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Algebraic Word Problems:
Equations:
1. The total electrical output of one nuclear facility is 200 megawatts more than that of another nuclear facility.
Let L be the output of the larger facility and S the capacity of the smaller facility. A statement above written in equation form becomes L = 200MW+ S.
2. The flow in one branch of a piping system is one-third that in the other branch.
If B is the flow within the branch with more flow, and b is the flow in the smaller branch, this statement becomes the equation b = 1/3 B.
3. A man is three times as old as his son was four years ago.
Let M = man's age and S = son's age. Then M = 3 (S-4).
4. A car travels in one hour 40 miles less than twice as far as it travels in the next hour.
Let x1 be the distance it travels the first hour and x2 the distance it travels the second then, x1 = (2) (x2) -40.
Jake required to find out the perimeter of an equilateral triangle whose sides measure x + 4 cm each. Jake realized that he could multiply 3 (x + 4) = 3x + 12 to find out the total
Example of Subtraction of Fractions: 1/3 + 1/6 + 1/8 = ____ Using trial & error we could search that 24 is the LCD or smallest number in which 3, 6, and 8 will all divide w
f(x)=x^2-5x+6, determine inverse of f(x)!
Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5). Solution At first glance it might not appear which we'll be capable to
2x+4x
Write down the first few terms of each of the subsequent sequences. 1. {n+1 / n 2 } ∞ n=1 2. {(-1)n+1 / 2n} ∞ n=0 3. {bn} ∞ n=1, where bn = nth digit of ? So
how do you add all the Y.AND X UP WITH 3
Projections The good way to understand projections is to see a couple of diagrams. Thus, given two vectors a → and b → we want to find out the projection of b → onto a → . T
A={2,3,5,7,11} B={1,3,5,7,9} C={10,20,30,40,......100} D={8,16,24,32,40} E={W,O,R,K} F={Red,Blue,Green} G={March,May} H={Jose,John,Joshua,Javier} I={3,6,9,12,15}
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
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