<em>Complete Question:</em>
<em>Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen. </em>
<em>A) what output does the rule give when the input is (-6,0)? </em>
<em>B)What output does the rule give when the input is (3,-4)? </em>
<em>C) Is the rule a function? Explain why it is or why it is not
</em>
Answer:
a. The output is (-9,4)
b. The output is (0,0)
c. See Explanation
Step-by-step explanation:
Given
Rule: (x,y)->(x - 3, y + 4)
Solving (a):
Inputs:


The outputs is as follows;






Hence:
The output is (-9,4)
Solving (b):
Inputs:


The outputs is as follows;






Hence:
The output is (0,0)
Solving (c):
The function is a rule and the rule is that:
It shifts the graph left by 3 units and up by 4 units
From the table we notice that:

This means that Diana traveled 11595 ft more than martin; this also means that Jake and Abby traveled more than that amount farther than Martin's balloon (since their distances are greater that Diana's distance)
Therefore, Abby's Jake's and Diana's balloons traveled 11595 ft farther than Martin's balloons.
Answer:
Range: {-1, 0, 1}
General Formulas and Concepts:
<u>Math</u>
<u>Algebra I</u>
- Range is the set of y-values that are outputted by function f(x)
- {Set Builder Notation}
Step-by-step explanation:
<u>Step 1: Define</u>
[Relation] {(-4, 1), (-2, 0), (8, -1)}
<u>Step 2: Identify</u>
According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.
Answer:
2(3)^-2(-2)^-2
2 x 1/9 x 1/4
2/36= 1/18
Step-by-step explanation:
Answer:
A) Yes, m=-3 and b = -3
Step-by-step explanation:
The m is the slope of the line and the b is the y-intercept. We can see that the y-intercept is at -3, so that means D and B are not the answer. This leaves us with A and C. The slope of the line is going down instead of up, meaning that the slope of the line is negative. This means that C is not the answer.
Therefore, the answer is A, m= -3 and b= -3.