ANSWER SERIOSLY I WILL REPORT 100 pts Within a government or nonprofit organization, the general and operations manager is responsible for finances and have the responsibility of overseeing the budget and directing the use of resources. ... General and operations managers are responsible for directing the operations of public or private organizations 1.(StartFraction negative 4 x over 1 EndFraction + three-fourths = 12 2.Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12 3.StartFraction negative x + 3 over 4 EndFraction = 12 4.One-fourth (x + 3) = 12 5.(StartFraction negative x over 4 EndFraction + three-fourths = 12

Option 'b' and 'e' are equivalent.

Step-by-step explanation:

Given : Expression

To find : Which equations are equivalent to expression ?

Solution :

a)  

It is not equivalent.

b)

It is equivalent.

c)

It is not equivalent.

d)

It is not equivalent.

e)

It is equivalent.

Step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.