# precalculus project 1

User Generated

nzbbev786

Mathematics

## Description

Be sure to include ALL pages of this project (including the directions and the
assignment) when you send the project to your teacher for grading. Don

This project will count for 10% of your overall grade for this course. Be sure to read all the instructions and assemble all the necessary materials before you begin. You will need to print this document and complete it on paper. Feel free to attach extra pages if you need them.

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Please find attached the solution and scanned copy for respective graphs and number line. Please let me know if you have any doubts.Please note "Solution.pdf" is exactly same as fine sent before.

1.

𝑝𝑟𝑜𝑝𝑒𝑟 𝑠𝑢𝑏𝑠𝑒𝑡𝑠 𝑜𝑓 𝐶 = { }, {𝟐}, {𝟒}, {𝟔}, {𝟐, 𝟒}, {𝟐, 𝟔}, {𝟒, 𝟔}

2.

7
8

3.

5
11

= 𝟎. 𝟖𝟕𝟓
= 0.454545 = 𝟎. ̅̅̅̅
𝟒𝟓

̅̅̅ = 0.545454
4. 0. ̅54
̅̅̅ = 0.545454
𝐿𝑒𝑡, 𝑥 = 0. ̅54
𝑠𝑜, 100𝑥 = 54.545454

… (1)
… (2)

𝑆𝑢𝑏𝑡𝑟𝑎𝑐𝑡𝑖𝑛𝑔 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛(1)𝑓𝑟𝑜𝑚 (2):
100𝑥 − 𝑥 = 54.545454 − 0.545454
⇒ 99𝑥 = 54
54
6
⇒𝑥=
=
99 11
𝟔
̅̅̅ =
⇒ 0. ̅54
𝟏𝟏
375

75

5. 3.75 = 100 = 20 =

𝟏𝟓
𝟒

6. 12 − 𝑥 − 𝑥 2 = −(𝑥 2 + 𝑥 − 12) = −(𝑥 2 + 4𝑥 − 3𝑥 − 12) = −(𝑥(𝑥 + 4) − 3(𝑥 + 4))
= −(𝒙 − 𝟑)(𝒙 + 𝟒)
7. 27𝑥 3 − 12𝑥𝑦 2 = 3𝑥(9𝑥 2 − 4𝑦 2 ) = 3�...

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