determnine if each table shown below represents a function or not.

Determnine If Each Table Shown Below Represents A Function Or Not.

Answers

Answer 1

Answer:

Table 1 does not represent a function.

Table 2 does not represent a function.

Step-by-step explanation:

                                                 Table 1

Input (x)               1             3          5              5           9        

Output (y)             7            16         19             20       28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 1 does not represent a function.

                                              Table 2

Input (x)               0.5         7          7               12        15      

Output (y)              1           15         10             23        30

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 2 does not represent a function.

Conclusion:

We have concluded that both tables do not represent the function.


Related Questions

Solve the system by subtitution y = 3x + 18 y = 5x

Answers

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides     18=2x

simplify for x       x=9

The required solution to the given system of equations is (x, y) = (9, 45).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given the question as:

y = 3x + 18

y = 5x

To solve this system of equations by substitution, we can start by substituting the equation y = 3x + 18 into the second equation, which gives us:

5x = 3x + 18

Then we can solve this equation for x:

2x = 18

x = 9

Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y:

y = 3x + 18 = 3(9) + 18 = 27 + 18 = 45

Therefore, the solution to the system of equations is (x, y) = (9, 45).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

calculate the volume of a pentagonal prism with: side length = 16, apothem= 11cm, and height= 4cm​

Answers

Answer:

:)

Step-by-step explanation:

The answer is ≈1761.76886

PLSSSS HELPPPPPP ME WITH MATHHH

Answers

Answer:

x = 62

Step-by-step explanation:

If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees)  and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.

The answer is x=62 for sure

Please help, 20 points.​

Answers

Answer:

B

Step-by-step explanation:

3×+ 4y =24

3x -y = 3 It is just like algebra I might be wring but I tryed

B

Step-by-step explanation

3x + 4y = 24
3x - y = 3

Pls give me BRAINLIEST

factor x^3 +7x^2−5x−35

Answers

Answer:

(x^2-5)(x + 7)

Step-by-step explanation:

Here, we want to factorize the given expression

That would be;

x^2(x + 7) - 5(x + 7)

= (x^2-5)(x+ 7)

Answer:

(x+7) (x^2 - 5)

Step-by-step explanation:

x

3

+7x

2

−5x−35

=x

2

(x)+x

2

(7)−5(x)−5(7)

=x

2

(x+7)−5(x+7)

Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:

\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}

 

=x

2

(x+7)−5(x+7)

=(x+7)(x

2

−5)

graph the circle (x+2)^2+(y-6)^2=9

Answers

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

I did this on desmos I hope it helps

. _ .
................​

Answers

Hey there!

I believe the answer to your question is 24.

If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.

Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.

the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0

Answers

the solutions are x=-4 ; x=1 ; x=8

All real solutions of the function  y=f(x) are x = -4 and x = 4

What is a solution ?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

we are Given graph in the attachment represents the function y = f(x)

Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.

Thus the graph of the function touches and crosses at x = -4 and x = 4

Therefore, all real solutions of the function  y=f(x) are x = -4 and x = 4

Learn more about solutions of a equation here:

https://brainly.com/question/15582302

#SPJ5

1. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?

Answers

Answer:

[tex]\boxed {\boxed {\sf \$300.00}}[/tex]

Step-by-step explanation:

The formula for simple interest is:

[tex]I=P*R*T[/tex]

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.

We must convert the interest rate to a decimal.

Divide by 100 or move the decimal place two spots to the left. 6/100=0.06      or       6.0 --> 0.6 --> 0.06

Now we know all the values.

[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]

Substitute the values into the simple interest formula.

[tex]I= (2500)(0.06)(2)[/tex]

Multiply.

[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]

The simple interest is $300.00

[tex] \bf \underline{Given :-}[/tex]

[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]

[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]

[tex] \sf• \: Time \: (t) = 2 \: years[/tex]

[tex] \\[/tex]

[tex] \bf \underline{To \: Find :-}[/tex]

[tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]

[tex] \\ [/tex]

[tex] \bf \underline{Solution :-}[/tex]

[tex] \sf We \: know \: that, [/tex]

[tex] \red {\bigstar\bf { \: I = prt}}[/tex]

[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]

[tex]⟹I = 300[/tex]

[tex] \\ [/tex]

[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]

Justin is training to run in a 5-mile race. To practice, he ran 15 miles in one week. How many yards did he run in that week?

Answers

Answer:

26,400

Step-by-step explanation:

The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?

