This week was mostly tests and studying but we also learned how to plot quadratic iniquities an a number line / x axis.
First review the basics.
Now an example including solution.
Plot on line.
Insert answer into original question to find out if the circle is open or closed.
Then we know our answer is correct and we know the circle is open.
This week I learned about calculating revenue.
This week we learned how to graph equations the are in standard form.
here is a diagram of what each part of a standard form equation does.
This week we Learned about factoring.
You are trying to find what number multiplies to the last number and adds to the second number.
This week what stood out to me was finding out how to identify perfect square trinomials. below is an example of a perfect square trinomial.
To make sure it is a perfect square trinomial you have to divide the middle number by 2 then square it, the number you get should be the last number if it is not that means it is not a perfect square trinomial.
this week the thing that stood out to me was dividing radicals. when dividing radicals you have to multiply the top and bottom buy a root.
it is pretty much just simplifying.
This week in class we learn how to make a number into an absolute value. In short, it is finding how far away from 0 a number is on a number line. when you are asked to find an entire radical you will see a number with two lines on either side of the number.
Eg. l-45l = 45
Eg. l32l = 32
If there is a minus symbol on the outside it means the radical will be negative.
Eg. -l-28l = -28
This week the thing that I learned in class that I found the most interesting was how to find the sum of an infinite geometric series. For a geometric series to be infinite the common ratio (r) has to be greater than -1 and less than 1 (Ex. 0.89).
The equation to find the sum of an infinite geometric series you have to use the following equation
if we had a series with the 1st term being 3 and the difference being 0.72 then the equation would look like the following.
This week I learned a lot of new things but one that stood out was finding out how to add up all the numbers in a arithmetic sequence. The formula we use is below.
In a sequence such as 1,3,5,7,9 to find you would have to use the above equation as well as and equation to find the solution is as follows in the picture of my work.