Answer:
Step-by-step explanation:
information from the range
If the range is 26 and the largest number is 31 then the smallest number is 31 - 26 = 5
Information from the median
The median must consist of 2 numbers because we have 6 integers for the data and median must consist of the middle 2. Since we are told that the median is 15 and we need 2 integers the other integer must be 15 as well..
So what do we know so far.
5 15 15 31
Information from the mean
There are six integers making up the series of numbers. The mean is 16. Therefore all 6 integers added together must be 6 * 16 = 96
What do we have so for?
5 + 15 + 15 + 31 = 66
What do the other two numbers sum to?
96 -66 = 30
Getting the answer.
The first number to try must be 13. It has to be below 15 (the median and odd. That's 13).
So now we have
5 13 15 15 ___ 31
But from the mean we need 30
30 - 13 = 17
And we have a winner because 17 is above 15.
Answer
5 13 15 15 17 31
The two fractions that added together give you a sum of -7/24 are 1/24+-8/24= -7/24
Find the critical points of f(y):Compute the critical points of -5 y^2
To find all critical points, first compute f'(y):( d)/( dy)(-5 y^2) = -10 y:f'(y) = -10 y
Solving -10 y = 0 yields y = 0:y = 0
f'(y) exists everywhere:-10 y exists everywhere
The only critical point of -5 y^2 is at y = 0:y = 0
The domain of -5 y^2 is R:The endpoints of R are y = -∞ and ∞
Evaluate -5 y^2 at y = -∞, 0 and ∞:The open endpoints of the domain are marked in grayy | f(y)-∞ | -∞0 | 0∞ | -∞
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:The open endpoints of the domain are marked in grayy | f(y) | extrema type-∞ | -∞ | global min0 | 0 | global max∞ | -∞ | global min
Remove the points y = -∞ and ∞ from the tableThese cannot be global extrema, as the value of f(y) here is never achieved:y | f(y) | extrema type0 | 0 | global max
f(y) = -5 y^2 has one global maximum:Answer: f(y) has a global maximum at y = 0
Answer:
13x+12
Step-by-step explanation:
27x-14x=13
+12 because there is nothing else there
Answer:
12m/s
Step-by-step explanation:
96/8 = 12