Algebra Answers

The length of a rectangular garden is 4m greater than the width. The area of the garden is 20m squared. Find the dimensions of the garden.

I. Solve polynomial equation using formula method

3x² +9x + 7=0

Ii. Solve polynomial equation using factorization method

X³+2x² ‐ 9x -18=0

Find X in log6 x= ‐2

A company calculates its expected profits as a function of the quantity of the items it can sell. How much are their expected profits if the company’s profit function is P(q)=q³−2000q+500 and their current sales quantity, q, is 60?

solve: /3x^2+2x/=x/3x+2/

What can you say about the upper bound of E(x) for numbers of the form 3^(2n) + 1?

Reflect on the concept of polynomial and rational functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest polynomial and rational function you can imagine? In your day to day, is there any occurring fact that can be interpreted as polynomial and rational functions? What strategy are you using to get the graph of polynomial and rational functions?

find the missing term in a proportion: solve for the value N.

16.5:4 = N:20

17.N:2 = 10:20

18.6:N = 12:36

19.9:4 = N:16

20.5:12 = 35:N

Sketch the graph of the functions:

1. f(x) = 5

2. h(x) = 3x + 2

3. q(x) = x2 + 6x -7

4. k(x) =

5. h ₒ g = 2x3 + x2 – 10x - 5

6. g ₒ f = (2x + 1)(x – 3) = 2x2 – 5x -3

Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?