For the first question, the answer is A (<em>p</em> = 27)
For the second one, I think that the answer is C
Answer:
I thinks
Step-by-step explanation:
-165...you take -5.5 times 30 and you get -165
The inverse function is equal to f-1(x) = (x - 1)/3 and the value at f-1(6) is equal to 5/3.
To find the inverse, you need to switch the f(x) and x in the equation. Then you can solve for the new f(x). The result will be the inverse (f-1)
f(x) = 3x + 1 ----> Switch f(x) and x
x = 3f(x) + 1 ----> Subtract 1
x - 1 = 3f(x) ----> Divide by 3.
f-1(x) = (x - 1)/3
Now that we have the inverse, we can plug 6 in to get the value at f-1(6).
f-1(x) = (x - 1)/3
f-1(6) = (6 - 1)/3
f-1(6) = 5/3
First, we'll find the area of the large section, including the smaller section that is white.
Area of a circle: pi x r^2
A = pi x 7^2
A = 49pi x 120/360
A = 49/3 pi cm^2
Now, we'll find the area of the small section.
A = pi x 3^2
A = 9 pi x 120/360
A = 3pi cm^2
All that's left to do now is subtract.
49/3 pi - 3 pi
40/3 pi cm^2
(or 13 1/3 = 13.33 cm^2)
Hope this helps!