Solve the equation 4x - 6 = 34. Write a justification for each step. 47-6= 34

Given equation

+6 +6

4x

Simplify.

= 40

4x 40

44

[2]

X= 10

Simplify

[1] Addition Property of Equality,

[2] Reflexive Property of Equality

[1] Substitution Property of Equality,

[2] Division Property of Equality

[1] Division Property of Equality,

[2] Subtraction Property of Equality

[1] Addition Property of Equality:

[2] Division Property of Equality

8

[1] Addition property of equality

[2] Division property of equality

Step-by-step explanation:

Given the equation, , the following are steps and justification for each step taken:

=> Given equation

Add 6 to both sides

=> addition property of equality [1]

=> simplify

Divide both sides by 4

=> Division property of equality [2]

=> simplify

The justification for the steps taken are:

[1] Addition property of equality

[2] Division property of equality

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: