The definition of the derivative is
as h goes to 0. So since the f is ln(x)
Since it is evaluated at 5 (the point 5, ln5), it is
X= number of student tickets
Y= number of on student tickets
x+y=311
0.50x + 1.50y = 385.50
Solve x in 1st equation
X+y=311
X= -y + 311
Now substitute x into second equation to solve for y
0.50(-y+311)+ 1.50y = 385.50
-0.50y+311.50+1.50y=385.50
Y+311.50=385.50
Y= 385.50-311.50
Y= 74
Now substitute y answer to first equation to find x
X+y=311
X+ 74=311
X= 311-74
X= 237
So 237 students tickets and 74 non students tickets
0 × <span>0 = 0
0 </span>× <span>1 = 0
1 </span>× <span>1 = 1
Which means multiplication is closed under {0, 1}
</span><span>1 </span>÷ <span>1 = 1
0 </span>÷ <span>1 = 0
</span>
Division is not closed under {0, 1}
1 + 1 = 2
Addition is not closed under {0, 1}
0 - 1 = -1
Subtraction is not closed under {0, 1} either
So it's only A. Multiplication which is closed under {0, 1}
