### formulas??

I was wondering on the formula sheet for the exam is everything on there?? Or is there any specific ones we need to memorize?? Like the ones from the consumer unit and other ones too.

Just wondering. Thanks.

*This is a blog for my second semester pre-calculus 30s students. Have a blast!*

I was wondering on the formula sheet for the exam is everything on there?? Or is there any specific ones we need to memorize?? Like the ones from the consumer unit and other ones too.

Just wondering. Thanks.

1) D 2) A 3) D 4) C 5) B 6) B 7) C 8) A 9) A 10) B 11) C 12) C 13) A 14) B 15) B 16) D

17) C 18) C 19) A 20) D

1) a) 9x^2 - 6x + 3 b) 9x - 4

2) x = -2 (-7 is not a solution when checked)

3) AT = 5 cm; angle TRD = 90 deg.; TD = 10; arc RD = 90 deg.; angle CTS = 70 deg.

4) check your TI-83

5) a) (4, 1) b) x = 4 c) D = (-inf, +inf) R = (-inf, 1] d) x = 3, 5 e) check TI-83

6) f_inv = (x-3) / 2

7) ommitted

8) a) 87 mills b) $6525

9) C = (-4, 5) r = 11

10) a) in class b) 2 c) 2

11) theta = 80.4 deg, 279.6 deg

12) x = (7 +- root(57)) / 4

1) ... 3x^2 - 33x - 78 = 0

3(x - 13)(x + 2) = 0

x = 13 (-2 is an extraneous root)

2) (tan x - 3)(tan x + 2) = 0

x = 71.6 deg, 116.6 deg, 251.6 deg, 296.6 deg

3) a) x = 1; y = -1; z = -2

(1, -1, -2)

b) (+- 9/4, +- root(175/16))

4) [-1,5] .... number line as well.

5) b = 51.4, 5.4

6) > lengths of sides are equal. (dist. formula)

> opposite sides have equal slopes. (slope formula)

> diagonals bisect each other. (mid point formula)

7) f(1) = 0

therefore..(x-1) is a factor

...after synthetic division....(x-3) & (x-2) are other factors

...roots = 1,2,3, y-int = -6 graph as well

8) Sales: (6000 - 200; Profit: (20 + x)

Max = (6000 - 200x)(20 + x)

...

...

= -200x^2 + 2000x + 120000

* h = 5

P = 20 + 5

= $25.00

9) Assume 2 = 1; given 3 = 1

1 + 2 = angle ABC

3 + 4 = angle ACB

1 + 2 = 3 + 4

therefore: angle ABC = angle ACB

...but given ABC not = angle ACB

therefore 2 does not = 1

10) a) * shift 2 right, up 1 of y = 1/x; VA: x = 2; HA; y = 1; graph using TI-83

b) VA: x = 3, -3 HA: none; y-int: x = -1/9; sketch graph using TI-83

11) r = 7 using (distance from pt to line formula)

C = (1,5)

* therefore equation: (x - 1)^2 + (y - 5)^2 = 49

*

Way to go Vince!!!!! Fantastic double scribe post. Hopefully everyone can take a look at this and match your efforts in following posts. Keep up the great work!!!!

**EXAMPLES**

**A upside down U B = m, u**

**( B \ A ) ' = o, p, s, m, u, r**

**A \ B = o, p, s**

**( A U B ) ' = r**

Just a quick note folks. I purposely haven't said anything in class about our scribe responsibilities over the past couple of weeks because there shouldn't be a need to. This is an enriched university entrance level course where standards and expectations are high. Everyone fully realizes that each day that there is a new lesson someone needs to be the scribe for that day. Even if it helps 1 or 2 people that night who might have been confused during the lesson then it's definitely served its purpose. Remember you are all responisble young adults and if the routine of scribing continues like it did for most of the course so far, everyone would only have to be the scribe every 21 classes (almost an actual month). Not a lot to ask for something which might make the world of difference to a few of your classmates, or possibly even people around the world taking the course. I've also noticed that it's the same group of 4 or 5 people who are always the "fill-in" scribes. The honus should be on everyone to put in their small part. Have a good day / night folks!!!

Logic and Proof: Inductive/Deductive Reasoning

If the same result occurs over again, we conclude it will always occur. This is called inductive reasoning.

ex. multiply and odd number by an even number

9 x 8 = 72

11 x 12 = 132

7 x 10 = 10

- From this, we can conclude that the products are all even. <-- We made a statement that is called a conjecture. A conjecture is something like an unproved theorem. Basically, we made a conjecture that says that all product of odd/even numbers are even.

*note: Having beyond 5 points made it difficult to count the regions, so I only did the first three examples.

*Conjecture: The number of regions follow the pattern 2

- The 6-sided polygon proves our conjecture wrong. Using our pattern, we should get 32 regions, but the 6-sided polygon only has 31 regions.

ex. Add 2 odd numbers.

1 + 3 = 4

5 + 7 = 12

9 + 11 = 20

- Sum is always even?

2x + 1, 2y + 1

- 2x + 1 + 2y + 1
- 2x + 2y + 2
- 2(x + y + 1)

ex

That's it for today's lesson. Homework is the Inductive and Deductive Reasoning worksheet and Exercise 45.

Hey folks,

The class average for the test was

I forget why I have to do this again, but it seems we get marks for it. So heres my before test post. I didn't know consumer work would involve so much work and understanding. Probably the unit with the most writing in it in my opinion. But its been straight forward so far hasn't it? Well not for me.. Good luck today on the test. ( I prayed this morning and asked if I could pass of the test haha )