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).
16 i think is the amount of cups in a gallon :)
The answer is B because 5^3 is 125 so the approximate answer is 124.75
Answer:
18
<u><em>Brainliest, please!</em></u>
Step-by-step explanation:
3^3 + 11 - 10 / 2 x 4 = w
27 + 11 - 10 / 2 x 4 = w
27 + 11 - 5 x 4 = w
27 + 11 - 20 = w
38 - 20 = w
w = 18
Answer:
1. This graph is not a function, because for every y there are more than one x.
2. This graph is not linear because it is not a straight line.
3. It took them 6 hours to get to their destination.
4. The destination was 325 miles away.
5. They might have stopped at a restaurant to eat.