First we need to find inverse function of f(x) which is written in a form of (f(x))^(-1)
That means that we are actually looking for function f(y) and we need to solve this equation for "y"
y=(4x + 1)/3
3y = 4x + 1
4x = 3y - 1
x = (3y - 1) / 4
f(y) = (3y - 1)/4
Now we simply put the value of 3 instead of y and find the answer:
f(y=3) = (3*3-1)/4 = 2
Answer is 2
Volume of cone is (1/3)π r² h.
So since diameter is 18 inches, radius is 9 inches, right?
So just plug in values and calculate;
V = (1/3)·π·9²·14
= 378π
≈ 1187.52
Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV=
m∠TUL+
m∠LUV
now plug in the angles for each
m∠TUV=
m∠TUL+
m∠LUV
solve the equation for x
Subtract 11 from both sides
divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)°
= (24)°
answer:
24°
5/3
= 1 2/3 or 1.667
Hope this helps!