Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12
y = 42°
Because the angle at the side of right angle will also be right angle or 90°
Sum of all angles of a triangle = 180°.
So, 48° + 90° + y = 180°
=> 138° + y = 180°
=> y = 180° - 138°
=> y = 42°
The options are;
A) b + c = 90
B) 90 + c = 180
C) b + c = 180
D) 42 + b = 150
Answer:
C) b + c = 180
Step-by-step explanation:
From angle theorems, we know that sum of angles on a straight line is 180°
Now, c and 42° form a straight line.
Thus;
c + 42 = 180°
c = 180 - 42
c = 138°
Similarly b and c form a straight line and so;
b + c = 180°
From the given options, the only correct one is Option C.
Answer:
The correct option is A.
Step-by-step explanation:
The general exponential growth model is defined as

Where, a is initial value, r is growth rate and x is time.
The initial population of town is 9800 and growth rate is 2%. The population growth model is defined as



Put x=7 to find the estimated population after 7 years.


Therefore the correct option is A.
The answer to that is 18. Since your power is just 1, it is itself.