Week 11 – solving inequalities

This week in Math, we learned how to solve quadratic inequalities.

Ex. x^2+2x<8

Get the 0 on one side: x^2+2x-8<0

If we think of this inequality as a parabola on a graph, we would have to find the zeros to determine when the parabola is negative (because it cannot be bigger than zero).

Factor: (x+4)(x-2)<0

zeros: -4, 2

Because we know that the parabola is opening up and that there are two solutions, our answer would have to be when the parabola is in the negative part of the graph.

Therefore,

-4<x<2

 

Week 9 – Factored form of quadratic functions

This week in Math we learned how to interperet graphs of quadratic functions in the form a(x-x1)(x-x2).

Ex. We can convert the general form of y=2x^2+6x+4 into factored form.

y=2(x+2)(x+1)

We can now find the x intercepts by utilizing the zero product law.

0=2(x+2)(x+1)

x=-2,-1

If we now plot these points on the graph, we can determine the axis of symmetry by figuring out the x value in the middle of these points, in this case, the AOS would be x=-1.5.  We now also have the first x value of our vertex.  We can then plug in this x value into our equation to solve for y value of the vertex.

y=2(-1.5+2)(-1.5+1)

y=-0.5

Vertex:(-1.5,-0.5)

Bloglog – Illegal exotic pet exports

https://www.nytimes.com/2018/04/09/science/illegal-wildlife-reptiles-amphibians.html

This article talks about the exotic pet industry and how it is an industry that is corrupt with a lot of illegal activity.  The author uses a headline that suggests that reptiles sold in pet stores are often either bread illegally or taken from the wild.  The author exemplifies that a lot of the illegal activity that goes on in this industry occurs in third world countries, where a lot of these animals live, and because of that the law enforcement is unable to shut down these illegal operations.  This article interested me because it makes you wonder about the source of things.  When you see clothes in the shelf of a store you wonder if it was made abroad, in an illegal sweatshop or if it was made legally.  This article illustrates that it is important that you know where all your purchases come from because in the this case especially we are talking about living creatures who have probably had a rough life.