Math Answers

a.Find the number of three-digit numbers can be formed using the numbers 2,3,5,6,7 and 9.

b. how many are greater than 800

Let A = {x ∈ R : x 2 = 2} and B = {x ∈ R : x ≥ 0}.

1. Find A ∩ B.

2. Find A ∪ B.

3. Find A − B.

4. For U = R, find Ac and Bc .

5. Find N − B.

Let A = {2, 3, 5, 7, 11, 13} and B = {A, 2, 11, 18}.

1. Find A ∪ B. 2. Find A ∩ B. 3. Find A − B.

P(x)=6x³+5x²-2x-1

Let a and b be two cardinal numbers. Modify Cantor’s definition of a < b to define a ≤ b. (Hint: Examine what happens if you drop condition (a) from Cantor’s definition of a < b.) 2. Prove that a ≤ a. 3. Prove that if a ≤ b and b ≤ c, then a ≤ c. 4. Do you think that a ≤ b and b ≤ a imply

a = b? Explain your reasoning. (Hint: This is not as trivial as it might look.)

Gayle is thinking of starting her own business. Total fixed costs are $19,000 per month and unit variable costs are estimated at $37.50. From some preliminary studies that she completed, she forecasts sales of 1,400 units at $50 each, 1,850 units at $48 each, 2,500 units at $46 each, and 2,750 units at $44 each. What price would you recommend Gayle set for her products? 

What is the independent variable?

Check your Understanding

Solve the following. Write your solutions on a separate sheet of paper.

1. A private organization distributed 5-kilo rice packs to a certain barangay placed under

special lockdown due to COVID 19. If the rice sells at P40 per kilogram, how much did the

organization spent if a total of 125 rice packs of rice was given?

2. An express delivery driver earns P500 daily for an eight-hour shift and an additional P35 for

every hour after that. Generate a function to solve his total earnings.

3. A computer shop charges P15 for the first hour and P10 for the succeeding hours. If Jacob

pays P45, how many hours did he rent the computer?

4. Ichan bought a car, he puts Php25 000 down payment and make monthly payment of Php12

000. If his car cost Php 457 000, how many years will it take him to pay it off?

5. Riza earns Php90 an hour in a toy factory with an additional of Php45 for her daily meal

allowance. On a Tuesday she earned a total of Php585, how many hours did she work for

that day?​

Search results for If v=(y²+z²-x²) î+ (z²+x²-y²) j^+(x²+y²-z²) k^, then find to it's divergence v and curl v? 

1.                  Let p and q be the propositions “Swimming at the Corregidor Island shore is allowed” and “Sharks have been spotted near the shore,” respectively. Express each of these compound propositions as an English sentence.