Answer:
see below
Step-by-step explanation:
-X – 10 > 14 + 2x.
Subtract 2x from each side
-x-2x -10 > 14+2x-2x
-3x -10 > 14
Add 10 to each side
-3x -10+10 > 14+10
-3x > 24
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 24/-3
x < -8
You could simplify this work by factoring "3" out of all four terms, as follows:
3(x^2 + 2x - 3) =3(0) = 0
Hold the 3 for later re-insertion. Focus on "completing the square" of x^2 + 2x - 3.
1. Take the coefficient (2) of x and halve it: 2 divided by 2 is 1
2. Square this result: 1^2 = 1
3. Add this result (1) to x^2 + 2x, holding the "-3" for later:
x^2 +2x
4 Subtract (1) from x^2 + 2x + 1: x^2 + 2x + 1 -3 -1 = 0,
or x^2 + 2x + 1 - 4 = 0
5. Simplify, remembering that x^2 + 2x + 1 is a perfect square:
(x+1)^2 - 4 = 0
We have "completed the square." We can stop here. or, we could solve for x: one way would be to factor the left side:
[(x+1)-2][(x+1)+2]=0 The solutions would then be:
x+1-2=0=> x-1=0, or x=1, and
x+1 +2 = 0 => x+3=0, or x=-3. (you were not asked to do this).
Answer:
Yes and no. 2/5 is the simplified form of 40/100. they are the same amount, so i would choose j
Step-by-step explanation:
