Answer:
Choice A) 
.
Step-by-step explanation:
What are the changes that would bring 
to 
?
- Translate to the left by
unit, and - Stretch vertically (by a factor greater than .)
. The choices of listed here are related to :
- Choice A)
; - Choice B)
; - Choice C)
; - Choice D)
.
The expression in the braces (for example 
as in ) is the independent variable.
To shift a function on a cartesian plane to the left by 
units, add to its independent variable. Think about how 
, which is to the left of , will yield the same function value.
Conversely, to shift a function on a cartesian plane to the right by units, subtract from its independent variable.
For example, 
is unit to the left of . Conversely, 
is unit to the right of . The new function is to the left of . Meaning that should should add to (rather than subtract from) the independent variable of . That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically.
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between
and zero will flip its graph about the -axis. Doing so will also compress the graph vertically. - Multiplying a function by a number that is less than will flip its graph about the -axis. Doing so will also stretch the graph vertically.
The graph of is stretched vertically. However, similarly to the graph of this graph , the graph of increases as increases. In other words, the graph of isn't flipped about the -axis. should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points 
's that are on the graph of fit into the expression 
.
Answer:
So 9 months is 273 days and 394200 minutes so if the butterfly spends 30 days means one month so it is 43800 minutes old .
hope it gonna help you.
Step-by-step explanation:
Answer:
14 in
Step-by-step explanation:
4+12+4+4+4=28/2= 14
Answer:
X=36
Step-by-step explanation:
3x+72=180
3x=180-72
3x=108
x=36
Answer:
A) $5 × 25 = $75
B) 37.69%
Step-by-step explanation:
The dimension of five dollar bill:
Length = 155.956mm
Width = 66.294
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
Dimension of box :
156 x 66.3 x 66.3 mm
If volume of the 5—dollar bill is 258,473.68mm^3
Then, the Thickness of the five dollar stack equals :
Volume = Length × width × height
258,473.68mm^3 = 155.956mm × 66.294 × height
258,473.68 = 10338.947064 × h
h = (258473.68/10338.947064)
h = 25.000000003288 = 25
Therefore, the amount of money in the box is:
$5 × 25 = $75
Percentage of box volume taken up by $5 bill
Volume of the box:
156 x 66.3 x 66.3 mm = 685727.6399mm^3
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
(258,473.68 / 685727.6399) × 100
=37.69%
