Answer:
the first one is proportional because you could multiply by 4
1) Since order does not matter, 10C5 = 252.
2) I don't think I understand the 2nd question, can you elaborate.
<span>y=x^2+5x+6
y=4x+12
Solution = (-3,0) and (2,20)
</span><span>y=x^2-3x-1
y=8x-1
Solution = (0,-1) and (11,87)</span>
Answer:
George Washington.
Step-by-step explanation:
President Washington was elected President by a unanimous election of 69 voters in 1788, and served two terms. He set about creating a strong, well-funded national government that would maintain neutrality in Europe's raging wars, quell uprisings, and gain the approval of Americans of all types. His leadership style has established many forms and rituals of government that have been used, such as the use of a cabinet system and the swearing-in of oaths. Still, the peaceful transition from his presidency to the presidency of John Adams has created a tradition that continues into the 21st century. Washington was hailed as a patriarch, even during his lifetime.
<h3>
Answer: 720</h3>
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Explanation:
The number 8 from "8 year old boy" can be completely ignored. In my opinion, this is an (un)intentional distraction on your teacher's part.
There are 6 toys to arrange. The order is important.
- For the first slot, there are 6 choices.
- Then the second slot has 5 choices (we cannot have a toy occupy more than one slot at a time).
- The third slot has 4 choices, and so on.
We have this countdown: 6,5,4,3,2,1
Those values multiply out to 6*5*4*3*2*1 = 720
There are 720 ways to arrange the 6 different toys. Order matters.
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An alternative approach is to use the nPr permutation formula with n = 6 and r = 6. We use a permutation because order matters.
The nPr formula is
where the exclamation marks indicate factorial. For example, 6! = 6*5*4*3*2*1 = 720.
