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tankabanditka [31]
3 years ago
8

Can you solve this rational expression? 8 over 3t-4 subtracted by 6t over 3t-4? 20 points!

Mathematics
2 answers:
Mamont248 [21]3 years ago
4 0

Answer:

2

Step-by-step explanation:

6t                8

---------   -  -----------  

3t -4           3t -4

Since the denominators are the same we can subtract the numerators

6t-8

-----------

3t-4

Factor out a 2 from the numerator

2(3t-4)

-------------

3t-4

The 3t-4 cancel from the numerator and denominator

2

marusya05 [52]3 years ago
3 0

Answer

-2

Step-by-step explanation:

(8/3t-4) - (6t/3t-4)

Denominators equal, combine fractions:

8-6t/3t-4

Factor 8-6t: 2(4-3t)

2(4-3t)/3t-4

Cancel the numbers and you are left with -2

Hope this helped!

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Answer:

A

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Because 105%*105%=1.1205

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6 0
3 years ago
Solve for X. show your work. (x+2)(x+8)=0
SOVA2 [1]
The answer to this question is X 1 = -8 X 2= -2
7 0
3 years ago
The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
                "m" = the slope of the line; and is the co-efficient of "x" ;
                                  b = the "y-intercept"; (or the "y-coordinate of the point of                                                                          the "y-intercept"). 
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
  " y = mx + b " ;  as:
______________________________________________________

   " y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
________________________________________
   "Ax + By + C = 0 " ; 
________________________________________
So; given: 
____________________________________
 " y = (-1/3)x + (10/3) " ;
____________________________________
  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

  →  3y = -1x + 10 ; 

        ↔  -1x + 10 = 3y ; 

Subtract "(3y)" from each side of the equation:
____________________________________
            -1x + 10 − 3y = 3y − 3y ;

to get: 

-1x + 10 − 3y = 0 ; 

↔  -1x − 3y − 10 = 0 ;  

→ This is not one of the "3 (THREE) answer choices given" ;

→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:

     -1 * {-1x − 3y − 10 = 0} ; 

to get:
______________________________________________________
   →   " x + 3y + 10 = 0 " ;  which is:  "Answer choice:  [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
   →  " Ax + By + C = 0 " .
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