1 answer:
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Answer:
To spend at most $93, they need to rent the room less than or equal 13 hours.
Step-by-step explanation:
<u><em>The complete question is</em></u>
To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,
Let
t ----> the number of hours
we know that
I this problem the word "at most" means "less than or equal to"
The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93
so
The inequality that represent this situation is
solve for t
subtract 15 both sides
Divide by 6 both sides
therefore
To spend at most $93, they need to rent the room less than or equal 13 hours.
Answer:
Explanation:
The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.
Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.
The limits of the quadratic function of general form as x approaches negative infinity or infinity, when
is positive, are infinity.
That is because as the absolute value of x gets bigger y becomes bigger too.
In mathematical symbols, that is:
Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².
Two examples are: