Algebra Answers

ways could we arrange so that marbles of the same color are together? In

how many ways could we pick 3 marbles so that one marble of each color

are picked ?

solve the equation for x belongs to R x/x-1 is equal to x + 1/x-2

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 view a function?

What strategy are you using to get the graph of a function?

The cost in dollars of making x items is given by the function

C(x) = 10x + 500.

a. The fixed cost is determined 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)?

Sketch a graph of a piecewise function. Write the domain in interval notation.

[Suggestion: for example, go to www.desmos.com/calculator and write {-1 < x < 1}

and

y = 3x - 2 {1 < x < 3}

Then choose your own functions and have fun].

A man entered an orchard through 7 gates, and there took a certain number of apples.

When he left the orchard, he gave the first guard half of the apples that he had and 1

apple more. To the guard at the second gate, he gave half of his remaining apples and 1

apple more. He did the same with each of the remaining 5 guards and left the orchard

with 1 apple. How many apples did he gather in the orchard?

Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold? Be sure to define your variables first.

Consider the equation 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 , if and only if, (x, y) R (0, 2)”.

Does this equation determine a relation between x and y?

Can the variable x can 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 graphs of these two functions?

Are there points of the coordinate axes that relate to (0, 2) by means of R?

a hiker is hikeing up a mountan he spends 4 hrs climbeing up the moutan at a 800m then spends 2 hrs desending at 1200m