Answer:
<em>B. The graph of g is the graph of f shifted 2 units down</em>
Step-by-step explanation:
<u>Graph of Functions</u>
We have two functions:
f(x)=3^x
g(x)=3^x-2
Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points
f(0)=3^0=1
g(0)=3^0-2=-1
f(1)=3^1=3
g(1)=3^1-2=1
f(3)=3^3=27
g(3)=3^3-2=25
We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is
B. The graph of g is the graph of f shifted 2 units down
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let x be the number of students in the class
12% failed and the number of students is 3
x*12% = 3
x*.12 = 3
Divide each side by .12
x * .12 /.12 = 3/.12
x =25
There are 25 students in the class
Answer:
D. 
inches.
Step-by-step explanation:
We have been given that the circle with center O has a minor arc BSA with a length of 
inches. The central angle is 40°.
To find the circumference of circle we will use formula:
, where 
= measure of 360 degrees in radians and 
= circumference of circle.
Let us convert measure of central angle into radians.
Upon substituting our given value in the formula we will get,
Cross multiplying we will get,
Hence, the radius of our circle is 27/4 inches.
Since the circumference of circle is . Upon substituting we will get,
Therefore, circumference of our given circle will be inches and option D is the correct choice.
Answer:
The three values are: 9, 10 and 11
