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Expand and simplify each function. Evaluate at f(- 2).


a. f(x) = (x + 1)(x - 2)(x + 3)


b. f(x) = (2x ^ 2 - 3)(x ^ 3 + 1)


Determine the primary and reciprocal trig ratios for the following angles.


a) (7pi)/4  


b) (- 2pi)/3


Fill in the blank.


(48 + 54) ÷ 6 = (48 ÷ 6) + (54 ÷ __)


The first three terms of an arithmetic progression are 5x, 2x+3, and 2x+7 respectively. Find the value of x


julian drops a coin from the top of the empire state building, which is approximately 1250 feet tall. if the coin falls 16 feet in the first second, 48 feet the next second, 80 feet the third second, and so on, approximately how long will it take for the coin to hit the ground?


Simplify 52(x-1)+5x+2=0.04

25

25


A pail contains a certain amount of water. After Peter used it to fill a 1.5 liter can, a 750 milliliter bottle, and a 2 liter 250 milliliter tin, he realized that he had a liter of water left in the pail. How much water was in the pail at first? Write your answer in liters and milliliters.





To attract more visitors, zoo authority announces 20% discount on every ticket which cost 29 paise. For this reason sale increases by 28% . Find the percentage of increase in the number of visitors.


Calculate the discriminant b2- 4ac to determine the number and type of solutions to x2+ 4x + 4= 0

Solve using the quadratic formula:

x2 + 4x + 3 = 0


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