Weekly Blog Post #10 Function Notation
Function notation is when you get the x or y value of a graph and you have to use it to find the other value, it can also be used to turn a y value equation into an x value equation for example if y = f(x) and the equation is y = 0.5x – 0.25 it can be turned into f(x) = 0.5 – 0.25
In this graph 0.7 = 2.7, 1.8 = 3.2, and 2.6 = 0.8
Weekly Blog Post #9 functions and relations
If you have two circles and one of them has the father in it and the other has the two children in it the connection between the father and the children would be a relation because the father has two people that he is connecting to, but the connection between the two children to their father would be a function because they both only have one father
Weekly Blog Post #8 domain and range
When righting the domain and range of a graph you have to put the lowest x value is less than or equal x and that the greatest x value is greater than or equal to x. you do the same thing for the range but it has a y value instead of an x value. If one of the lines has an arrow on it that means that it goes infinitely in that direction when this happens you put an ER instead of a value
in this picture the domain is 0 ≤ x ≤ ER
And the range is ER ≤ y ≤ 0
Week 6 blog post
Factoring polynomials
To factor a polynomial you have to find the lowest common multiple of all the terms in the then you put that LCM on the outside of the brackets then on the inside of the brackets you put the terms multiplied by the LCM will equal the terms from the original question, if you are factoring a question and every term is a perfect square you can write the square root of all the terms and rewrite the equation as the square roots on the original terms
X2 – 7x + 10 16x4 – 1
(x – 5 ) ( x – 2 ) (4x2 + 1) (4X2 – 1)
Weekly Blog Post 5
Multiplying binomials
When you multiply binomials you can use a stop called foil with foil you multiply the to front terms then you multiply the to outer terms the you multiply the to inner terms then finally you multiply the to terms on the right side, once you have all of those you need to add the two terms that both have one variable then you should have a trinomial, if there the first term has no number than you can use a pattern to figure it by just multiplying the two first terms which should almost always be x2 then you add the second terms together then multiply the second terms together
(5x + 8) (2x – 3) (x + 7) (x + 4)
10x2 -15x + 16x – 24 x2 + 11x + 28
10x2 + x – 24
Prime factorization
To find the prime factor you can either use division or a factor tree with division you divide the number by what even the easiest number is and you keep dividing till you get to one then you take all the numbers you divided by and turn them into prime numbers if there not already then you have the prime numbers of that number. For a factor tree you need to get two numbers that multiply to make that number then do that to those numbers till you have all prime numbers.
Negative exponents
To solve a negative exponent you need to either find out what the answer would be if it was a positive exponent then make it one over that number an example of this is 5 to the power of negative 3 since 5 to the power of positive 3 is 125 the 5 to the power on negative 3 will be 1 over 125. Or you can get rid of the exponent by tuning it into a fraction and putting it on the opposite side that it was on (if it was negative on the bottom you move it to the top and then the exponent will become a positive)
My question is: What would the effects be on earth if a nearby star went supernova?
According to the articles I read it would depend on how far away the supernova occurs. So far many have been detected but they have all been to far away to harm the earth.
A star would need to be closer to earth than about 50 to 100 light years distance for it to have an effect on us. It would not destroy the earth, but could (potentially) heat the side of the earth being hit by the radiation to temperatures high enough to destroy life, boil away water and, if strong enough, it could potentially destabilize earth’s orbit.
There is another star that is 150 light years away from the Earth called IK Pegasi B and it has a chance of going supernova anytime in the next 10 million years.
If a supernova from 33 light years hits earth every 240 million years, gamma rays would be responsible for most of the effects on earth like introducing a chemical reaction in the upper atmosphere, depleting the ozone layer to the point that it could expose the surface to harmful solar and cosmic radiation.
Would we know it was coming? The answer is yes! When the radiation from the explosion begins to interact with the earth’s atmosphere the effects would become visible to humans. At their brightest, supernova can outshine an entire galaxy. At least we’ll see the shock coming before it happens. It’s what happens after that is scary!
https://www.quora.com/If-a-supernova-hit-Earth-what-would-the-stages-of-its-impact-be-and-would-we-be-able-to-see-the-supernova-getting-closer-and-closer-or-would-we-be-dead-by-then
Additional Sources:
https://en.wikipedia.org/wiki/Near-Earth_supernova
https://www.newscientist.com/article/dn2311-supernova-poised-to-go-off-near-earth/
My Opinion
For the IK Pegasi B star I think that it will go supernova but thankfully not for a long time. Since it’s expected to not happen for 10 million years I don’t think that I will ever experience a supernova in my lifetime. A gamma-ray burst could affect Earth in much the same way as a supernova but again astronauts seem fairly certain it won’t happen for many years.
Reflection
For this assignment I worked on developing my thinking competency. I read many articles and thought deeply about the information before writing about my answer to the question for this assignment. I also thought deeply about my question for this blog. Also I worked on developing my researching skills. It’s difficult to find articles that you can trust the information and I looked for many articles that I thought had credible information.