Completing the Square Assignment
1. Matching the solutions to the functions:
a) f(x) = x2 + 6x 16 Two real rational solutions
b) g(x) = x2 + 6x + 1 Two real irrational solutions
To find out whether the solutions of each equation are rational, irrational o
Applications of Rational Equations
1. Bob takes 8 hours to paint a house. His brother Dillon takes 12 hours to paint the same house.
Their parents want their house to be repainted by the time they come back from their holiday, so
if Bob and Dillon paint t
Module 5 Quiz
1. My rational expression as my game piece is 2x/2x+1
2. For Turn 1, I flipped heads. That means that I had to add 2x/2x+1 with (x+1)/2x. The first thing
to do is make the two expressions share a common denominator. This means that they woul
Module 2 Quiz
1. Equation: (x+2) = x-4
Working through the equation:
1. Square both sides: x+2 = x^2-8x+16
2. Subtract x on both sides: 2 = x^2-9x+16
3. Subtract 2 on both sides: x^2-9x+14 = 0
4. Factorize: (x-7)(x-2) = 0
5. Find each answer: x=7 or x=2
6
1.
2.
3.
4.
Module 4 Quiz
To find the factors of a polynomial, you would need to take the factors of the constant (p) and
divide the possible answers by the factors of the leading coefficient (q). In this case, the
constant is -24, and its factors are 1,
Module 3 Quiz
1. 4 Quadratic Functions
a) f(x) [difference of squares]: y = x^2-25
Simplified: y = (x-5)(x+5)
b) g(x) [sum of squares]: y = 9x^2+36
Simplified: y = 3(x^2+12)
c) h(x) [perfect square trinomial]: y = x^2+12x+36
Simplified: y = (x+6)^2
d)
Graphing Quadratics
1. f(x) = 2(x-7)^2 + 9
2. To convert my birthday function into standard form, start off with what we want the equation to
be like: y = ax^2 + bx +c. To do that, we need to simplify the original equation. To start, I
would need to first
Adding and Subtracting Rational Expressions
1. Both Theo and Paula did the first two steps right. However, Theo added an extra unnecessary
step of multiplying (x-2) into the numerator. That was where he made his error, the remaining
steps would have been
CP 7-3 Internal Controls
Some ways Wholesome Grocery Stores could prevent or detect the theft of merchandise is by
having scanning systems that are designed so an audible beep is heard each time an item is rung
up on the cash register. The beep is to aler