Answer:
f^-1 (x)=x/3
Step-by-step explanation:
y=3x
x=3y
y=x/3
Answer:
Let x = total number of apples picked by the prince
x=44
Step-by-step explanation:
1st troll payment
x-(0.5x+2)
x-0.5x-2
0.5x-2 (that is the amount of apples left after 1st troll payment)
2nd troll payment
(0.5x-2)-(0.5(0.5x-2)+2)
Simplifying,
(0.5x-2)-(0.25x-1+2)
(0.5x-2)-(0.25x+1)
0.5x-2-0.25x-1
0.25x-3 (apples remaining after 2nd troll payment)
3rd troll payment
(0.25x-3)-(0.5(0.25x-3)+2)=2
(0.25x-3)-(0.125x-1.5+2)=2
(0.25x-3)-(0.125x+0.5)=2
0.25x-3- 0.125x-0.5=2
0.125x-3.5=2
0.125x =2+3.5
0.125x=5.5
x=5.5/0.125 (divide both sides by 0.125)
=44 apples
Therefore total number of apples picked by the prince, x=44
The first box should be correct
30 + c = 40
Answer:
1/2
Step-by-step explanation:
cotangent is the reciprocal of a tangent
tanθ = 2
cotθ = 1/2
Answer:
The solution of the given quadratic equation is 1 and (-10).
Step-by-step explanation:
Solving equation by quadratic formula:
Here , a = 1,b = 9, c = (-10)
The solution of the given quadratic equation is 1 and (-10).
