1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.
kozerog [31]

Answer:

cos\theta=1/3

Step-by-step explanation:

The point at the terminal side of an acute angle is given by (1, 2\sqrt{2} ).

That is,

x = 1 and y= 2\sqrt{2} .

Let r be the length of line segment drawn from the origin to the point and is given by the formula:

r = \sqrt{x^{2} + y^{2}}

Substituting the values of x and y into r,

r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}

r = \sqrt{1 + 8}

r = \sqrt{9}

Thus, r=3

Also, cos\theta is given by:

cos\theta = x/r\\

Substituting values of x and r,

cos\theta = 1/3\\

4 0
3 years ago
What is the missing part​
GrogVix [38]
Do 24 times 25 and then divide that in half
7 0
3 years ago
Write the expression without using exponents (-2y)^4
JulsSmile [24]

Answer:

16yyyy

Step-by-step explanation:

Getting rid of exponents:

  • (-2y)^4 =
  • (-2)^4*y^4 =
  • 16yyyy
5 0
3 years ago
Read 2 more answers
Number 5 only need help
maksim [4K]

Answer:

Step-by-step explanation:

5.A True

B. True

C. False

3 0
3 years ago
Read 2 more answers
Two triangles are shown on the graph below. Which is a true statement about the triangles?
andriy [413]

Answer:

where the triangles are........????

4 0
3 years ago
Other questions:
  • Is the expression 4(3 + 5) – 10 = 4 x 3 + 5 – 10 true or false? Explain
    15·1 answer
  • Gavin deposited $613 into a savings account seven years ago. The account earns an interest rate of 3.4% compounded monthly. What
    15·1 answer
  • Geometry math question
    15·1 answer
  • 5 days equals how many hours? ​
    10·2 answers
  • Sam and Annika ride their bikes to school. Sam rides his bike (k) kilometers . Annika rides her bike 2 less than 4 times as many
    7·1 answer
  • Which number sentence is true?​
    8·1 answer
  • The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20%
    5·1 answer
  • Consider a particle that moves through the force field F(x, y) = (y − x)i + xyj from the point (0, 0) to the point (0, 1) along
    14·1 answer
  • If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please
    15·2 answers
  • 3х+бх<br> What is 3x +6x simplified
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!