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Arthur D.'s Resources

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S, Y, R, and V are used to make 5-letter codes you want only one S there are 5 positions S can be in position 1, for position 2 you can choose from 3 letters, for position 3 you can choose from 3 letters, for position 4 you can choose from 3 letters, and for position 5 you can choose...

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  4x^(-2)-11x^(-1)-20=0 let u=√x^(-2) so u^2 would equal x^(-2) √x^(-2)=√(1/x^2)=1/x so u=1/x and u^2=1/x^2=x^(-2) substitute 4u^2-11u-20=0 4*20=2*2*2*2*5=(2*2*2*2)*5 and 16-5=11 factor (u-4)(4u+5)=0 u-4=0 u=4 4u+5=0 4u=-5 u=-5/4 we...

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x-1 squared = 9 (answer)

(x-1)^2=9 x^2-2x+1=9 x^2-2x+1-9=0 x^2-2x-8=0 factor (x-4)(x+2)=0 x-4=0 x=4 x+2=0 x=-2   (x-1)^2=25 x^2-2x+1=25 x^2-2x+1-25=0 x^2-2x-24=0 factor (x-6)(x+4)=0 x-6=0 x=6 x+4=0 x=-4...

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√(x+2)=x-4 square both sides x+2=x^2-8x+16 x^2-8x+16-x-2=0 x^2-9x+14=0 factor (x-7)(x-2)=0 x-7=0 x=7 (answer) x-2=0 x=2 but 2 makes the left side equal to 2 and the right side equal to -2 so disregard the answer of 2 !!!

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I think there's a typo in 3 so I'll do it with what I think is correct.   (10^(1-n)^n)/(1000^n)^n+1 is the left side which I'll do first (10^(n-n^2))/[(10^3)^n]^(n+1) [10^(n-n^2)]/[(10)^3n]^(n+1) [10^(n-n^2)]/[10^(3n^2+3n) when you divide you subtract...

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Bob's Average? (answer)

(65+98+80+87+T)/5=80 where T=next test score (330+T)/5=80 330+T=5*80 330+T=400 T=400-330 T=70

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integers ? (answer)

ab is the number a+b=12 10a+b=13a b=13a-10a b=3a substitute into a+b=12 a+3a=12 4a=12 a=3 b=9 39 is the number

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what's this mean (answer)

ratio 4 to 7   Group 1     Group 2 4               7 8               14 12            ...

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(1/2)x-(5/3)=(-1/2)x+(19/4) add (1/2)x to both sides x-(5/3)=(19/4) add (5/3) to both sides x=(19/4)+(5/3) x=(57/12)+(20/12) x=77/12 x=6 5/12

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(x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius x^2+y^2-12x+2y+33=0 rearrange terms x^2-12x    +y^2+2y     =-33 complete the square for x and for y 12/2=6 and 6^2=36 2/2=1 and 1^2=1 add 36 and...

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