are

[tex]\frac{1}{3}\times 495 =165[/tex]

So, We have £165

124 of the coins are 50p coins.

50p=£0.50

Number of coins were

[tex]124\times0.50 =62[/tex]

So, We have £62 .

Remaining coins were,

[tex]495-(124+165)=206[/tex]

i.e. remaining coins are 206 are of 20p.

20p=£0.20

Number of coins were

[tex]206\times0.20 =41.20[/tex]

So, We have £41.20 .

Now, Adding all of them together,

i.e. £165+£62+£41.20=£268.20

So, The total value is £268.20.

which of the following will always determine exactly one triangle

Answers

Answer:

Which of what following? There's no options.

Step-by-step explanation:

Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. What fraction of the tomatoes did mrs Jenkins use to make the salad?

Answers

Answer:

Final answer is 1/3.

Step-by-step explanation:

Question says that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. After that  she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

As she used 5/9 of the tomatoes to make pasta sauce.

Now remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

Cube A has a side length of 3 meters and cube B has a side length of 6 meters. Calculate the volume of the two cubes. Which statement accurately represents the relationship between the two volumes? A) The volume of cube A is half the volume of cube B. Eliminate B) The volume of cube B is 4 times the volume of cube A. C) The volume of cube B is 6 times the volume of cube A. D) The volume of cube B is 8 times the volume of cube A.

Answers

Answer: The correct answer is choice D.

Step-by-step explanation: In order to answer this question you need to calculate the volume of each of the cubes.

Cube A has a side which is 3 meters, so the volume = 3 x 3 x 3 = 27

Cub B has a side which is 6 meters, so the volume = 6 x 6 x 6 = 216

216/27 = 8. Therefore, the volume of cube B is 8 times the volume of cube a.

Final answer:

The volume of cube A is 27 cubic meters and the volume of cube B is 216 cubic meters. Cube B's volume is 8 times greater than cube A's. The correct answer is option D)

Explanation:

The volume of a cube is calculated by cubing the length of its side. So, the volume of cube A is 3 meters x 3 meters x 3 meters = 27 cubic meters. The volume of cube B is 6 meters x 6 meters x 6 meters = 216 cubic meters. Comparing the volumes, cube B's volume is 216/27 = 8 times greater than the volume of cube A. Therefore, the statement that accurately represents the relationship between the two volumes is option D) The volume of cube B is 8 times the volume of cube A.

Learn more about Volume of Cubes here:

https://brainly.com/question/31600527

#SPJ2

Solve the equation
7v=1+8v​

Answers

Answer:

v = -1

Step-by-step explanation:

Solve for v:

7 v = 8 v + 1

Subtract 8 v from both sides:

7 v - 8 v = (8 v - 8 v) + 1

7 v - 8 v = -v:

-v = (8 v - 8 v) + 1

8 v - 8 v = 0:

-v = 1

Divide both sides by -1:

Answer:  v = -1

PLZ HELP QUICK










President Monroe's decision to appoint John Quincy Adams as Secretary of State was partially intended to
A. End the institution of slavery.
B.end the War of 1812.
C.end the "Virginia Dynasty."
D.end the "Massachusetts Dynasty."



Answers

Answer:

B

Step-by-step explanation:

Adams headed the Commission that negotiated the Treaty of Ghent in 1814, which ended the War of 1812 with Great Britain.

Which of the following could be a function with zeros of -3 and two?

Answers

Answer:

x^2+x-6

Step-by-step explanation:

We just find the factored form of the equation which would be (x+3)(x-2).

Then we multiply it out to get x^2+x-6

a motorboat maintains a constant speed of 38 miles per hour. it takes 30 minutes to travel upstream and 27 minutes back. what is the speed of current?​

Answers

Answer:

r = 2 [stream's speed is 2 mph downstream

Step-by-step explanation:

Remark

The distances traveled [upstream and downstream] are the same.

If it takes longer to go upstream, it means the speed of the current is going against him. So the rate is 38 - r where r is the speed of the current.

