Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
Answer:
Percent Decrease = 20% Decrease
Step-by-step explanation:
To find percentage decrease, we will use a simple formula shown below:
Percentage Decrease/Increase = 
Where
New is the latest number of members (which is 24)
Old is the initial number of members (which is 30)
<em>Note: the multiplication by a factor of "100" brings the answer to a percentage</em>.
Now, lets substitute the numbers and figure out the percentage decrease:

So, it comes to -20, which is a decrease of 20%
Using Sine.
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2*a = 6√3 * √3
2a = 6 * √(3*3)
2a = 6*3
a = 6*3/2
a = 3*3 = 9
Option E.
Hope this helps.
Answer:
Step-by-step explanation:
(equation: 17-2.5=2)
17-2.5=2
<u>-2.5 </u>
<u>17=2</u>
<u>17 divided by 2 </u>
<u>8.5 is the </u>
<u>he would have 8.5 inches of snow on his lawn.</u>