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!
-6x+10 would be ur answer :)
Answer:
Expected return for site A = $9.6 million
Expected return for site B = $12.4 million
according to the above results the company should choose SITE B because it has higher Expected return
Step-by-step explanation:
Given;
For site A,
Site A net if successful = $30 million
Success probability = 0.4
Site A loss if not successful= -$4 million
Probability of not successful = 0.6
For site B.
Site B net if successful = $60 million
Success probability = 0.3
Site B loss if not successful= -$8 million
Probability of not successful = 0.7
To estimate the expected return on an event with outcomes X1 and X2 with probabilities p1 and p2
E = X1(p1) + X2(p2)
Substituting for site A
E = 30(0.4) - 4(0.6)
E = $9.6 million
Substituting for site B
E = 60(0.3) - 8(0.7)
E = $12.4 million
Therefore, according to the above results the company should choose site B because it has higher Expected return
Hi, here is my answer:
First, if you want to determine that's relation is function, you have to realize that your value of x(Domain) is not repeated.= so, it's a function
But...If your value of x (Domain) is repeated twice or more, so I can guaranteed that is totally NOT a function