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,∞).
Answer:
8.8 cm
Step-by-step explanation:
-We know that the top 20% of the books are oversized.
-We therefore find the z-value of the top 20%:
#We substitute the z value in formula to solve X.
Where
- X is the minimum thickness of the book.
-Given 
, the minimum thickness,X can be calculated as follows:
Hence, the minimum thickness of the oversized books is 8.8 cm
Answer:
10, 12
Step-by-step explanation:
6 +4 up 6 is 10
5+7 right 5 is 7
Answer:
$2.04
Step-by-step explanation:
The bill at the end of a meal was £20.40
10% was added
service charge was added = $(20.40 x 10/100) [x%=x/100]
=$2.04
11 is South Africa because if its 60.3 when its LOW then it would be really high if it was the high temp