The rate of the downstream is 38 + r because it takes him less time to go downstream and the current is helping him go.

The times are given

Givens

Time Upstream = 30 minutesTime Downstream = 27 minutesDistance upstream = d1Distance downstream = d2rate upstream:        38 - rrate downstream: 38 + rd1 = d2

Formula

d1 = d2

d1 = (38 - r) * 30

d2 = (38 + r) *27

(38 - r) * 30 = (38+r)*27

Solution

Remove the brackets on both sides.

38*30 - 30*r = 38*27 + 27r                    Add 30r to both sides

38*30 - 30r + 30r =38*27 + 27r + 30r  Combine the numbers

1140 = 1026 + 57r                                   Subtract 1026 from both sides.

114 = 57r                                                  Divide by 57

114/57 = 57r/57

r = 2

Maria ate 1/4 of a pizza. If there were 20 slices of pizza, how many slices did Maria eat?

Answers

Answer:

Step-by-step explanation:

1/4x20=5 so Maria ate 5 slices of pizza.

Need step by step ASAP please

Answers

Answer:

C. 8x+80.

Step-by-step explanation:

To make this a simple expression, we need to distribute the 8 into x+10. We do this by multiplication. 8*x=8x. 8*10=80. Our new equation is 8x+80.

a soccer team played 47 games and won 33.Rounding to the nearest whole number,what percent of its games did the team win?

Answers

Answer:

70%

Step-by-step explanation:

1. divide the number of games won (33) by the total number of games (47)

    33/47 = 0.702

2. Move the decimal two places to the right = 70.2%

3. round down to 70%

Final answer:

The soccer team won 70% of its games after calculating the fraction of games won, converting it to a decimal, then to a percent, and finally rounding to the nearest whole number.

Explanation:

To calculate the percent of games won by the soccer team, we divide the number of games won by the total number of games played and then multiply by 100 to convert the fraction to a percentage.

Step 1: Find the fraction of games won: 33 (games won) ÷ 47 (total games).

Step 2: Convert the fraction to a decimal: 33 ÷ 47 = 0.7021.

Step 3: Convert the decimal to a percent: 0.7021 × 100 = 70.21%.

Step 4: Round to the nearest whole number: 70.21% rounded to the nearest whole number is 70%.

Therefore, the soccer team won 70% of its games.

Factor 35x+10x-5 please explain your work

Answers

[tex]\bold{Hey\ there!} \\ \\ \bold{Combine\ like\ terms\downarrow} \\ \bullet\bold{35x\ \&\ 10x} \\ \bold{35x+10x=45x} \\ \\ \bold{Since,\ -5\ doesn't\ have\ any\ like\ terms\ it\ stays\ the\ same!} \\ \\ \\ \boxed{\boxed{\bold{Answer:45x-5}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ day!} \\ \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

If g(x) is the inverse of f(x) and f(x)=4x+12, what is g(x)?

g(x)=12x+4

g(x)=1/4x-12

g(x)=x-3

g(x)=1/4x-3

Answers

Answer: Last option.

Step-by-step explanation:

To find the inverse of the function f(x), you must follow the proccedure shown below:

- Rewrite the function,as following:

[tex]y=4x+12[/tex]

- Solve for x. Then:

[tex]y-12=4x\\x=\frac{1}{4}y-\frac{12}{4}\\\\x=\frac{1}{4}y-3[/tex]

- Now, substitute y with x.

Therefore, you obtain that the inverse function g(x) is the following:

[tex]g(x)=\frac{1}{4}x-3[/tex]

Then, the answer is the last option.

Answer:

Last choice is the answer.

Step-by-step explanation:

We have given a function.

f(x) = 4x+12

We have to find the inverse of given function.

Let y  = f(x)

y = 4x+12

Solving for x, we have

x = 1/4y-3

Since, x =  f⁻¹(y)

 f⁻¹(y) =  1/4y-3

Replacing y with x , we have

f⁻¹(x) = 1/4x-3

Given that g(x) = f⁻¹(x)

g(x) = 1/4x-3 which is the answer.