Answers

Answer:

The volume of the shark tank is [tex]2160 m^3[/tex]

Step-by-step explanation:

The tank is in the shape of a rectangular prism.

The length of the tank, [tex]l=18[/tex] m.

The width of the tank, [tex]w=15[/tex] m.

The height of the tank, [tex]h=8[/tex] m.

We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].

So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]

Hence, the volume of the shark tank is  [tex]2160 m^3[/tex].

Jake said he can find 630 ÷ 10 by taking the 0 off of 630 to get 63. Jake finds 35.270 ÷ 10 using the same method and gets 35.27. Use the drop-down menus to complete the statement about why Jake is correct or incorrect.

Answers

Answer:

Jake is incorrect with his methodology for solving these problems

Step-by-step explanation:

Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27

Answer:

Step-by-step explanation:

What is One-third of Four-fifths?

One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths

Answers

seven-fifteenths is your answer

HELP! Can someone please explain to me how to solve this question?
"At what point do the equations intersect? y = 25x + 54 and y = 15x + 14

Answers

Answer:

[tex](-3.1, -32.5)[/tex]

Step-by-step explanation:

Set the equations equal to each other: 25x+45=15x+14

Solve for x: 10x = -31

Solve for x: x=-3.1

Plug the x value back into one of the equations to find the value of y:

y = 15 (-3.1) +14

y = -32.5

Answer:

7,68

Step-by-step explanation:

y=2x+54

y=15x+14

you can do elimination so you need to multiply the x's by -15 and 2

y=-30x+54

y=30x+15

the x's are canceled out and you add the remaining

y=54. y=68

y=15

To find x you makes an equation of one of the equations given

68=2x+54

14=2x

7=x

Which is the better value?

A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70

Answers

A. 6 ounces of hot cheetos

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

CORRECT ANSWER WILL BE MARKED BRAINLIEST!!
select the correct answer from each drop down menu. a parallelogram has the points L(-2,-2), M(-4,2), O(6,2), and P(8,-2).


If the parallelogram is dilated by a scale factor of 1/2, the points of the dilated figure are

L'-----, M'-----, O'-----, and P'----- (----- means blank)

Answers

To create the new figure, we must multiply each coordinate by the scale factor, which is 1/2 in this case.

So j(-2,2) becomes j'(-1,1)

K(4,2) becomes K'(2,1)

L(4,-2) becomes L'(2,-1)

and M (-2,-2) becomes M'(-1,-1)

The scale factor is between 1 and 0 which means that this dilation is a reduction that will shrink the original figure to a smaller one.

Answer:

This is the CORRECT answer

L' ( -2,-2) = ( -1,-1)

M' ( -4,2) = ( -2,1)

O' ( 6,2) = ( 3,1)

P' ( 8, -2) = (4, -1)

please answer 4b + 10 = 70

Answers

Answer:

b=15

Step-by-step explanation:

I really need help with my questions I just posted please help

Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Answers

Answer:

The answer is below

Step-by-step explanation:

Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.

a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.

b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Solution:

a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.

Using Pythagoras law for right angled triangle, we get that:

x² = 2.3² + 1.8²

x² = 8.53

x = √8.53

x = 2.9 miles to the nearest tenth

b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.

Let x = length of a straight line between Calvin's house and the music school. Hence:

x² = 1.8² + 1.4²

x² = 5.2

x = √5.2

x = 2.3 miles to the nearest tenth

answer these 2 questions if ur smart?!?!?

Answers

1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2

2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=

=8x^3+10x^2+12x+15-8x^3+16x=

=10x^2+28x+15

Answer:

1. [tex]8x^2+xy-15y^2[/tex]           2. [tex]10x^2 + 28x + 15[/tex]

Step-by-step explanation:

For Question 1:

[tex](4x + 5y) (2x - 3y) + 3xy[/tex]

= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]

[tex]=8x^2+xy-15y^2[/tex]       (cannot simplify any further)

For Question 2:

[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]

[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]

[tex]=10x^2 + 28x + 15[/tex]         (cannot simplify any further)

HELP!! VERY TIME TIME SENSITIVE

Point A lies on the graph of f(x) = 1/2x + 2. Locate the image of point A that lies on the graph of f^-1(x)
A.) (-2, 1)
B.) (2, -1)
C.) (-1, 2)
D. (1, -2)

Answers

Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

What is Inverse of function?

