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Sketch the graph of f: x->x+|x+2| where x€R


using the digits 1942. how can you make it equal 1


4.Three women bought notebooks which was advertised to be P27.00 each. Each give P10.00 to the agent, and ask her to bring back P3.00. The agent returns to the desk. where she learns that the notebook is actually only P25.00 each. She gives P25.00 to the desk clerk, returns to the women, and gives back each P1.00, deciding not to tell them about the actual rate. Thus the agent has pocketed P2.00, while each guest has spent 10-1-P9, a total of 2+3-9-P29. What happened to the other peso?


John had 5 cookies and ate 2 how much more cookies does he have left?


Express the function g ,defined by g(x)=1/√x+√x,as a composition of three function


If we know that the roots of the cubic equation x3 - 61x2 -8000 = 0 are in G.P., then find the roots of the equation.

x>0, n>=1, prove that 1 + x + x2 + .....+ x2n >= (2n+1)xn

An employee of a big business company earns a gross annual salary of



₱450,000. What is the weekly, and monthly pay for this employee?


Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.



1. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how many eggs there were in all. However, he did remember that when he tried to pack them into packages of 2, 3, 4, 5, and 6 he had one left over each time. When he packed them into packages of 7, he had another left over. What is the smallest number of eggs he could have had in the shipment?



2. Edwin has 100 baseball cards. He wants to place the cards in three stacks so that the second stack has twice as many cards as the first, and the third stack has twice as many cards as the second. How many cards will be in each stack? How many will be left over?


1. A box contains 3 red,10 white, 5 blue and 2 green balls identical in mass and shape. Find the ratio of the number of green ball to the total numbers of balls.



2. The number of goals scored by a famous footballer per match in a tournament are:


0,2,1 0,1,3,2,1,1,1,4,1,1,2,1 2,0,0,1,1,1,1,0,2,0,0,2,1,1,3


From this data, find the ratio of the number of matches where the footballer scored more than two goals to the total number of matches.


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