All categories

2 years ago

Let h be the function that assigns each student ID number to a grade level.

Mathematics

1 answer:

denis-greek [22]2 years ago

5 0

Answer:

It is a function Jonny!

Step-by-step explanation:

Hello! I would say to Jonny:

Jonny! A function is a relation between two sets, in which every element of the first set (domain) is assigned only one element of the second set (codomain).

If you have serveral elements of the first set with the same corresponding element of the second set it is correct to call that relation a function.

However, if you have an element of the first set for which your relation can relate to more than one element of the second set, then Jonny, that is not a function.

In the present case, every student ID number can only be realted to a number of the set {9, 10, 11, 12}, a student cannot have more than one current grade level. Therefore, that relation is in fact a function

You might be interested in

I am having trouble figuring out this question, repost again...

tatuchka [14]

12,740 - 200= 12,540 Ft above sea level

8 0

3 years ago

Read 2 more answers

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago

A suppose price per person for an event. If 17 people sign up. And the price per person is 213 what will be the price per person

Alex787 [66]

Answer:

338.28

Step-by-step explanation:

If 17 people sign up the price is 213

We want to khow the price if 27 people sign up

So:

17=> 213

27=> x( the unkhown price)

x= (27*213)/17 = 338.28

3 0

2 years ago

Read 2 more answers

Use the tests for divisibility to determine which numbers divide evenly into the given number.

drek231 [11]

The numbers that can divide 648 evenly, using the divisibility tests, include 1, 2, 3, 4, 6, 8, 9, 12, and 18 and some multiples of any two numbers.

<h3>What is the divisibility test?</h3>

A divisibility test is performed to identify whether a number can be divided evenly by a fixed divisor without a remainder and without actually performing the division process.

Divisibility by 1: Every number is divisible by 1 = 648 (648/1).

Divisibility by 2: 648 is an even number and divisible by 2 = 324.

Divisibility by 3: Sum the digits (18). 18 is divisible by 3 = 6 (18/3).

Divisibility by 4: The last two digits (4 and 8) form a number (12) that is divisible by 4

Divisibility by 6: It is divisible by 2 and by 3

Divisibility by 8: If the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

Divisibility by 9: Sum the digits (18). 18 is divisible by 9

Divisibility by 12: 648 is divisible by 3 and by 4.

Divisibility by 18: 648 is divisible by 2 and by 9.

Learn more about the divisibility tests at brainly.com/question/24125354

#SPJ1

5 0

1 year ago

A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below

masha68 [24]

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

3 0

3 years ago

Read 2 more answers