Algebra Answers

Your principal instructs you to add 10% to all your learners marks on their reports.formulate two critical questions that you have ask in response to the instruction?

A curve has equation f(x)=2x^2/x^2−1. What are the x and y intercepts if they exist.

Calculate the number of hot dogs that he has to sell to break even (make a zero)
He pays the cart owner R75 per night for the use of the cart, and he sells hot dogs for R16.50 each, his cost for the hot dogs is R9. 60 per hotdog

2. An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. How many seats are in the theatre?
3. Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on. If the daily wage keeps doubling, what will your total income be for working 31 days?

Sam and sarah saw seven sharks while swimming. Now how many S is in this sentence?

For what value of x; x^4+4x^2+x+8/x^2+4/x^4 is a complete square where x is not zero

Consider the equation x^2 + (y - 2)^2 = 1 and the relation "(x , y) R (0 , 2)", where R is read as " has distance 1 of ". For example, " (0 , 3) R (0 , 2)", that is "(0 , 3) has distance 1 of (0 2)". This relation can also be read as " the point (x , y) is on the circle of radius 1 with center (0 , 2)". In other words : "(x , y) satisfies this equation. X^2 + (y - 2)^2 = 1, if and only if , (x , y) R (0 , 2)"
Does this equation determined a relation between x and y ? Can the variable x be seen as a function of y, like x = g(y)? Can the variable y be expressed as a function of x, like y = h(x)?.
If these are possible, then what will be the domains for these two functions?
What are the graph of these two function?
Are there points of the coordinate axes that relate to (0 , 2) by means of R?

1. Find the domain of the function using interval notation. f(x) = √x - 6/√x-4
2. Sketch a graph of a piecewise function. Write the domain in interval notation. [go to www.desmos.com/calculator and write y = x^2 {-1<x<1} and y = 3x - 2 {1<x<3}. Then choose your own function and have fun.]
3. The cost in dollars of making x items is given by the function c(x) = 10x + 500.
a. The fixed cost is determine when zero items are produced. Find the fixed cost for this item.
b. What is the cost of making 25 items?
c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function, c(x)?

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

For each of the following number sequence below,
1.state the first term , and write the next four terms of the sequence
2. Find the common difference
3.find the general Th for the sequence
4.write down the input and output value of the five terms of the sequence in a table
5.represent the number sequence on a coordinate plane in a graphic form
6.write down the number sequence of positive multiples of three starting at six
7. 9;14,19;...
8. 3:7;11;....
9. 8;15;22;...
10. 4 ;11,18