Which of these are greater than 1.27 CHOOSE ALL ANSWERS THAT APPLY

Answers

Answer:

Choices A and C

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

We can see in the graph that it is done by ticks of 1/10s

Therefore we can determine that point A is on 1.6.

Since 1.6 > 1.27, this is true.

1 one and 7 hundreths is 1.07

And since 1.07 < 1.27, this is not true.

Finally 27 tenths is the equivalent of 2.7

2.7 > 1.27 so this is true.

Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu,
to maximize profits. The taco truck's owner decides to adjust the price per taco and record data on the
number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells
an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos
sold per day decreases by 7. The owner can calculate the daily revenue using the polynomial
expression -7x2 + 32x + 240, where x is the number of $1 increases in the taco price. In this activity.
you'll interpret and manipulate this expression and the scenario it represents.
Part A
What is the constant term in the polynomial expression -7x2 + 32x + 240, and what does it
represent?

Answers

The constant term is "240." The number represents the daily revenue when the price of a taco is 0 dollars.

Answer:

The constant term is 240. It represents the initial daily revenue.

Step-by-step explanation:

It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu,  to maximize profits.

The owner can calculate the daily revenue using the polynomial  expression

[tex]-7x^2+32x+240[/tex]

where x is the number of $1 increases in the taco price.

Constant term does not contain any variable.

In the given expression 240 is free from variable x. So, the constant term is 240.

The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.

Therefore the constant term is 240 and it represents the initial daily revenue.

Which property of inequality should you use to solve 3x ≤ 27?

Answers

division property would help you solve this inequality

A basketball team will play 12 home games during the season. it has played 6 home games so far. of the season's remaining games,1/3 will be played at home. The equation 1/3g+6=12 can be used to find the the total number of games,g,remaining this season. How many games,g,remain in the season ​

Answers

Answer:

18

Step-by-step explanation:

⅓g + 6 = 12

⅓g       =  6     Subtracted 6 from each side

   g      = 18     Multiplied each side by 3

18 games remain in the season.

Check:

⅓ × 18 + 6 = 12

   6     + 6 = 12

           12 = 12

What is the exact value of tan (-x/3)

Answers

Final Answer:

The exact value of [tex]\(\tan\left(\frac{-x}{3}\right)\)[/tex] is [tex]\(-\tan\left(\frac{x}{3}\right)\).[/tex]

Explanation:

To find the exact value of [tex]\(\tan\left(\frac{-x}{3}\right)\),[/tex] we can use the periodicity property of the tangent function. The tangent function has a period of [tex]\(\pi\),[/tex] which means that [tex]\(\tan(\theta) = \tan(\theta + \pi)\)[/tex].

Therefore, [tex]\(\tan\left(\frac{-x}{3}\right)\)[/tex] is equivalent to [tex]\(\tan\left(\frac{-x}{3} + \pi\)\).[/tex] Additionally, the tangent function is an odd function, so [tex]\(\tan(-\theta) = -\tan(\theta)\). Combining these properties, we get \(\tan\left(\frac{-x}{3}\right) = -\tan\left(\frac{x}{3}\right)\).[/tex]

In summary, the exact value of [tex]\(\tan\left(\frac{-x}{3}\right)\) is \(-\tan\left(\frac{x}{3}\right)\)[/tex] due to the periodicity and odd function properties of the tangent function.

