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3 years ago

How many 5-letter words can be made from the letters WASTEFUL if

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

8 0

Answer:

Step-by-step explanation:

awful, false, fates, fault, feast ,feats, felts ,fetal, fetas, fetus ,flats ,flaws fleas, flews ,flues ,flute ,fuels ,fusel, leafs ,least ,lefts, lutes , slate ,stale steal, stela, sulfa, swale, sweat, taels, tales, talus , teals, tules , wafts, wales, waste, weals, wefts, and welts are all 5-letter words that can be made from the letters WASTEFUL.

e-lub [12.9K]3 years ago

4 0

Answer:

Waste

Fuels

Steal

Step-by-step explanation:

3 because 1 2 3

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$x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.$

When, x = 3, then from (iii), we get

$y=4-3=1.$

And, when x = 4, then from (iii), we get

$y=4-4=0.$

Thus, the required solution of the given system is

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