Answer:
none of them are constant of proportinality.
Step-by-step explanation:
because if you divided each one. you do not get the same answer. if you did it would have to be either of the others, but in this case there is no constant of proportinality in that chart
A. 2x^5+4x^3+2x-1
---------------------
(x^2+1)^2
B. 4
--------------
(x-1)^2(x+1)
![f(x)=6x+\dfrac{24}{x^2}+3\\ f'(x)=6-\dfrac{48}{x^3}\\ 6-\dfrac{48}{x^3}=0\\ 6x^3-48=0\\ 6x^3=48\\ x^3=8\\ x=2\\ ](https://tex.z-dn.net/?f=f%28x%29%3D6x%2B%5Cdfrac%7B24%7D%7Bx%5E2%7D%2B3%5C%5C%0Af%27%28x%29%3D6-%5Cdfrac%7B48%7D%7Bx%5E3%7D%5C%5C%0A6-%5Cdfrac%7B48%7D%7Bx%5E3%7D%3D0%5C%5C%0A6x%5E3-48%3D0%5C%5C%0A6x%5E3%3D48%5C%5C%0Ax%5E3%3D8%5C%5C%0Ax%3D2%5C%5C%0A)
For
![x](https://tex.z-dn.net/?f=x%3C2%20%5Cwedge%20x%5Cnot%3D0)
the derivative is negative.
For
![x>2](https://tex.z-dn.net/?f=x%3E2)
the derivative is positive.
Therefore at
![x=2](https://tex.z-dn.net/?f=x%3D2)
there's a minimum.
Answer:
6 * (x - 1.50) = 52.50 ; 10.25
Step-by-step explanation:
Given that :
Number of tickets purchased = 6
Coupon off per ticket = 1.50
Total Amount paid for tickets = $52.50
Let x = initial price of ticket :
Number of tickets purchased * (Initial ticket price - coupon) = total amount paid
6 * (x - 1.50) = 52.50
6x - 9 = 52.50
6x = 52.50 + 9
6x = 61.50
x = 61.50 / 6
x = 10.25
Hence, initial price of ticket = $10.25
Answer:
4 terms.
Step-by-step explanation:
5, 9x, 7, and 2x^9