Answer:
Step-by-step explanation:
the position of the boat on the waters surface = 0 (zero)
Carmen and Jen's swimming depth. = -15
This expression is called the Discriminant, also shown as Δ.
It is equal to b² - 4ac. This is a very important part of the quadratic formula as it determines whether x will have two values, one repeated value or no real values. Here are a few examples.
a) x² - 2x - 1. a is equal to 1 since 1x² = x². b = -2, c = -1
The discriminant will be (-2)² - 4×1×-1 = 4 + 4 = 8.
Since Δ > 0, there are two x values. Graphed, the parabola sinks below the x axis.
b) x². a = 1, b = 0 (0x = 0), c = 0
The discriminant will be 0² - 4×1×0 = 0 - 0 = 0.
Since Δ = 0, there is only one x value. Graphed, the parabola touches the x axis at only one point.
c) x² + 1. a = 1, c = 1.
The discriminant will be 0² - 4×1×1 = 0 - 4 = -4
Since Δ < 0, there are no real x values. Graphed, the parabola floats above the x axis.
Hope this helps!
1. 12 mph, 24 miles
2. m=4, y=22
3.15/1, $1500
4. x=30 y=60, k cheaper, j cheaper
Answer
500
Step-by-step explanation:
If the biologist tags 25 birds and lets them go, and then catches 100 and 5 of them have the tags, that would mean 20 of them are still out in the wild.
The way to solve this is if you put it into a proportion.
5/100 = 25/x
5x = (100)(25)
5x = 2500
5x/5 = 2500/5
x = 500
5/100=25/500
