How many solutions exist for the given equation?
12×+1=3(4×+1)-2

infinite solutions

Step-by-step explanation:

12x+1=3(4x+1)-2

Distribute

12x+1 = 12x+3 -2

Combine like terms

12x+1 = 12x+1

Subtract 12x from each side

12x+1-12x = 12x+1-12x

1 =1

Since this always true, there are infinite solutions

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

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: