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Helga [31]
3 years ago
15

Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the r

ace.
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0
16 i believe its 16 as the answer to this
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Consider triangle ABC as pictured below. If B is transformed according to the rule (x,y) --> (x-4,y), then △AB'C will be a __
inessss [21]

Answer:

Right triangle

Step-by-step explanation:

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larisa86 [58]

Answer:

Step-by-step explanation:

A= 1 * 1 = 2

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5 0
3 years ago
Let f(x)=4x+1 and g(x)3x+k find value of k if fog(x)=gof(x)​
kogti [31]

Answer:

\huge\boxed{k=\dfrac{2}{3}}

Step-by-step explanation:

f(x)=4x+1\\\\g(x)=3x+k\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)=4(3x+k)+1=(4)(3x)+(4)(k)+1=12x+4k+1\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)=3(4x+1)+k=(3)(4x)+(3)(1)+k=12x+3+k\\\\(f\circ g)(x)=(g\circ f)(x)\iff12x+4k+1=12x+3+k\qquad|\text{cancel}\ 12x\\\\4k+1=3+k\qquad|\text{subtract 1 from both sides}\\\\4k=2+k\qquad|\text{subtract}\ k\ \text{from both sides}\\\\3k=2\qquad|\text{divide both sides by 3}\\\\k=\dfrac{2}{3}

5 0
3 years ago
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