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.

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.

A: The phone vibrates down the ramp hitting a marble that s on a stop that turns potential energy into kenetic a energy as it goes down a ramp hitting a lever.

B: A marble hits the bottom the lever witch hits the car above.

C: The car travels down a ramp over the chair falling in a basket.

D: The car fals in the basket lifting a lever that is blocking a large marble.

E: The marble is re-elected and rolls down a woden path.

F: The marble falls on the mouse trap witch lets the flag go.

G: The weights on the other side of the tower drag the flag up.(raising the flag)

ENERGY TRANSFERS

1 section A when potential energy turns into kenetick energy with the marble.

2 section C-D when kenetic energy turns into more kenetic energy with the lever

3 section f the mouse trap uses elastic energy and is set off using kenetic energy