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Luba_88 [7]
3 years ago
9

A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after th

e takeover. In which years was the club making loss?
Mathematics
1 answer:
Bogdan [553]3 years ago
6 0
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120

Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10

Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)

0 = 3t - 2
2 = 3t
2/3 = t

Plug 2/3 into original equation, this is a maximum. We want the minimum:

0 = t - 5
5 = t

Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
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what is the quotient (65y3 15y2 − 25y) ÷ 5y? a. 13y2 3y − 5 b. 13y3 3y2 − 5y c. 13y2 − 3y 5 d.13y2 − 3y − 5
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<em>Division, quotient, polynomial, monomial </em>

For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.

By definition, if we have a division of the form: \frac {a} {b} = c, the quotient is given by "c".

We have the following polynomial:

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C (y) represents the quotient of the division:

C (y) = \frac {65y ^ 3 + 15y ^ 2 - 25y} {5y}

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Thus, the quotient of the division between the polynomial and the monomial is given by:

C (y) = 13y ^ 2 + 3y-5

Answer:

The quotient is: C (y) = 13y ^ 2 + 3y-5

Option: A


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