Answer:
(3x-1)(2x+1)
Step-by-step explanation:
1-6x^2-x=0
-6x^2-x+1=0
6x^2+x-1=0
6x^2+(3-2)x-1=0
6x^2+3x-2x-1=0
3x(2x+1)-1(2x+1)=0
(3x-1)(2x+1)=0
So the factor is (3x-1)(2x+1)
Answer:
Step-by-step explanation:
<em>Perimeter is the sum of side lengths</em>
<u>Let's find the sides first</u>
- AB = √(-2- 2)² + (-4+1)² = 5
- BC = (2 - (-1)) = 3
- CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24
- DE = √(-4 -(-1))²+(2-5)²= √18 = 3√2 = 4.24
- AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32
<u>Perimeter is</u>
- P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole number
Answer:
- <u><em>Option D. 0.50</em></u>
Explanation:
1. Two-way table:
Calories per Day:
1000 to 1500 1500 to 2000 2000 to 2500 Total
Weight
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
2. Total number of persons
Look at the intersection of the totals for the columns and the rows: 500
3. Number of persons that consume 1,500 to 2,000 calories in a day
Look at the total for the column 1,500 to 2,000 calories per day: 250
4. Probability that a person consumes 1,500 to 2,000 calories in a day, P
- P = number of persons that consume 1,500 to 2,000 calories / total number of persons
- P = 250 / 500 = 0.50 ↔ option D.
