Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function 
.
The new transformed function is 
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes 
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes .
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
7 hours + 6 hours + 6 hours
=19 hours
12 minutes + 46 minutes + 53 minutes
=111 minutes
=1 hour 51 minutes
19 hours + 1 hour and 51 minutes is 20 hours and 51 minutes. This is the total time.
Average time = total time/number of deliveries
(20 and 51/60) divided by 3
=6.95 hours
= 6 hours and 57 minutes
Answer:
Step-by-step explanation:
Ill try to break this down, simply:
When we talk about percentages we are talking about how much part of something we have and the percent sign is a just a symbol representing that.
Lets say we have 2 out of 10 apples and we need to convert this to a percentage
First think about how many apples we have in total... and that would be 10, and then how many apples we currently have being 2:
So if we put the part that we have over the whole thing we get:
So now lets turn this into a decimal, when its something over 10 its really easy, all we have to do is move the decimal back one place!
So we have 2 and if we move the decimal back one place we get .2 or 0.2
Now we have our decimal, to convert this into a percentage all we have to do is multiply our decimal by 100
So:
0.2 x 100 = 20%
All you do when you multiply by 100 is move the decimal back over 2 places one place for each zero so:
0.2 --> 2. --> 20.
Which gives us again 20%
X would be 0 while Y would be 4
3x+y=4
-(2x+y=4)
----------------
x=0
Plug in x to any of those two equations in their original form
3(0)+y=4
0 + y = 4
y = 4
Answer:
The measure of the side 
is 8.8.
Step-by-step explanation:
Since 
, then 
, 
, 
and 
. From figure we have the following relationship:
(1)
Where 
is the proportionality ratio.
If we know that 
, then the measure of side is:
(1b)
(1c)
The measure of the side is 8.8.
