The coefficient is: "1" .
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Note: There is an "<u>implied coefficient</u>" of "1"; since "1", multiplied by any value, is equal to that exact same value; by convention, we eliminate the "1" as a coefficient.
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Further explanation:
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(x+p)(x−q) = x² − xq + px − pq ;
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(x+p)(x−q) = {using "FOIL" → "First, Outer, Inner, and Last" terms}:
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<u>F</u>irst: x*x = x² ;
<u>O</u>uter: x*(-q)= -xq ;
<u>I</u>nner: p*x = px ;
<u>L</u>ast: p*(-q) = -pq
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(x + p)(x − q) = x² − xq + px − pq .
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54-60 is 90 percent because 54÷60= 0.9=90
Answer:
Step-by-step explanation:
y(y+2)=y²-6
y²+2y=y²-6
2y=-6
y=-3
2[x-(1-3x)]=3(x+1)
2[x-1+3x]=3x+3
2(4x-1)=3x+3
8x-2=3x+3
8x-3x=3+2
5x=5
x=1
If <em>x</em> is the smallest of the three, then the next two integers are <em>x</em> + 2 and <em>x</em> + 4.
"Twice the largest is 20 less than the sum of all three" translates to
2 (<em>x</em> + 4) = (<em>x</em> + (<em>x</em> + 4) + (<em>x</em> + 6)) - 20
Solve for <em>x</em> :
2<em>x</em> + 8 = 3<em>x</em> - 10
<em>x</em> = 18
Then the three numbers are {18, 20, 22}.