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hram777 [196]
3 years ago
15

What is the intermediate step in the form (x + a)2 = b as a result of completing the

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

Simplify this problem by dividing all three terms by 2:

x^2 + 20 = -4x

Rewrite this in standard form:

x^2 + 4x + 20

Take the coefficient of the x term and divide it by 2:  4/2 = 2

Square this result:  2^2 = 4

Between x^2 + 4x  and  20  add this 4, then subtract it:

x^2 + 4x + 4 - 4

Rewrite x^2 + 4x + 4 as the square of a binomial:

(x + 2)^2 - 4, or (x + 2)^2 = 4

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Answer:

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Step-by-step explanation:

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3 years ago
If f(x)= 1/3x and g(x)=3x, then what are g * f (x) and g*f(1/2)
MrMuchimi
The correct answer is:  3)  " x ;  1/2" .
_____________________________________________________
Explanation:
_____________________________________________________
Question 1) 

g [ f(x) ] = ? ;

→ Given:  " f(x) = 1/3 x " ;

→ Given:  " g(x) = 3x " ;  
__________________________________
g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
__________________________________
Question 2)

g [ f(1/2) ] = ? ; 
__________________________________
→  Given:  " f(x) = 1/3 x " ;

→  f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;

→  g [ f(x) ] =  

          g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 "  .
___________________________________________________________ 


3 0
4 years ago
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