Algebra Answers

1. Create a one-to-one function. It is very important that your function is one-to-one because you will find its inverse. Can't use the function y = x as your one-to-one function.
2. Post a picture of your function's graph.
3. State the window used to graph your function. Carefully choose your window so that it shows as much of the function as possible. Show window on your graphing calculator.
4. Find the inverse of your function.

The expression that is equivalent to( 5x³ )² /25x³

Use the fact [x y 1]

[a1 b1 1] =0

[a2 b2 1]

To determine the equation of the line passing through the distinct points(a1, b1) and (a2, b2) where (.) stands for det.

3.1. Complete the tables below: Situation Reasoning Number sentence Jim and Jabu each join a gym. Jim’s gym takes R150 deposit, and he pays R120 monthly. Jabu’s gym takes no deposit, but his monthly payment is R150. They compare their total payments after four months, after five months and after six months.

3.1.1 Reasoning

3.1.2 Number sentence

Suppose v1;v2;vm is linearly independent in V and w 2 V. Prove that dim span (v1 +w;v2 +w;:::;vm +w) m1.

Alex bought 10 potatoes and 6 onions for $15. Carlos bought 5 potatoes and 2 onions for $6. What is the cost of the onions?

Prove that 2ⁿ>4n for n≥5.

The price (in rands) in June of 1 kg packet of laundry in kwaDukuza is shown for each 5 years 2016 - 17.8, 2017 - 29.6, 2018 - 41.1, 2019 - 46.3, 2020 - 46.5 find the percentage increase in the price between each period

The cost per student to attend a school trip is $10.00. At this price, 2000 students will go on the trip. A survey indicates that for every $1 they would lose 100 students. What price per student would result in the greatest revenue.

1. Describe two different situations that could be modelled by an exponential function.

2. Clearly define all variables in the relationship.

3. Interpret the growth or decay factor and the initial amount, which cannot be 1.

4. Explain why this type of function makes sense as a model for these real applications, by referring to key features of this function.

5. Your justification should also include reference to at least two of graphical, numeric, and/or algebraic models.