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Nataly [62]
3 years ago
11

.SOLVE AND COMBINE LIKE TERMS! PLS REALLY NEED HELP!!! due in 10 minutes. WILL GIVE BRAINLIEST!

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Step-by-step explanation:

everything can be found in the picture

You might be interested in
MATH HELP PLEASE!!! PLEASE HELP!!!
grandymaker [24]
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 " .
_____________________________________________________
6 0
3 years ago
Shanika makes 2800 milliliters if chicken soup for a dinner party she needs 3.5 liters how many more millileters does shanika ne
Liono4ka [1.6K]
She needs 700 milliliters more. 700  ml is 0.7 liters
6 0
2 years ago
On a scale drawing 2 centimeters represent 50 meters. How many centimeters represent 5 meters?
Tanya [424]

Answer:

0.2 centimeters

Step-by-step explanation:
Strategy 1:

Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters

First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.

Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm

Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so  2/10=0.2 cm

8 0
1 year ago
Read 2 more answers
Combine like terms. 6x + 4 – 3x + 5
Ivahew [28]
X = 3


Combine like terms: -4 + -5 = -9
-9 + 6x + -3x = 0
Combine like terms: 6x + -3x = 3x
-9 + 3x =0

Solving -9 + 3x = 0

Solving for variable ‘x’

Moving all terms containing my x to the left, all other terms to the right
Add ‘9’ to each side of the equation -9 + 9 + 3x = 0 + 9

Combine like terms: -9 + 9 = 0
0+3x=0+9
3x = 0 + 9

Combine like terms: 0 + 9 = 9
3x = 9

Divide each side by ‘3’.
X = 3

SORRY THIS IS SO LONG
7 0
3 years ago
Brent recived a burger king gift card for $20 to purchase his favorite sandwhich amd meal.junior whopper sandwich cost$2.50 each
bagirrra123 [75]
A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 - 16t2 + 32t. ... Therefore, the maximum height, in feet, of the ball above theground after it was kicked was h(1) = 20 - 16(1)2 + 32(1) = 36.
6 0
3 years ago
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