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

Learn more about Inverse of Function here:

https://brainly.com/question/2541698

#SPJ2

Simplify: -x - 4x + 2

Answers

Answer:

5x+2

Step-by-step explanation:

:)

Answer:

16x little 2 on top - 40xy + 25y little 2 on top

Step-by-step explanation:

Please help!!!

composition of functions

g(x)=2x-5 h(x)=x^2-2

find g(h(-8))

Answers

Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

g(x)=2x-5h(x)=x²-2

To determine

g(h(-8)) = ?

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

g(h(-8)) = 119

Answe please BEN..........

Answers

Answer:

its the first one

Step-by-step explanation:

t - 3 > -5

 +3  > +3

___________

t      >  -2

t is greater than -2 so the line should point to the right, and it should be an empty circle on -2 because it is not a greater than or equal to sign.

Answer:

t>-2

Step-by-step explanation:

Treat this like an equation and add -3 to both sides:

t>-2

The correct choice should be #1

The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?

Answers

Answer:

6 days

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days

Need help please asap

Answers

The diameter is 10.64ft

Answer:

the radius is 2.66ft

Step-by-step explanation:

my process of elimination:

first one: ❌ the radius is half of the length across (the dot) so 5.32ft divided by 2 it would be 2.66ft

sec. one: ❌ unlike the radius (which is half of the length across) the diameter is the full length across so the diameter would be 5.32ft

third one: ❌ actually almost tricked me then I remembered the circumference is for all around. this measurement only accounts for the diameter (5.32ft) and the radius (2.66ft)

fourth one: ✅simply was the truth. the radius is half of the diameter so if the diameter is 5.32ft then the radius is 2.66ft

I hope this helps I totally understand the struggles of math

algebraic form of the square of the sum of r and t.

Answers

If it’s the square root of the sum, this expression would be
square root symbol over(r+t)

Help asap ...................

Answers

Answer:

One: Median = 2

Two: Mean = 3.25

Step-by-step explanation:

One

Put the dots in order

1 1 1 2 2 3 3

There are seven groups altogether.

The middle one is a 2.

The median is 2.

Two

The mean is the average.

The average of the 4 groups is

1 3 6 3 = 13

The average is the sum of the dots.

13/4 = 3.25

How many times do 5 go into 8

Answers

Answer:

1 time :)

Step-by-step explanation:

Answer:

It can only go into 8 once

8÷5=1.6

Step-by-step explanation:

Given the equation log2x + log2(x – 7) = 3, solve for x.

Answers

Answer:

         x∈{-1, 8}

Step-by-step explanation:

[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]

help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help

Answers

a star will be the 9th shape
star. have a great day
Other Questions
I need help- Ill give brainlist if its right * Find the length of BD.A I dont think this is right PLEASE HELP ASAP!!!! thank you so so so much!!! *will give brainliest* Find the slope of the line graphed below.- Write the ratio of the first measurement to the second measurement. Compare in millimeters Diameter of ball A: 33mm Diameter of ball B: 5.4 cm Rosa wants to determine how long it will take her to drive from her house to her grandmothers house 20km away. Her average speed is 10km/hr. What formula do you use? A. S=D/T B. D=SxT C. T=D/S D. T=S/D Tina has $24.00 in coins and is putting them into piles of $0.03. How many piles will she have? In Raymonds run how did Hazels challenge lead to a triumph? Question 1 of 50Jason has 13720 J of gravitational potential energy standing at the top of a diff over the lake. After he jumps off the diff how fast does he enter the water? Jason has a mass of 75 kg.A. 19 m/sB. 366 m/sC. 1400 m/sD. 37 m/s pleaseeee helpmeeee i^2=-1 true or false Which statement suggests that a research source is credible?A.The content can be verified through other sources.B.The content contains references to noted experts.C.The author doesnt reveal any contact information or affiliations.D.The content was published a long time ago.E.The author suggests that other resources were used. Write the exponent for the expression.2.78The exponent for the expression is ___ 5. De las siguientes opciones, cul presenta lapareja de nmeros cuya resta de como resultadoel triple de 525?A) 6000, 3575B) 4000, 2425C) 2800, 875D) 1800, 775 What are five facts about magnets? Please help me Please help me please due today 5. What is the "free enterprise system" and why do you think entrepreneurs were so important to it being successful? Julio has started his very own floral business. Center pieces 19.50 fixed cost $500 per month cost 8.00 to produce. If he sells 25 center peices to break even The Monkeys Paw W.W. Jacobs What is Mr. Whites third and final wish? what are 3 chemical properties to plastic