1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marysya [2.9K]
3 years ago
6

What is the inverse of the given relation? y=3x+12

Mathematics
2 answers:
stich3 [128]3 years ago
6 0

For this case we have the following function:

y = 3x + 12

We change the variables:

x = 3y + 12

From here, we clear the value of y.

3y = x-12\\y = \frac {x} {3} -4

Then, we make the following change:

y = f (x) ^ {-1}

Finally, the inverse function is:

f (x) ^ {- 1} = \frac {x} {3} -4

Answer:

The inverse of the given relation is:

f (x) ^ {- 1} = \frac {x} {3} -4

vladimir1956 [14]3 years ago
6 0
We have to find the inverse of the relation : y = 3 x + 12First we have to switch x and y:x =  3 y + 12- 3 y = - x + 12  / * ( - 1 )     ( multiply both sides by - 1 )
3 y = x - 12   / : 3                 ( divide both sides by 3 )y = x / 3 - 4Answer:The inverse of the given relation is  y = x / 3 - 4. 

You might be interested in
Y+2 y+2 y+2 y+2 y+2<br> ^<br> 30
BartSMP [9]

Answer:

45

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Part C: Describe the constraints of the domain. (3 points)<br><br><br><br> MAX PTS AND BRAINLIEST
Umnica [9.8K]

Answer:

Domain constraints include entity integrity and referential integrity and this domain is a set of values that may be assigned to an attribute. The entity integrity rule states that no part of a primary key cannot be null. Referential integrity states that each foreign key value must match a primary key value or be null

Each table has certain set of columns and each column allows a same type of data, based on its data type. The column does not accept values of any other data type.

Step-by-step explanation:

Domain constraints include entity integrity and referential integrity and this domain is a set of values that may be assigned to an attribute.

The ENTITY INTEGRITY rule states that no part of a primary key cannot be null while the REFERENTIAL INTEGRITY rule states that each foreign key value must match a primary key value or be null.

Each table has certain set of columns and each column allows a same type of data, based on its data type in which the column does not accept values of any other data type.

Therefore Domain constraints are user defined data type and can define in this way:

Domain Constraint = data type + Constraints (NOT NULL / UNIQUE / PRIMARY KEY / FOREIGN KEY / CHECK / DEFAULT)

5 0
4 years ago
Use standard algorithm to solve <br>1,457 x 56​
kifflom [539]

Answer:

the answer is 81,592 cuz you have to multiple

5 0
3 years ago
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati
Klio2033 [76]

Answer:

y = x +7

Step-by-step explanation:

Given

Point\ (x_1,y_1) = (4,11)

Perpendicular to y = -x + 14

Required

Determine the line equation

An equation has the form

y = mx + b

Where

m = slope

By comparison with y = -x + 14

m = -1

Because the line is perpendicular to y = -x + 14, the following relationship exists

m_1 = \frac{-1}{m} i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through Point\ (x_1,y_1) = (4,11)

So, we have:

m_1 = \frac{-1}{-1}

m_1 = 1

The line equation is then calculated using:

y - y_1 = m_1(x - x_1)

Where

m_1 = 1

Point\ (x_1,y_1) = (4,11)

So, we have:

y - 11 = 1(x - 4)

y - 11 = x - 4

Add 11 to both sides

y - 11+11 = x - 4+11

y = x - 4+11

y = x +7

<em>The B, C and D parts of your question are not clear.</em>

<em>Apply the same steps used in (a) above and you'll get your answers</em>

7 0
3 years ago
For each example below, determine whether a posit tive, negative or no cause and effect relationship exists
alexira [117]
This is perhaps the most odd math question I have ever come across. Anyhow -


#1 - Positive, because smoking increases the chance of having lung cancer. (though technically there is not a linear relationship between the two as people do in fact receive lung cancer even when having not smoked)


#2 - No relationship. (Though one could argue a student may text more when given more free time as a consequence of having spent less time at school, but this is wholly subjective and unable to be substantiated by logic.)


#3 - Negative, due to the mass of the tootsie pop decreasing with each lick.


Of course, I am assuming when you say "positive" and "negative" you are speaking in terms of numbers or addition and subtraction rather than "positive" or "negative" socially.  
6 0
3 years ago
Read 2 more answers
Other questions:
  • Plz help me do em all ill mark u brainliest and give u 5 stars
    9·1 answer
  • What is the GCF of the two terms in the expression 15x - 25
    13·2 answers
  • Math question down below
    7·2 answers
  • Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$46 thousand less than twice that of an
    6·1 answer
  • If AC = 2x + 3 and DB = 4x - 1, find x.
    6·1 answer
  • Simplify the following radical expressions. 100 points<br> √8/√6<br> √2/10<br> √532<br><br> √3k√8
    10·1 answer
  • A triangle is rotated 90° about the origin. Which rule describes the transformation?
    6·1 answer
  • What is the centimeters?
    8·1 answer
  • 4 plates and 3 cups cost 16.70 dollars. 5 plates and 4 cups cost 21.20 dollars. Each plate costs the same amount as the other pl
    10·1 answer
  • Cuál es el perímetro del triángulo amarillo?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!