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Answer: c. 8!
Step-by-step explanation:
We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-
( in words :- n factorial)
Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .
Hence, the correct answer is c. 8! .
Alternatively , we also use multiplicative principle,
If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..
So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!
Hence, the correct answer is c. 8! .
Answer:
<em>The coefficient of the squared expression in the parabolas equation will be 5.</em>
Step-by-step explanation:
<u>The vertex form of parabola</u> is: , where
is the vertex point and
is the coefficient of
term.
The vertex is given as . That means,
and
So, the vertex form will be:
Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....
Thus, the coefficient of the squared expression in the parabolas equation will be 5.