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).
The answer is G. I know because, 1.75 * 3 (slices of pizza) = 5.25.
13.75 - 5.25 = 8.5
8.5 / 4 (hot dogs) = 2.1 (price per hot dog)
We can apply this to Sarah by saying
2 * 1.75 = 3.5
3 * 2.1 = 6.3
Added equals 9.8 or 9.75 (Sarah's total)
Correct me if I am wrong hope this helps:)
Answer:
x < - 3
Step-by-step explanation:
Unfortunately, we are not presented in this item with the table in which we could have chosen from our answer to this question. However, it can be concluded that the table which contains the values of
d = p - 2.5
