Select all the relations which represent a function.
- (1,3), (2,5), (2,7), (4,9) (1,3), (1,5), (1,7), (4,9) 0 (1,2), (2,5), (2,1), (4,5)
(1,3), (2,5), (3,7), (4,9) (1,3), (2,3), (3,3), (4,3)

Answer: the first answer is correct i think :]

Functions whose inverses are also functions.

Inverse function is represented by [tex]f^{-1}[/tex] with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

If a horizontal line intersects the original function in a single region, the function is a one-to-one function and inverse is also a function.

Every function has an inverse, but not every inverse will be a function. The inverse may fail the vertical line test. If the original function is a one-to-one function, then its inverse will be a function. A one-to-one function not only passes the vertical line test, it also passes a horizontal line test.

Therefore, functions whose inverses are also functions.

Learn more about the inverse function here:

https://brainly.com/question/2883051.

#SPJ1

Answer:

2/6 - simplified fraction=1/3

Step-by-step explanation:

Using the Pythagoras theorem, the value of y is [tex]6\sqrt{7}[/tex], and the value that goes in the green box is 6.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

Mark the intersections as A, B, C, and D.

It is given that BC=12 and CD=9.

The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem. It claims that the altitude is equal to the geometric mean of the two segments.

Apply the geometric mean theorem -

(AC)^2 = BC x CD

(AC)^2 = 12 x 9

(AC)^2 = 108

AC = [tex]\sqrt{108}[/tex]

AC = [tex]6\sqrt{3}[/tex]

Triangle ABC is a right-angled triangle, so apply Pythagoras theorem -

(AB)^2=(BC)^2+(AC)^2

(AB)^2=(12)^2+([tex]6\sqrt{3}[/tex])^2

(AB)^2=144+108

(AB)^2=252

AB=[tex]\sqrt{252}[/tex]

AB=[tex]6\sqrt{7}[/tex]

Therefore, the value of y is obtained as [tex]6\sqrt{7}[/tex].

To learn more about Pythagoras Theorem from the given link

https://brainly.com/question/654982

#SPJ1

Answer and Step-by-step explanation:

We know that 5 can go into 100 twenty times, so lets try 20 and see what happens.

5 times 20 = 100

  103

-  100

      3

We get a remainder of 3. This means that 5 goes into 103 only Twenty times.

If we were to fully divide 103 by 5, then 5 goes into 103 '20.6' times.

#teamtrees #PAW (Plant And Water)

Answer:

$50.25

Step-by-step explanation:

7.5% as a decimal is 0.075.

So, the fee is [tex](0.075)(670)=\$50.25[/tex].

Answer:

20

Step-by-step explanation:

if you plug in 20, (20) x 3 = 60 + 10 = 70. plus the other angle equaling 20 it'd be 90 degrees which is what the angle is. mark brainliest pls

Answer:

y+35=2y-47

35+47=2y-y

82=y

Answer:

4

Step-by-step explanation:

Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.

11 × 5 = 55

95 - 54 = 40

Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.

40/10=4

Answer:

B. v

Step-by-step explanation:

I calculated it logically

Answer:no it would be 4

Step-by-step explanation:

Answer: t=-20

Step-by-step explanation:

Answer:

Interest of £45

Step-by-step explanation:

£300×.05×3=£45

Answer:

Flower Bed A is the 3rd on down

C=10pi,  A = 25pi

Flower Bed B is the 5th one down

C=12pi, A=36pi

9514 1404 393

Answer:

  A) 10π ft; 25π ft²

  B) 12π ft; 36π ft²

Step-by-step explanation:

The circumference is given by ...

  C = πd = 2πr . . . . . . . . . . for radius r or diameter d

The area is given by ...

  A = πr² = (π/4)d²

__

A) For a diameter of 10 ft, the circumference is π(10 ft) = 10π ft.

The area is (π/4)(10 ft)² = 25π ft².

__

B) For a radius of 6 ft, the circumference is 2π(6 ft) = 12π ft.

The area is π(6 ft)² = 36π ft².

9514 1404 393

Answer:

  y = -5x +13

Step-by-step explanation:

We know from the slope-intercept equation ...

  y = mx + b

that the y-intercept b can be found as ...

  b = y - mx

Filling in the given values of m and (x, y), we find ...

  b = -2 -(-5)(3) = 13

Then the equation is ...

  y = -5x +13

Answer:

3.5 miles per hours

Step-by-step explanation:

7/2 =3.5

Answer:

c = 15

Step-by-step explanation:

Using mathematical operations, the construction worker requires C. 2 pounds of cement to mix 3 pounds of sand.

The basic mathematical operations are subtraction, addition, division, and multiplication.

These mathematical operations combine numbers, variables, mathematical operands, and the equation symbol to solve mathematical problems.

In this situation, we can apply the mathematical operation of multiplication to determine the quantity of cement required for 5 pounds of gravel.

The quantity of gravel per pound of sand = 1²/₃ = 1.667 pounds

For 3 pounds of sand, the quantity of gravel required = 5 pounds (1²/₃ x 3)

The quantity of cement per pound of gravel = ²/₅ pounds or 0.4

For 3 pounds of sand and 5 pounds of gravel, the quantity of cement required = 2 (5 x 0.4) or (5 x ²/₅)

Thus, 2 pounds of cement are needed to mix with 3 pounds of sand and 5 pounds of gravel.

Learn more about mathematical operations at https://brainly.com/question/4721701

#SPJ1

Answer:

x=4, y =5

Step-by-step explanation:

there's no factorization involved, just elimination and substitution. First subtract equation 1 and 2. The x's cancel out and you get y by itself and can solve for it. Then plug the value of y into equation 2 and solve for x and you get it. (In my picture I put value of y in equation 1 but your question asks for putting it in equation 2 so do that instead)

Answer: B

Step-by-step explanation:

Answer:

Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given - A spinner has regions numbered 1 through 18.

To find - What is the probability that the spinner, spun once, will stop on an even number or a multiple of 3?

Solution -

Given that,

A spinner has regions numbered 1 through 18.

So,

The sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}

i.e.

n(S) = 18

Now,

Let A be the outcomes that gives even number or a multiple of 3,

Then

A = {2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18}

i.e.

n(A) = 12

∴ we get

Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{n(A)}{n(S)}[/tex]

= [tex]\frac{12}{18}[/tex]

= [tex]\frac{2}{3}[/tex]

i.e.

Probability that the spinner stop on an even number or a multiple of 3 = [tex]\frac{2}{3}[/tex]

Answer:

[tex]\frac{a}{4} = \frac{13}{20}[/tex]

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

To find the value of  [tex]\frac{a}{4}[/tex] , just put a = 2.6 there in the expression.

[tex]=> \frac{a}{4} = \frac{2.6}{4} = \frac{\frac{26}{10} }{4} = \frac{26}{40}[/tex]

Reducing the fraction gives - [tex]\frac{13}{20}[/tex]

In decimal form , it is - [tex]0.65[/tex]

Answer:

if they have less pets they are probably young and aren't responsible to take care and if they have alot of old they are probably old

Answer:

The angle for x would be 45°

Answer:

⅛

Step-by-step explanation:

Each mark (x) on the plot presents the distance that each student jumped.

There are 24 marks there, so it means there is a total of 24 students whose distance jumped were recorded.

Number of students that jumped 5½ ft = 3

Fraction of the students that jumped 5½ ft = no of students that jumped 5½ ft / total number of students

= 3/24

Simplify/reduce the fraction

= 1/8

Answer:

-12/5

Step-by-step explanation:

slope = change in y / change in x

change in y = 12 (from top to bottom) = 6 - (-6)

change in x = -5 (from top to bottom) = -2 -3

slope = 12/-5 = -12/5

Answer:

3/4

Step-by-step explanation:

4/8 can be simplified by dividing 2 from the numerator and denominator, which equals 2/4.

This turns the equation into 2/4 + 1/4, giving you a common denominator.

Answer:

Both B & C answers are correct

Step-by-step explanation:

To solve these two fractions, 1st you have to make both the numerator and the denominator the same.

For that, you can multiply both the numerator and the denominator of 1/4 by 2.

[tex]\sf\frac{4}{8} +\sf\frac{1}{4} \\\\\sf\frac{4}{8} +\sf\frac{1*2}{4*2}\\\\\sf\frac{4}{8} +\sf\frac{2}{8}\\\\\sf\frac{6}{8}[/tex]

To write the fraction in its simplest form, divide both sides by 2.

[tex]\sf\frac{3}{4}[/tex]