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
LenaWriter [7]
4 years ago
12

If f(x)=4x+7, what is the inverse of fx

Mathematics
1 answer:
irinina [24]4 years ago
5 0

Answer:

f^-1(x) = 1/4 x - 7/4

Step-by-step explanation:

f(x)=4x+7

Inverse:

x = 4y + 7

4y = x - 7

  y = 1/4 x - 7/4

Answer

f^-1(x) = 1/4 x - 7/4

You might be interested in
Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212
Elden [556K]

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells.

Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells

<em><u>Answer:</u></em>

Kathie needs more than 5 days to get over 100 shells

The required inequality is 34 + 12d > 100

<em><u>Solution:</u></em>

Given that,

Katie wants to collect over 100 seashells.

She already has 34 seashells in her collection.

Each day, she finds 12 more seashells on the beach

Let "d" be the number of days she takes to cover 100 sea shells

From given statement,

She finds 12 seashells each day

Then for "d" days, the number of sea shells she collected is 12d

She already had = 34

So, the equation can be framed as:

34 + 12d > 100

Here we used "greater than" symbol, since she wants to collect over 100 seashells

Solve the inequality

12d >100-34\\\\12d>66\\\\d>\frac{66}{12}\\\\d>5.5

This means she won't have more than  100 shells until the 6th day

Thus she needs more than 5 days to get over 100 shells

8 0
3 years ago
Read 2 more answers
Laila reads 36 pages in 4 hours which expression can be used to find the number of pages she reads per hour
djverab [1.8K]

Answer:

D

Step-by-step explanation:

 36 pages divided by 4

6 0
3 years ago
Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.
taurus [48]

Answer: about 500

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The transformation that can result in a figure that is NOT congruent to the original is:
ddd [48]
Dilation because the sides will not be the same size as the original
6 0
4 years ago
Read 2 more answers
The graph of the equation below is a circle. What is the length of the radius of the circle? (x - 4)^2 + (y + 12)^2 = 17^2
djverab [1.8K]
The correct answer is:  [D]:  "17" .
______________________________________________________
The radius is:  " 17" .
______________________________________________________
Note:
______________________________________________________
The formula/equation for the graph of a circle is:
______________________________________________________
   (x − h)²  +<span> </span> (y − k)² =  r²  ;

in which:  

          " (h, k) " ; are the coordinate of the point of the center of the circle;

           "r" is the length of the "radius" ; for which we want to determine;
_______________________________________________________
We are given the following equation of the graph of a particular circle:
_______________________________________________________

          →  (x − 4)²  +  (y + 12)² =  17² ;

which is in the correct form:

→  " (x − h)²  +  (y − k)² =  r²  " ;

 in which:  " h = 4 " ;

                  " k = -12" ;

                   "r = 17 " ;  which is the "radius" ; which is our answer.

          →  { Note that: "k = NEGATIVE  12" } ;

→  Since the equation <u>for this particular circle</u> contains the expression:             _________________________________________________________    
                      →     "...(y + k)² ..." ;  
         
[as opposed to the standard form:  "...(y − k)² ..." ] ; 
_________________________________________________________
→  And since the coordinates of the center of a circle are represented by:
            " (h, k) " ;  
 
→  which are:  " (4, -12) " ;  (<u>for this particular circle</u>) ; 
_________________________________________________________
→  And since:  " k = -12 " ;  (<u>for this particular circle</u>) ;
_________________________________________________________
then: 

 " [y − k ] ²  =  [ y − (k) ] ²  =  " [ y − (-12) ] ² " ;
                                    
                                         =  " ( y + 12)² "  ;
                                    
{NOTE:  Since:  "subtracting a negative" is the same as "adding a positive" ;

           →   So;  " [ y − (-12 ] " = " [ y + (⁺ 12) ] " = " (y + 12) "
___________________________________________________  
Note:  The above explanation is relevant to confirm that the equation is, in fact, in "proper form"; to ensure that the:  radius, "r" ;  is:  "17" .
___________________________________________________
           →    Since:  "r  =  17 " ;  

           →  The radius is:  " 17 " ;

          which is:  Answer choice:  [D]:  "17" .
___________________________________________________
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the graph of the inequality y x - 1. <br><br> help
    9·1 answer
  • the length of a rectangle is 7 yd more than 5 times the width. the perimeter is 150 yd. find the length and the width.
    10·1 answer
  • Write the Equation Parabola has a vertex at (2,5) and passes through the point (3,7)
    14·1 answer
  • Round 4.051 to the nearest 100
    10·2 answers
  • A teacher student committee consisting of 4 people is to be formed from 5 teachers and 20 students. Find the probability that th
    12·1 answer
  • 2x + 3y = 9
    13·2 answers
  • Find the value of A
    14·1 answer
  • 6th grade math I mark as brainliest
    5·2 answers
  • Which expression is equivalent to -2(5x -0.75)?
    11·1 answer
  • Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!