Y= -2x² + 32x -12
Take the derivative, and set it equal to zero. We are finding where the slope equals zero (the peak of the parabola)
y'= -4x + 32
0 = -4x + 32
4x=32
x=8
The maximum is at the point x=8. Plugging into the original equation:
y= -2x² + 32x -12
y= -2(8)² + 32(8) -12
y= 116
The maximum is at point y=116
Keep in mind what maximum means. It is the largest value for y that the function has. That means that the range, or all possible y-values, is
y ≤ 116.
Therefore, the answer is A) Max: 116, range: y ≤ 116
Answer: (c)
Step-by-step explanation:
Given
A person has a 30% chance of winning a lottery ticket.
Probability of not getting the lottery ticket is 70%
For person to win at fifth ticket, it must fail in first four
So, the probability associated with it is

Hence, option (c) is correct.
Answer:
D.
Step-by-step explanation:
It doesnt give us anymore facts or information about when they got there or anything.
Answer:
a cylindrical carton of oatmeal with radius 3.5 in. is 9 in. tall. all cardboard, how much cardboard is used to make the oatmeal carton?
Step-by-step explanation:
Answer:
first one is 2.2mm/year and second is 6.2years and -2.2mm/year
Step-by-step explanation:
Just trust me im right