If f(x) = (2x + 1)(2x + 3), complete the square and determine the minimum or maximum value of the function.
a) f(x) = 4(x + 14)^2 + 3 and f(x) has a maximum value f(−1/4) = 3.
b) f(x) = 4(x + 14)^2 + 3 and f(x) has a minimum value f(−1/4) = 3.
c) f(x) = 4(x + 1)^2 − 1 and f(x) has a maximum value f(−1) = −1.
d) f(x) = 4(x + 1)^2 − 1 and f(x) has a minimum value f(−1) = −1.

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

Factor the polynomial expression x6 – x3 – 20

Ze trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. what is ze relationship between the values of m and n? explain how you got ze answer