Assignment:
Q1. Factor
1). x^2 + 12x +36 – y^6
2). 9y^2 + 12y + 4 – x^2
Q2. Solve each equation
n^2 + n = 72
(4x + 9)(x – 4)(x + 1) = 0
m^3 = m^2 + 12m
(x + 4)(5x – 1 ) = 0
x^ + 6x – 7 = 0
Q3. A stereo system installer needs to run speaker wire along the two diagonals of a rectangular room whose dimensions are 40 feet by 75 feet. Find how much speaker wire she needs.
Q4. The longer leg of a right triangle is 4 feet longer than the other leg. Find the length of the two legs if the hypotenuse is 20 feet.
Q5. After t seconds, the height h(t) of a model rocket lauched from the ground into the air is given by the function h(t) = -16t^2 + 80t. Find how long it takes the rocket to reach a height of 96 feet.
Q6. The function W (x) = 0.5x^2 gives the number of servings of wedding cake that can be obtained from a two-layer x-inch square wedding cake tier. What size square wedding cake tier is needed to serve 50 people?
Provide complete and step by step solution for the question and show calculations and use formulas.