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:
A and B
Step-by-step explanation:
- 3/5 is less than -1/5 because it is farther away from 0 on a number line (also, when it comes to figure out which inequality is true with negative number, the smaller one is going to be greater because it is closer to 0 on a number line)
3/5 is greater than 1/5 because they are both positive and 3/5 is the bigger number
-1/5 is not less than -3/5 because if A is true, than this cannot be true because it is saying the exact opposite.
Answer: The number of times Gavin expect to roll an even number =24
Step-by-step explanation:
Given: Numbers of a fair dice = 1, 2, 3, 4, 5, 6
even numbers = 2, 4, 6
odd numbers = 1, 3, 5
Probability of getting an even number = 
If Gavin rolls a fair dice 48 times.
Then, the number of times Gavin expect to roll an even number = 
Hence, the number of times Gavin expect to roll an even number =24
