Good question. Let's try this. How about People per meter squared. The average 2 bedroom apartment in the city near where I live is about 94 square meters. If there were say 100 people at a party in his home, then the number of people per square meter would be 100 / 94 = 1.06 people / square meter.
If however he called those in his home to join him for breakfast and 7 people responded then he would have 7 / 94 = 0.0745 people per m^2 When the number is this small, it might make sense to go the other way. (m^2 per person). 94/7 = 13.4 meters per person. That makes far more sense. It means that every person has 13.4 meters^2 that he could call his own.
Answer:
(D) -k2 + k - 13
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-k2 + k - 13 = -1 • (k2 - k + 13)
Trying to factor by splitting the middle term
2.2 Factoring k2 - k + 13
The first term is, k2 its coefficient is 1 .
The middle term is, -k its coefficient is -1 .
The last term, "the constant", is +13
Step-1 : Multiply the coefficient of the first term by the constant 1 • 13 = 13
Step-2 : Find two factors of 13 whose sum equals the coefficient of the middle term, which is -1 .
-13 + -1 = -14
-1 + -13 = -14
1 + 13 = 14
13 + 1 = 14
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-k2 + k - 13
Processing ends successfully
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The ratio of width to height is 5 to 8. Using this ratio, you can determine the lengths.
1. 5/8=10/x
5x=80
x=16in
2. 5/8=15/x
5x=120
x=24in
3. 5/8 = 8/x
5x=64
x=12.8in
So you take the lowest and highest values of each set and subtract the lowest value from the highest one (to calculate the range).
A. Range is 17
B. Range is 22
C. Range is 23
D. Range is 24
Therefore D’s set of data has a range with the greatest difference
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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