Since the functions are not included, I can help you with some examples and a general explanations which will help you to solve this kind of problems.
1) Assumption: all the functions that are considered are linear.
That means that f(x) = x is the parent function, and you can obtain the other functions by a set of transformations (translation and scalation) of the parent function.
2) Example 1: y = x + a
This is a special case of adding a constant to the function.
In this case, the graph of the new function is the graph of the parent function shifted a units upward.
3) Example: y = 5x
This is a special case of multiplying the function times a constant.
The result is streching the graph vertically by the same scale factor.
4) Example: y = (1/5)x - 8
In this case, the graph of y is obtained by scaling the parent function f(x) = x by 1/5 (which results in compressing the parent function vertically) and shifting the parent function 8 units downward.
The answer is 553 general admission tickets sold and 295 VIP tickets sold
Since this is due in 10 minutes, I didn’t give a step by step explaination, but if you need one, just comment on this.
Answer:
What's the question?
Step-by-step explanation:
| 4x - 8 | < 12
-12 < 4x - 8 < 12......add 8 to every section
-12 + 8 < 4x - 8 + 8 < 12 + 8
-4 < 4x < 20 ....divide every section by 4
-4/4 < 4x/4 < 20/4....simplify
-1 < x < 5 <====
Answer:
Step-by-step explanation:
A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it's width. Let the width of the rug be represented by w. This means that the length of the rug will be w + 2
The total area of the rug (in square inches ) based on the width W of the rug (in inches ) is given by
A(w) = w (2+w)
If the desired area of the rug is 15 square inches,,the width will be determined by substituting 15 for A(w). It becomes
15 = w^2 + 2w
w^2 + 2w - 15 = 0
w^2 + 5w - 3w - 15 = 0
w(w+5) -3(w+5)
w - 3 = 0 or w+ 5 = 0
w = 3 or w = -5
w cannot be negative. So w = 3 inches
