We know that

1) The degree of a polynomial is the highest degree of its terms
2) The leading term in a polynomial is the highest degree term
3) The leading coefficient of a polynomial is the coefficient of the leading term
Therefore

The coefficient of first term of a polynomial written in standard (descending order) form is the coefficient of the leading term, thus is called the leading coefficient.

the answer is
The leading coefficient

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3 years ago

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Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

nydimaria [60]

Answer: For 10 sessions, the cost of the two plans the same.

Step-by-step explanation:

Let x= Number of sessions.

Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Total charge for x sessions = 50+30x

Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a trainer.

Total charge for x sessions = 250+10x

When both plan charges the same, then

$50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10$

i.e. For 10 sessions, the cost of the two plans the same.

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3 years ago