We are given with the costs: 4$ entrance fee and 3$ per pound of pumpkin picked. The total amount of costs is represented by the function: y = 4 + 3x where y is the total cost of a person entering the patch and x is the number of pounds of pupmkin bought.
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
Answer:
No
Step-by-step explanation:
Definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
Here we have more than one output for one input:
- x=-1 => y= -1, 0, 1
- x= 1 => y= 1, 2, 3
So this is not a function
To complete the square, you would add to both sides (8/2)^2 = (4)^2 = 16. So, the correct answer would be D.
