Δ=88
1) Using the Quadratic Equation to Solve
3x²-8x+1=3
3x²-8x+1-3=3-3
3x² -8x -2=0
2)Let's find the discriminant
Δ= (-8)²-4(3)(-2)
Δ=64 -4(3)(-2)
Δ=88
Current population = P = 8742
Population after t years = A = 12000
Growth rate = r = 5%
We are to find the number of years it takes the population to grow to 12,000.
So, we can write:

Using the values, we get:
This means, it will take 6.492 years for the population to grow to 12,000.
Answer:
37.7 yd
Step-by-step explanation:
The circumference of a circle can be found using the formula ...
C = 2πr
For a radius of 6 yd, the circumference is ...
C = 2π(6 yd) = 12π yd ≈ 37.7 yd
The length of the circular border was 37.7 yards.
Answer : Marcia salt solution has more concentration than Bobby salt solution
The concentration of Marcia salt solution is 1kg/3L= 0.33kg/L
It's a bit harder to count Bobby salt solution since you need to convert the pounds into kg and the pints into Liter. If you don't do that, you can't compare the concentration. The calculation would be:
2 pounds/ 15pints x (1kg/2.2lb) x (1L/2.1pints) = 0.02889 kg/L
Rounded up into hundredth = 0.03kg/L