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
raketka [301]
3 years ago
11

MATH HELP PLEASE!!! PLEASE HELP!!!

Mathematics
1 answer:
grandymaker [24]3 years ago
6 0
The answer is:  [C]:  " f(c) = \frac{9}{5} c  + 32 " .
________________________________________________________

Explanation:

________________________________________________________
Given the original function:  

" c(y) = (5/9) (x <span>− 32) " ; in which "x = f" ; and "y = c(f) " ;
________________________________________________________
</span>→  <span>Write the original function as:  " y = </span>(5/9) (x − 32) " ; 

Now, change the "y" to an "x" ; and the "x" to a "y"; and rewrite; as follows:
________________________________________________________
    x = (5/9) (y − 32) ; 

Now, rewrite THIS equation; by solving for "y" ; in terms of "x" ; 
_____________________________________________________
→ That is, solve this equation for "y" ; with "c" as an "isolated variable" on the
 "left-hand side" of the equation:

We have:

→  x  =  " (  \frac{5}{9}  ) * (y − 32) " ;

Let us simplify the "right-hand side" of the equation:
_____________________________________________________

Note the "distributive property" of multiplication:
__________________________________________
a(b + c) = ab + ac ;  <u><em>AND</em></u>:

a(b – c) = ab – ac
.
__________________________________________

As such:
__________________________________________

" (\frac{5}{9}) * (y − 32) " ; 

=  [ (\frac{5}{9}) * y ]   −  [ (\frac{5}{9}) * (32) ] ; 


=  [ (\frac{5}{9}) y ]  − [ (\frac{5}{9}) * (\frac{32}{1})" ;

=  [ (\frac{5}{9}) y ]  − [ (\frac{(5*32)}{(9*1)} ] ; 

=  [ (\frac{5}{9}) y ]  −  [ (\frac{(160)}{(9)} ] ; 

= [ (\frac{5y}{9}) ]  −  [ (\frac{(160)}{(9)} ] ; 

= [ \frac{(5y-160)}{9} ] ;  
_______________________________________________
And rewrite as:  

→  " x  =  \frac{(5y-160)}{9} "  ;

We want to rewrite this; solving for "y";  with "y" isolated as a "single variable" on the "left-hand side" of the equation ;

We have:

→  " x  =  \frac{(5y-160)}{9} "  ; 

↔  " \frac{(5y-160)}{9} = x ; 

Multiply both sides of the equation by "9" ; 

 9 * \frac{(5y-160)}{9}  =  x * 9 ; 

to get:

→  5y − 160 = 9x ; 

Now, add "160" to each side of the equation; as follows:
_______________________________________________________

→  5y − 160 + 160 = 9x + 160 ; 

to get:

→  5y  =  9x + 160 ; 

Now,  divided Each side of the equation by "5" ; 
      to isolate "y" on one side of the equation; & to solve for "y" ; 

→  5y / 5  = (9y + 160) / 5 ; 

to get: 
 
→  y = (9/5)x + (160/5) ; 

→  y =  (9/5)x + 32 ; 

 →  Now, remember we had substituted:  "y" for "c(f)" ; 

Now that we have the "equation for the inverse" ;
     →  which is:  " (9/5)x  + 32" ; 

Remember that for the original ("non-inverse" equation);  "y" was used in place of "c(f)" .  We have the "inverse equation";  so we can denote this "inverse function" ; that is, the "inverse" of "c(f)" as:  "f(c)" .

Note that "x = c" ; 
_____________________________________________________
So, the inverse function is: "  f(c) = (9/5) c  + 32 " .
_____________________________________________________

 The answer is:  " f(c) = \frac{9}{5} c  + 32 " ;
_____________________________________________________
 →  which is:  

→  Answer choice:  [C]:  " f(c) = \frac{9}{5} c  + 32 " .
_____________________________________________________
You might be interested in
Consider triangle ABC.
shusha [124]
Give me a second to get the answer and I’ll text you back
8 0
3 years ago
Read 2 more answers
-8x^2-3x+5+2x^2+7x-5
denis-greek [22]
-6x^2+4x

my reasoning:
eliminate the opposites (5 & -5)
collect the like terms (-8x^2 & + 2x^2)
collect the like terms again (-3x &+7x)
8 0
3 years ago
Please help me out. What is 421 divided by 27
____ [38]

Answer:

15.5925925926

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Yea also all of this
KiRa [710]

Answer:

yea I cant really do this over a screen

5 0
3 years ago
Read 2 more answers
If you draw a net for a cylinder, such as a soup can, how many two-dimensional geometric shapes would this net have?
Nezavi [6.7K]

Answer:

3.

If you were to “unroll” a can of soup, you would end up with two circles and one rectangle.

Thats why when you are finding the surface area of a cylinder, you need to multiply the area of the circle by 2. And also you need to find the area of the rectangle. Then you add the areas all up.

please mark me brainlies :)

I need 3 more to become an expert

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which are the roots of the quadratic function f(b) = b2 – 75? Check all that apply.Which are the roots of the quadratic function
    12·2 answers
  • Suppose that an airline quotes a flight time of 128 minutes between two cities. Furthermore, suppose that historical flight reco
    11·1 answer
  • Solve for X:<br><br> 125^x = 25^(x+2)
    12·1 answer
  • PLEASE HELP ASAPPPP!!!!
    14·1 answer
  • Bob is training for a race. Bob ran 14.6 miles away from his home. Then, Bob ran 9.8 miles towards his home. Finally, bob ran 5.
    15·1 answer
  • Describe the angles of an obtuse triangle?
    5·2 answers
  • Ter 1: Solving Simple Equation Solve x +5 = 8.​
    15·2 answers
  • A telecommunications company offers two calling cards. The first card costs $25 for 750 minutes, while the second card costs $40
    6·1 answer
  • What is the surface area of LMNOPQRS? If necessary, round your answer to the nearest tenth.
    6·1 answer
  • Need help ASAP!!!!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!