Answer:
The correct option is the last one.
Step-by-step explanation:
To transform the graph of
into
the following steps are fulfilled:
1) Move the graph 2 units to the right:
Let
then
Notice that the cut point has been moved to x = 2.
2) Reflect on the x axis:
To reflect a graph on the x-axis we do
Then 
3) Stretch according to factor 2.
For this we do 
Then we have
4) Move up the graph in two units:
We do 
Then 
These steps coincide with those listed in the last option. Therefore the correct option is the last one.
"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"
With the $10 gift card, Jose can buy at most 8 songs
x(the number of songs) less than or equal to 8
Answer:
The correct option is C: I = 10⁸I₀.
Step-by-step explanation:
The function of the Richter scale is:

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:



Therefore, the correct option is C: I = 10⁸I₀.
I hope it helps you!
Answer:
-2
Step-by-step explanation:
(5 - a) = 20 + (6a -1) . . . . . 5-a is 20 greater than 6a-1
5 = 7a +19 . . . . . . . . . . . . . add a, collect terms
-14 = 7a . . . . . . . . . . . . . . . subtract 19
-2 = a . . . . . . . . . . . . . . . . divide by 7
The value of the variable is -2.
_____
<u>Check</u>
5 - (-2) = 7
6(-2) -1 = -13
7 is 20 greater than -13, so the answer checks OK.
It should be 3.5 if im correct