Name the property illustrated (x + y) + 13 = 13 + (x + y) -1/2 (6m - 10n) = -3m
ID: 3408142 • Letter: N
Question
Name the property illustrated (x + y) + 13 = 13 + (x + y) -1/2 (6m - 10n) = -3m + 5n Simplify each expression 2v^3 w^-4)(7v^-6 w) = 14/v^3 w^3 (15x^5 y^-3 z^-2 / -3x^4 y^-4 z^3) = Solve the following application problems.The cost of political campaigning has changed dramatically since 1952. The amount spent, in millions of dollars, on all U.S. elections - including local, state, and national offices, etc. is approximated by the formula cost = 50.86x^2 - 316.75x + 541.48 where x represents each 4 year period since 1948. Substitute 1 for x to get the amount spent in 1952,2 for 1956, and so on. Find the amount spent on elections in 2016.Explanation / Answer
6. a) (x+y) + 13 = 13 + (x +y) This is commutative property of addition ( a + b = b + a ; here a = x + y and b = 13)
b) -1/2(6m - 10n) = -3m + 5n This is distributive property [ a(b +c) = ab + ac ]
7. a) (2v3w-4)(7v-6w) = 2*7 ( v3-6w-4+1) = 14v-3w-3 = 14/(v3w3) [ xa * xb = xa+b and x-a = 1/xa ]
b) [ (15x5y-3z-2) / ( -3x4y-4z3)]4 = (-5)4 [ x5-4y-3+4 z -2-3 ]4 = 625( xyz-5)4 = 625 x4y4z-20 = 625x4y4/z20
as (pq)r = pqr
8. cost = 50.86x2 - 316.75x +541.48
When x = 1, the amount spent in 1952 = 50.86(1)2 -316.75(1) + 541.48 = 50.86 - 316.75 + 541.48 = 275.59
When x = 2, the amount spent in 1956 = 50.86(2)2 -316.75(2) + 541.48 = 203.44 - 633.5 + 541.48 = 111.42
When x = 17, the amount spent in 1952 = 50.86(17)2 -316.75(17) + 541.48 = 14698.54 - 5384.75 +541.48 = 9855.27
( there are 16 four year periods between 1952 and 2016 as 2016- 1952 = 64 and 64/4 = 16; since 1952 = 1, 2016 = 16+1 = 17;)
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