Answer:
f(x)=104x-x^2
Step-by-step explanation:
Let
x = number of tickets sold.
example, 2 tickets cost 2 · 408 = $816
3 tickets cost 3 · 404 = $738.
The cost of buying x tickets= the number of tickets sold × the price of each ticket.
If x tickets are sold, then the price of each ticket is 412-4(x-1)
Then the quadratic function that gives the total cost of buying x tickets is given by
Cost =quantity sold*price
=412-4(x-1)*x
=(412-4x+4)*x
=412x-4x^2+4x
=416x-4x^2
Divide through by 4
=104x-x^2
Therefore, the required quadratic function is
f(x)=104x-x^2
Answer:
By next September, the estimated population would be 284 cottontail rabbits
Step-by-step explanation:
The formula that express the growth of the rabbits is
Y = 175(2.7)0.05t
Y = number of rabbits
Where t = time in months.
The growth of the rabbits in 12 months would be. Since from one September to another equal 1 year which is 12 months.
Y = 175(2.7)0.05(12)
Y = 283.5 = 284 rabbits
The estimated population of cottontail rabbits by next September is 284 rabbits
Answer:
Step-by-step explanation:
Use the total number as the denominator: 6 + 8 = 14.
Use each of the ratio terms as the numerator in a fraction: ...
Reduce each fraction to lowest terms: ...
The part-to-part ratio 6 : 8 converts into the fractions:
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