Relation and function

Answers

Answer 1

Answer:An ordered pair is a set of inputs and outputs and represents a relationship between the two values. A relation is a set of inputs and outputs, and a function is a relation with one output for each input.

Step-by-step explanation:


Related Questions

Which of the following is the restricted value of (x-5)/(〖3x〗^2-10x-25) ? *

Answers

Given:

The expression is

[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]

To find:

The restricted value of given expression.

Solution:

We have,

[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]

Equate the denominate equal to 0, to find the restricted value.

[tex]3x^2-10x-25=0[/tex]

[tex]3x^2-15x+5x-25=0[/tex]

[tex]3x(x-5)+5(x-5)=0[/tex]

[tex](x-5)(3x+5)=0[/tex]

Using zero product property, we get

[tex]x-5=0\text{ and }3x+5=0[/tex]

[tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex]

Therefore, the restricted values are [tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex].

(-1,4) and (1,-1) find the distance

Answers

Answer:

Step-by-step explanation:

Given the equation y = 4 + 2x find the values for y given the value x

If x = 3 then y =

If x = -3 then y =

If x = 4 then y =

If x = -2 then y =

Answers

Answer:

If x = 3 then y = 10

If x = -3 then y = -2

If x = 4 then y = 12

If x = -2 then y = 0

find the value of 1/3^-2​

Answers

Answer:

9

Step-by-step explanation:

just reciprocate and change the negative sign to positive

What is the volume of a cone with a diameter of 10 cm at the base and a height of 20 cm? Use 3.14 for pie. Round to the nearest 10th of cubic centimeters.

Answers

the answer should be 523.6

(a) The weight of a package affects the cost to send that package through the mail.
Which is the dependent variable?
weight of package
cost to mail package

Answers

Answer:

cost to mail package

Step-by-step explanation:

the weight is not dependant on the cost to mail the package

the cost depends on how much the package weighs.

Which of the following situations represent inductive reasoning? Select all that apply.
A. Harriet notices that her friend eats an apple for lunch every Monday, Wednesday, and Friday. Since today is Friday, Harriet makes a conjecture that her friend will eat an apple for lunch.

B. You notice that all butterflies in your yard are blue and black. Therefore, you decide that all butterflies are blue and black.

C. Terance adds the sides of an equilateral triangle and finds the length of the perimeter to be 3 times the length of one side. He guesses that the perimeter of every equilateral triangle will be three times the length of a side.

D. Kiana is writing a list of numbers 4, 8, 12, 16, ____. Her friend Freddy says the next number will be 20.

Answers

The correct answer is A and D!

Help me out please its with triangles and stuff

Answers

Answer:

11 in = 33 in.

Step-by-step explanation:

6 in. = 18 in.

the second triangle is 3 times bigger than the smaller one.

Answer: 33
If 6 is scaled to 18 then you just multiply by 3.
11x3=33

TRUE or FALSE; Quadratic Equations' graphs take the form of V's.

Answers

Answer:

False, they take form of a U shape

which of the following pairs of functions are inverses of each other​

Answers

Answer:

c would be the answer you are looking for and please mark brainliest

Step-by-step explanation:

Options A and D have functions that are inverses of each other.

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To check whether two functions are inverses of each other, we need to check if the composition of the functions in both orders results in the input value.

Here, we need to check if f(g(x))=x and g(f(x))=x for all values of x in their domains.

A. f(x) = 7/(x-9) and g(x) = (x+9)/7

f(g(x)) = f((x+9)/7) = 7/((x+9)/7 - 9) = 7/(x/7) = x, so f and g are inverses of each other.

B. f(x) = x/6 + 8 and g(x) = 6x - 8

f(g(x)) = f(6x-8) = (6x-8)/6 + 8 = x/6 + 8/6 = x/6 + 4/3, which is not equal to x. Therefore, f and g are not inverses of each other.

C. f(x) = 2 + ∛x and g(x) = 2 - x³

f(g(x)) = f(2 - x³) = 2 + ∛(2 - x³) ≠ x, so f and g are not inverses of each other.

D. f(x) = 5x - 11 and g(x) = (x+11)/5

f(g(x)) = f((x+11)/5) = 5((x+11)/5) - 11 = x, and g(f(x)) = g(5x-11) = (5x-11+11)/5 = x/5, so f and g are inverses of each other.

Therefore, only options A and D have functions that are inverses of each other.

Learn more about inverse functions here:

brainly.com/question/2541698

#SPJ7

Plsss help me I need this paper by tomorrow

Answers

Ok one min..............

Answer:

rise over run

Step-by-step explanation:

rise: 5

run: 6

5/6 i think

So far, Brian has burned 147.8 calories. He wants to burn a total of 400 calories. How many more calories must Brian burn?

Answers

Answer:

252.2 calories

Step-by-step explanation:

400- 147.8

Answer: 252.2

Step-by-step explanation:

1. Which decimals are equivalent to (3 × 10) + (2 × 1/100)? *
A. 3.02
B. 30.20
C. 30.02
D. 30.200

2. Are these decimals equivalent? Why or Why not? 3.120 and 3.12 *

Answers

Answer:

3 × 10) + (2 × 1/100)? *

It equals to 30.02

Answer:

A

Step-by-step explanation:

1) 3.02

2) No, Because 3.120 is in the thousandths place and 3.12 is in the hundreths place  

The map shows the location of four places in a school. A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library. Peter's English class is located in the same quadrant is the auditorium. Which of the following could be the coordinates of the English classroom? (3, 2) (−3, 2) (−3, −2) (3, −2)

Answers

Answer:

(-3,2)

Step-by-step explanation:

The greatest common factor of 4xy and -6xy

Answers

Answer:

The greatest common factor is 2x

I think it’s 2xy bc 2xy fits into both of those

-12 is greater or equal to 3x​

Answers

Answer:

x is greater than -4

Step-by-step explanation:

divide both sides by 3

Step-by-step explanation:

.

