Reflections:
A reflection or turning is the mirror image of a figure. It can also be said that it is the turning of points and graphs around the axes.
To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)
Resulting:
-x3
Expansions and Compressions:
Expansions and compressions are transformations that change the length or width of the graph of a function. The general form of the graph of a function expands or compresses vertically or horizontally.
To graph y = a f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
Resulting:
-2x3
Displacements (Translations)Translations are transformations that change the position of the graph of a function.
Suppose that k > 0
To graph y = f (x) - k, move the graph of k units down.
Resulting:
G (x) = -2x3 - 7
Answer:
C. The graph of G (x) is the graph of F (x) stretched vertically, reflected over the x-axis, and shifted 7 units down.
Answer:
(x,y)=(-1,-4)
Step-by-step explanation:
-4x + y = 0
+4x +4x
y=4x
-5x - 2y = 13
+5x +5x
-2y = 5x+13
-2(4x) = 5x+13
-8x=5x+13
-5x -5x
-13x/-13=13/-13
x=-1
Thus:
y=4x
y=4(-1)
y=-4
Answer:
3(x+2)=3x+6
Step-by-step explanation:
3 times x is 3x and 3 times 2 is 6, so you combine the expression to get 3x+6
QUESTION:
A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent full. how fast did the battery charge and how long did it take?
Solution :
<u>Given</u>
- Initial amount of charge = 23%
- Amount after charge = 89%
<u>procedu</u><u>re</u>
Let the rate of charging be r .
r = (change in charge level) / (time interval) = (89% - 23%) / (30 min) = 2.2 % per minute
charge = (rate of charging)(time) + (initial charge)
100% = r*t + 23%
100% = (2.2 %/min)t + 23%
Solve for t and get
t = [(100 - 23) / 2.2]
Answer = 35 min
1) 100% - 30% = 70% - remainder
70% = 0,7
50% = 0,5
2) 0,5 * 0,7 = 0,35 = 35% - made some pancakes
3) 70% - 35% = 35% = 0,35 (= 1400 g)
4) 1400 : 0,35 = 4000 g = 4 kg - aswer.