Which of the following is a polynomial function in factored form with zeros at -8,-1 and 3

Answers

Answer:

[tex]\large\boxed{y=a(x+8)(x+1)(x-3)}[/tex]

Step-by-step explanation:

[tex]\text{Factored form:}\\\\y=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1,\ x_2,\ x_3-zeros\\\\\text{We have}\ x_1=-8,\ x_2=-1\ \text{and}\ x_3=3.\ \text{Substitute:}\\\\y=a(x-(-8))(x-(-1))(x-3)\\\\y=a(x+8)(x+1)(x-3)\\\\\text{Where}\ a\neq0\ (\text{any real number except 0})[/tex]

solve the simultaneous equations y =x+2 and x + y = 3

Answers

Answer:  [tex]\bold{\bigg(\dfrac{1}{2},2\dfrac{1}{2}\bigg)}\qquad \implies \qquad \bold{\bigg(\dfrac{1}{2},\dfrac{5}{2}\bigg)}[/tex]

Step-by-step explanation:

y = x + 2       x + y = 3

Solve using Substitution Method by replacing y with x + 2:

                    x + (x + 2) = 3

                         2x + 2 = 3

                         2x       = 1

                           x        = [tex]\dfrac{1}{2}[/tex]

Next, replace x with 1/2 in one of the original equations and solve for y:

y = x + 2

  = [tex]\dfrac{1}{2}[/tex] + 2

  = [tex]2\dfrac{1}{2}[/tex]

Answer:

x = 1/2

y = 5/2

Step-by-step explanation:

So we're gonna use the elimination method, by eliminating one of x or y to find the value of the other one.

y = x + 2 --------------(1)

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

In (1), x is in LHS and y is in RHS. To make things simpler, we take both x and y to the same side.

y           = x + 2

y - x      = x + 2 - x ( take x to the other side)

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

Note that in (2), x is positive and in (3), x is negative. So by adding these two, we can single out y because +x and -x cancels out. So we can eliminate x.

(3) +  (1) : (x+y) + (y- x) = 3 + 2

              2y                 = 5

              y                   = 5/2

Substituting y = 5/2 for (1),

5/2 - x  = 2

5/2       = 2 + x

5/2 - 4/2 = x

x   = 1/2

∴ x = 1/2

  y = 5/2

Hope i helped you :)

               

Which of the following inequalities match the statement “nine is more than a number”? 9 < n 9 ≥ n 9 ≤ n 9 > n

Answers

The correct answer is 9>n since it doesn't say greater than or equal to, we can cross out the 2 and that leaves us with 9<n and 9>n but it actually says 9 is more than a number so that leaves us with 9>n

What is the solution to the system of equations? 3x-6 = -12
x-2y = -8

(a) Use the substitution method to justify that the given system of equations has no solution.
(b) What do you know about the two lines in this system of equations?

Answers

Answer:

Part a) In the procedure

Part b) Line A and Line B are different parallel lines

Step-by-step explanation:

Part a) we have

[tex]3x-6y=-12[/tex] ----> equation A

[tex]x-2y=-8[/tex] ----> equation B

Isolate the variable x in the equation B

[tex]x=2y-8[/tex]

Substitute the value of x in the equation A

[tex]3(2y-8)-6y=-12[/tex]

[tex]6y-24-6y=-12[/tex]

[tex]-24=-12[/tex] ------> is not true

therefore

The system of equations has no solutions

Part b) What do you know about the two lines in this system of equations?

[tex]3x-6y=-12[/tex] ------> equation A

isolate the variable y

[tex]6y=3x+12[/tex]

[tex]y=(1/2)x+2[/tex]

[tex]x-2y=-8[/tex] -------> equation B

isolate the variable y

[tex]2y=x+8[/tex]

[tex]y=(1/2)x+4[/tex]

Line A and Line B are parallel lines, because their slopes are the same

Line A and Line B are different lines because their y-intercept is not the same

the size of an iPod would be what aspect of the product

A. quality

B. benefit

C. feature

D. asset

Answers

Your answer to this question is C feature.

Answer:

C: feature

that is the correct answer

If a wheel has a diameter of 15 centimeters what is the area of the wheel nearest centimeter

Answers

Answer:

A = 177 cm²

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the diameter

d = 15cm, then the radius r = (15cm) : 2 = 7.5cm.

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

Substitute:

[tex]A=\pi(7.5)^2=56.25\pi\ cm^2[/tex]

[tex]\pi\approx3.14[/tex]

Then

[tex]A\approx(56.25)(3.14)\approx177\ cm^2[/tex]

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