1. Bellwork #32 April 20th, 2017 Grab a BW sheet from the Algebra I bin.
Last day to retake the Chapter 9 Test: Friday, April 21st – after school.

3. #1:
A company wants to maximize its profits by selling radios. The following equation gives the profit as a function of the number of hours the assembly line is operating each day, (ℎ, 𝑃), where ℎ is the number of hours and 𝑃 is the profit made.
 𝑃 ℎ =−48 ℎ ℎ−1560

4.  𝑃 ℎ =−48 ℎ ℎ−1560
a. Find the number of hours the assembly line should be operating daily to reach the maximum profit.
b. Find the maximum profit the company can make. Round to the nearest hundredth as needed.

7. #2: Graph the parabola using five points
#2: Graph the parabola using five points. Use only integer values to graph! 𝑓 𝑥 =− 1 2 𝑥 2 +2𝑥+3

8. HW Questions?

9. Section 10.3 – Finding & Estimating Square Roots
Algebra I

11. Objective 1: Finding Square Roots
Key Concepts: Definition – Square Root
The number a is a square root of b if 𝑎 2 =𝑏
Example: 4 2 =16 and −4 2 =16, so 4 and -4 are square roots of 16.
So the radical symbol indicates a square root. The expression means the positive, or principal square root of 16. The expression means the negative square root of 16. The expression under the radical is a radicand.
You can use the symbol ± to indicate both square roots.

12. Example 1: 3 2 = −3 2 = What are the square roots of 9?
3 2 = −3 2 =
What are the square roots of 9?
What are the square roots of 729?
What are the square roots of -196?

13. Things to remember… Every positive number has how many square roots?
Every negative number has how many square roots?
What is the only number that has one real square root?

14. Quick Check #1: Find the real square roots of each
1.) ) -144
3.) )

15. Example 2:
What is each problem asking for?
a.) − 25
b.) ± 25
c.) 25

16. Quick Check #2:

17. Objective 2: Estimating and Using Sq. Roots
The squares of integers are called perfect squares.
You can estimate square roots by using perfect squares.
List the perfect squares up to 10:

18. Example 3:

19. Quick Check #3: Estimate using perfect squares14
− 105 50

20. Introduction to 10.4…
(1) If 𝑥 2 =49, how would you solve for x?

22. (2) If 𝒙 𝟑 =𝟖, then to solve for x, you would?...

24. Quick Check #4
Solve: 5x2 = 80