SO what you need to do is:
<span>Start with |f(x) - 3| < 0.4
and plug in f(x) = x+1
to get
|f(x) – 3| < 0.4
|x+1 – 3| < 0.4
|x - 2| < 0.4
-0.4 < x - 2 < 0.4
-0.4+2 < x < 0.4+2
1.6 < x < 2.4
So delta would be 2.3
Hope this is what you were looking for
</span>
Answer:
The seagull's position halfway is 85.5 feet.
Step-by-step explanation:
The seagull is at 125 1/2 feet above the sea level.
The fish is at 45 1/2 feet below the sea level.
The distance between the seagull and fish = seagull's distance above the sea level + fish's distance below the sea level
= 125 1/2 + 45 1/2
=
+ 
= 
= 171
The distance between the seagull and fish is 171 feet.
Since the seagull stops halfway, then;
seagull's position = 
= 85.5
The seagull's position halfway is 85.5 feet.
0.65 =
6/10 = 0.6
+
5/100 = 0.05.
Add: 0.6 + 0.05 = 0.65.
Hope this helped☺☺
Answer:
Step-by-step explanation:
Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.
original function x.
1. (x-7): horizontal shift of 7 units to the right.
2. 1/3(x-7): Horizontal stretching by factor 1/3.
3.-1/3(x-7): Reflection with respect the x-axis
4.-1/3(x-7)+2: Vertical shift of two units up.