This week we learned how to Multiply and divide rational expressions.

First factor the top and bottom of each fraction. then look and see if there are adding or subtracting between the expressions because they hold each expression together so that they can’t cancel out. Now, find the numbers that your variable can’t equal these are your non-permissible values. Then cancel out your pairs of expressions. You now have a finished answer.

eg.

Graphing absolute value quadratics. When graphing an absolute value quadratic’s you basically reflect whatever is below the x axis.

example

Original Y = -x^2+5 is red

Absolute Y = l-x^2+5l is blue

If the whole parabola is below the x axis this is what it looks like.

Original Y = -x^2-3 is green

absolute Y = l-x^2-3lis blue

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 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 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.