All categories

2 years ago

F(x) = 3x + 2 replace f(x) with y

Mathematics

1 answer:

kirill [66]2 years ago

5 0

Answer:

-1 x - 2

f (x) = -----------

Step-by-step explanation:

Then we have y = 3x + 2.

Next, interchange x and y, obtaining x = 3y + 2

Next, solve this result for y: 3y = x - 2; then divide both sides by 3:

y = (x-2)/3

Last, replace "y" with the inverse function label:

-1 x - 2

f (x) = -----------

You might be interested in

Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to

Aloiza [94]

Answer:

Step-by-step explanation:

band alone 11

choir alone 17

band and choir alone 4

band and math alone 7

math and choir alone 6

band choir and math 3

math alone 9 from 11+4+10+6+17 + M = 57

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green

5 0

3 years ago

QUESTION: WHATS BETTER <br><br> APPLE JUICE OR ORANGE JUICE

alexandr1967 [171]

Answer:

orange juice is better than Apple Juice

5 0

2 years ago

HELP ME PLEASEE ASAP!!!! PLEASEE

11111nata11111 [884]

Answer:

Step-by-step explanation:

So there is this property,

Sum of two angle of triangle = exterior angle

So based on this we can form an algebraic equation (NOTE: this is an equilateral triangle so all the sides are 60°)

$4x + 20 = 60 + 60 \\ 4x = 120 - 20 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25$

So it's option B.

6 0

2 years ago

What is the remainder when 2x^2 + x - 4 is divided by 2x + 7

Sindrei [870]

Answer:

Step-by-step explanatSolve and graph the absolute value inequality: |2x + 1| ≤ 5.

ion:

7 0

3 years ago

QuizBIGPOINT

lianna [129]

The number of permutations of the problem is

This = 24
Outfit = 360

<h2>Combination</h2>

$\:$

Combinations are the number of ways to choose members from a certain number, namely from members of a set, combinations can also be interpreted as many ways to make subsets, namely with a certain number of members, namely from members of a set, if a set has n members then the selection of r members, and the combination of n is where r is less than n.

$\:$

<h3>The Formula : </h3>

$\:$

$\:$

<h2>Permutation</h2>

$\:$

Permutations are a way to determine the number of arrangements that occur by paying attention to the order. So in permutations, position/order is very important, namely AB is considered different from BA (AB ≠ BA). Permutation formula

$\:$

<h3>The Formula :</h3>

$\:$

$\frac {n!}{k!}$ (With Double Elements)

n! (Without Double Elements)

$\:$

<h2>Factorial</h2>

$\:$

The factorial of a natural number is the successive multiplication of a natural number that begins with the number one and arrives at the natural number, the factorial is used in calculating combinations, probabilities, and permutations.

$\:$

<h3>For example</h3>

$\:$

》2! = 1 × 2
》3! = 1 x 2 x 3
》4! = 1 x 2 x 3 x 4
》5! = 1 x 2 x 3 x 4 x 5
》6! = 1 × 2 × 3 × 4 × 5 × 6
》7! = 1 × 2 × 3 × 4 × 5 × 6 × 7
》8! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8
》9! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9
》10! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10

$\:$

The following is an example of a factorial that does not involve mixed arithmetic operations, so if you want to add it up we just need to calculate it like a normal number, a factorial number that only multiplies the difference between a factorial number that is added up by addition, subtraction, multiplication, division, for example see below.

$\:$

6! x2! - 3! : 4!

$\:$

The example above is a mixed arithmetic operation that contains multiplication, subtraction, and division. Remember that in mixed arithmetic operations, multiplication/division must be completed before addition/subtraction.

$\:$

<h3>The Formula : </h3>

$\:$

n! (Combined Multiplication)

$\:$

<h2>Place Filling Rules</h2>

$\:$

The Place Fill Rule is a method or method that can be used to determine the number of ways an object occupies its place. The filling slots rule is a method of calculating how many possible ways there are in an experiment or event. If a first event can be done in m different ways and the second event can be done in a different way and so on until the last event in k.

$\:$

<h3>The formula</h3>

$\:$

n1 × n2 × n3 × ... × nr

$\:$

<h2><u>Question</u></h2>

Find the number of permutations of letters of the word

- this

- outfit

$\:$

<h2><u>Answer</u></h2>

"Number One"

=》This = Four Letters ( 4! )

P = 4!

P = 1 × 2 × 3 × 4

P = 2 × 3 × 4

P = 6 × 4

P = 24

==========

"Number Two"

=》Outfit = Six Letters ( 6! )

=》Outfit = Two Letters The Same ( "T" ) = 2!

P = $\frac {1×2×3×4×5×6}{2×1}$

P = $\frac {2×3×4×5×6}{2}$

P = $\frac {6×4×5×6}{2}$

P = $\frac {24×5×6}{2}$

P = $\frac {120×6}{2}$

P = $\frac {720}{2}$

P = 360

$\:$

<h2><u>Conclusion</u></h2>

So, the number of permutations of the problem is

This = 24
Outfit = 360

$\:$

<h2>Learn More</h2>

$\:$

<h2>Answer Detail</h2>

$\:$

➽ Subject: Mathematics
➽ Class : 12
➽ Chapter : 7 - The Rule of Counting:
➽ Maple Code
➽ Categorization code : 12.2.7
➽ Keywords : This, Outfit

5 0

2 years ago