In the equation 6x-2-4x+ 2, Spencer claims that
the first step is to add 4x to both sides, Jeremiah
claims that the first step is to subtract 6x from both
sides. Who is correct? Explain.

Jeremiah is correct

Step-by-step explanation:

You did not put an equal sign so it's a bit confusing, but I was taught that whoever has lesser value (-4x) should be added/subtracted to both sides. (I think it's because -6x will make the equation worse). I'm so sorry if my answer is wrong btw. And congratulations if you did get it. I'm just answering based on what I was taught.

jermiah is correct

Step-by-step Explanation:

the first sstep IS To subtract 6x from both sides

I Think

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

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: