Answer:
1a:
+
= 
1b: See below
1c:
inches between the beetle and ant
Step-by-step explanation:
1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.
So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:
+
= 
1b. Solve the equation written above from 1a.
+
= 
-3/4 -3/4 [subtract 3/4 to start the process of getting x by itself]
= 1
*3/1 *3/1 [Multiply Reciprocal to get X by itself]
x= 
1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them
5 1/4 - 2 1/2 = 
Answer:
Step-by-step explanation:
5. A straight line (view that attached graph)
6. y = x² + (-3) is equivalent to y = x² - 3
0:
y = x² - 3
y = 0² - 3
y = 0 - 3
y = -3
(0, -3)
1:
y = x² - 3
y = 1² - 3
y = 1
y = -2
(1, -2)
2:
y = x² - 3
y = 2² - 3
y = 4 - 3
y = 1
(2, 1)
3:
y = x² - 3
y = 3² - 3
y = 9 - 3
y = 6
(3, 6)
So the answers are: -3, -2, 1, 6
Hope this helps!
Answer:
71
Step-by-step explanation:
(73)-2 is equivalent to 71