What is the value of the expression -|a-b| when a =7 and b -3 is?
2 answers:
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a.) The height of the closet is 96 inches, and you want to have 4 rows, so you divide the total height 96 by 4
96 ÷ 4 = 24
So each cube organizer can be a height of 24 inches since it divides out evenly
b.) Each shoe box is 4 1/2 inches, because there are 3 boxes that are stacked on top of each other, you can multiply 4 1/2 by 3, or you can do 4 1/2 + 4 1/2 + 4 1/2.
4 1/2 + 4 1/2 + 4 1/2 = 12 3/2 = 13 1/2
The total height of the 3 boxes is 13 1/2
The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
Armed with the above rules, we can split up the summation into simple terms:
=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14
(c) the maximum value of f(x) is f(14)=196
Armed with the above rules, we can split up the summation into simple terms:
=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14
(c) the maximum value of f(x) is f(14)=196
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.