Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
He saved 30 dollars through babysitting. My math is:
84 / 14 = 6
6 x 5 = 30
I hope this helps!
Answer:
There are 60 permutations that can be formed from the first five letters of the alphabet.
Step-by-step explanation:
The number of three letter permutations that can be formed from the first five letters of the alphabet is 
.
= 60
Hence, there are 60 permutations that can be formed from the first five letters of the alphabet.
Multiply the 12 by three and get 36. Then divide that by four and get 9
Answer:
0.4 * 70 is 28
.7 * 40 is 28
Step-by-step explanation:
Both are the same.
