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3 years ago

Find the inverse of the function y= 2x

Mathematics

2 answers:

Mademuasel [1]3 years ago

6 0

Answer:

y = x/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Inverse Functions

Step-by-step explanation:

Step 1: Define

Identify

y = 2x

Step 2: Solve

Swap: x = 2y
[Division Property of Equality] Divide 2 on both sides: x/2 = y
Rewrite: y = x/2

Valentin [98]3 years ago

3 0

Answer:

$y=\frac{1}{2}x$

Step-by-step explanation:

To find the inverse of a function, switch the x and y values and isolate y. After switching the x and y values of $y=2x$ , we get $x=2y$ .

Now divide by 2 to isolate y:

$y=\frac{x}{2},\\\boxed{y=\frac{1}{2}x}$

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3 years ago

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Ulleksa [173]

Step-by-step explanation:

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2 years ago

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5 0

2 years ago

If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace

valina [46]

If $W$ is a random variable representing your winnings from playing the game, then it has support

$W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}$

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So $W$ has PMF

$P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}$

You can expect to win

$E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}$

or about $1.46 per game.

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3 years ago