What's the Discriminant of X^2-2X-15 ?
1 answer:
The discriminant is the secion inside the double parenthasees [()] below in the quadratic formulat which is
x=![\frac{-b+ \sqrt{[(b^{2}-4ac)]} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%20%5Csqrt%7B%5B%28b%5E%7B2%7D-4ac%29%5D%7D%20%7D%7B2a%7D%20)
the determinant determines or tells whether the answer is real or imaginary
if it is negative, then it is imaginary, if positive, then it is real
so basically the discriminmant is
so ax^2+bx+c
a=x^2-2x-15
a=1
b=-2
c=-15
subsitute
=4-4(1)(-15)=4+60=64
the discriminant is () or 64
x=
the determinant determines or tells whether the answer is real or imaginary
if it is negative, then it is imaginary, if positive, then it is real
so basically the discriminmant is
so ax^2+bx+c
a=x^2-2x-15
a=1
b=-2
c=-15
subsitute
the discriminant is (
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Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