Write the slope intercept form of the equation of the line through the given points.

through: (-4,2) and (0,3)


y= 3x +1/4

y= -5/4x +3

y= 1/4x +3

y= -1/4x +3

Answers

Answer:

y= 1/4x + 3

Step-by-step explanation:

Answer:

y= 1/4x +3

Step-by-step explanation:

I used a graph

solve the equation
x-13+4x=22
a: 1.8
b: 5
c: 7
d: 11.7​

Answers

answer: x=7

first, collect like terms:
5x-13=22

next move the constant to the right-hand side and change its sign:
5x=22+13

then add:
5x=35

lastly divide both sides of the equation by 5:
and you get.... x=7

hope this helps!! :))

Reed is purchasing an X-Box One. He made an initial payment of $75 to the store, and will pay $15 each month until the system is paid off. Which equation represents the relationship between x, the number of monthly payments Reed has paid, and t, the total amount that Reed has paid the store?

A. t = 75x + 15 C. t = 15x + 75

B. t = 15x - 75 D. Not Here

Answers

C.) T=15x+75

its 15 dollars each month and since you don't know the number of months the variable would correspond with 15 and you just need to add 75 onto it

Answer:

C. t = 15x + 75

Step-by-step explanation:

since you already payed the 75 dollars you add it and you multiply 15 by x because x is the number of months you pay

Help pleaseeeeeeeeeee

Answers

A. Quadrant I

B. Quadrant I

C. Quadrant II

D. Quadrant III

solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbol. 2x+5y=16, -5x-2y=2

Answers

Answer:(-2,4)

Step-by-step explanation:

5(2x +5y=16) , 2(-5x-2y=2)

Eq 1 , 10x+25y=80 Eq2,-10x-4y=4

Eq1-Eq2 =21y=84

Y=4,x=-2

Ans (-2,4)

I need to have this done by tonight and I don’t know what to put

Answers

Answer:

A. Option 1

Sign up cost = 0

1 Month = 125

2 Months = 150

3 Months = 175

4 Months = 200

Step-by-step explanation:

For every option simply write what the starting cost is in the top box for every option. Then multiply the monthly cost by how many months for each box and then add the starting cost. The result of the multiplication and addition will be what you put in each box.

Find the solutions to the equation below 9x^2 -81=0

Answers

Step-by-step explanation:

=

±

2

4

2

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

9

2

8

1

=

0

9x^{2}-81=0

9x2−81=0

=

9

a=

a=9

=

0

b={\color{#e8710a}{0}}

b=0

=

8

1

c={\color{#129eaf}{-81}}

c=−81

=

0

±

0

2

4

9

(

8

1

)

2

9

x=2⋅9−0±02−4⋅9(−81)​​

help. please. i have to type 20 things.

Answers

Answer:

Top Left: Acute Top Right: Acute Bottom Right: Obtuse Bottom Left: Right

Step-by-step explanation:

The top left and right have all angles less than 90 degrees which makes them acute. The Bottom right has an angle over 90 degrees which makes it obtuse, and the last one has a right angle 90 degrees.

there’s only 3 option but i’ll try my best. the top right is an acute triangle. bottom left is an obtuse triangle and bottom right is a right triangle. the top left one is an equilateral triangle but that isn’t an option. hope this helps :)

Round off 13,486 to the nearest hundred.

Answers

Answer:

13,500

Step-by-step explanation:

Answer: 13,500

Step-by-step explanation:

So the 4 is in the hundred place than u look to the right where the next digit is which is 8. If its 5 or more u round up but if its 5 or less it stays the same. So 8 is 5 or more than u round up the 4 to 5 and leave the rest of the digit 0's. but u leave the 13 the same. If that makes sense.

the absolute value of a number can be positive or negative. true or false?​

Answers

Answer:true

Step-by-step explanation:

its true i think

Answer:

False because the absolute value is always going to be positive.

Step-by-step explanation:

Molly is painting her bedroom walls, and the paint costs $24 per gallon. How much does the paint cost per quart?
$3 per quart
$6 per quart
$48 per quart
$96 per quart

Answers

$6 per quart.

A quart is 1/4 of a gallon.

Answer:

$6 per quart

Step-by-step explanation:

Since we are trying to find out how much money a quart of paint will cost, we need to find out how many quarts are in one gallon.

There are 4 quarts in a gallon, therefore we take $24 divided by 4 and get $6 per quart.

what are the common denominator for 2/3 and 5/12 ?

Answers

Answer: 12, 24, 36, 48, and it just keeps going

Step-by-step explanation:

Answer:

12/24, and 36/48ths.

Step-by-step explanation:

rewrite em

F(n)=2n+5. Find the 5th term in the sequence

Answers

Answer:

15

Step-by-step explanation:

[tex]F(n)=2n+5[/tex]

[tex]F(5) = 2(5)+5[/tex] (substitute 5 in to get the 5th term)

[tex]=10+5[/tex]

[tex]=15[/tex]

∴ The 5th term of the sequence is 15

The table represents some points on the graph of a linear function. What is the slope of the line?

Answers

Answer:

-9/2!

Step-by-step explanation:

For this one, It's a bit hard! But, using the process of elimination, you can tell, that since the Y's are going down, this is a negative slope. Since there was only two answers, and only one was negative, it's -9/2!

I really hope this helped... I know it wasn't the best, but I graphed it for you!

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